CROSS REFERENCE TO RELATED APPLICATIONS

The present application claims the benefit of U.S. Provisional Application No. 61/329,504, filed April 29, 2010, which is incorporated herein by reference.

TECHNICAL FIELD

The technical field of the present invention generally relates to systems and methods for coordinating the scheduling of beamformed data to reduce interference. Transmissions from a base station can be scheduled according to a variety of factors, including the level of interference from adjacent base stations, a priority of reducing interference, and the relative phase differences of adjacent base stations, leading to lower interference levels and to generally higher network efficiency.

BACKGROUND ART

Wireless communications systems can use transmit beamforming to improve the level of the signal seen at a desired receiver, as well as reduce the levels of interference seen at other receivers. The interference reduction capability of beamforming can be particularly advantageous in cellular wireless systems, where high levels of interference can severely reduce the capacity of such systems.

Beamforming generally refers to techniques used in wireless communications systems such as radio frequency, optical frequency or acoustic frequency systems wherein signals transmitted or received by multiple transmit or receive sensors are combined in such as way as to improve their overall gain, or carrier to interference ratio. Beamforming requires at least two transmit or receive sensors.

Beamforming has typically been used in cellular wireless communications systems to improve the range over which a mobile device can communicate with the base station. An additional possibility with beamforming is the ability to reduce interference by choosing phases and signal amplitudes that can cause the signals received at or transmitted by a different mobile station to cancel.

Beamforming typically employs multiple antennas at the base station and uses signal processing techniques to ensure that the phases of the signals are aligned with each other by the time that they reach the mobile device. In systems that use Time Division Duplexing, (TDD) where the same set of frequencies are used for both downlink (base station to mobile station) and uplink (mobile station to base station) transmissions, the base station can take advantage of the channel reciprocity to adjust the amplitudes and phases of the transmissions at each antenna. For Frequency Division Duplexing (FDD) systems, where different frequencies are used for the downlink and uplink transmissions, feedback from the mobile station to the base station about the amplitudes and phases of the signals received at the mobile station is generally required.

Cellular wireless beamforming systems typically use from two to eight antennas. Since the cost of supporting beamforming in a base station product increases as the number of antennas increase, systems with more than eight antennas have generally been regarded as being cost prohibitive.

FIG. 1 illustrates a perspective view of a wireless beamforming system 100 that uses two transmit antennas at a base station to communicate with a mobile station in accordance with an embodiment of the invention. Signal processing algorithms at the base station 102 choose the appropriate phases and amplitudes of the signals 104 and 106 at each of the base station transmit antennas to ensure that the combined signal received at the mobile station 108 has sufficient power to operate correctly.

FIGS. 2-5 show some examples of how the phase and amplitude differences between the two signals 104 and 106 arriving at a mobile device (e.g., 108), or a customer premise equipment (CPE), can impact the combined signal that the receiver sees. A beamforming system (e.g., 100) can control the relative amplitudes and phases at the transmitter so that the combined signal seen at the receiver (e.g., 108) can have increased amplitude, or can have reduced amplitude.

FIGS. 2A and 2B illustrate plots 202 and 204, respectively, where two sinusoidal signals of equal power with phase differences of 0° and 180° are being received at a mobile device (e.g., 108) in accordance with an embodiment of the present invention. In the first plot 202, the two signals 104 and 106 are perfectly aligned with each other in phase. The combined signal (marked with triangles) has twice the amplitude of the individual signals. In the second plot 204, the two signals are 180° out of phase with each other. In this case, the signals cancel each other out perfectly, resulting in a combined signal that has zero amplitude. The receiver (e.g., 108) in this case does not detect any signal due to the perfect cancellation of the signals through destructive interference.

FIGS. 3A and 3B illustrate plots 302 and 304, respectively, where two sinusoidal signals of unequal power with phase differences of 0° and 180° are being received at a mobile device (e.g., 108) in accordance with an embodiment of the present invention. In this example, the two signals are not equal in power but rather the first signal 104 is 3dB stronger than the second signal 106. The first plot 302 depicts the two signals 104 and 106 perfectly aligned with each other in phase, resulting in a much stronger received combined signal. The second plot 304 shows the scenario where the two signals 104 and 106 are 180° out of phase with each other. In this scenario, the signals do not completely cancel each other out, but the combined signal at the receiver is still attenuated significantly when compared with the case of the two separate signals being aligned perfectly with each other (e.g., in plots 202 and 302).

It is not necessary that the signals arriving at the receiver be aligned exactly in phase in order for a combining gain in signal strength to be achieved. Likewise, it is not necessary that the signals be exactly 180° out of phase with each other to realize a signal cancellation. Thus, FIGS. 4A and 4B illustrate plots 402 and 404, respectively, where two sinusoidal signals of unequal power with phase differences of 45° and 160° are being received at a mobile device (e.g., 108) in accordance with an embodiment of the present invention

FIGS. 4A and 4B show the same two signals (e.g., signals 104 and 106) with the same 3dB power difference as in FIGS. 3A and 3B, but this time the phase differences at the receiver (e.g., 108) are 45° and 160°. In the scenario where the signals are received with a 45° phase difference (i.e., in plot 402), the combined signal at the receiver still shows significant gain and is not much reduced when compared to the scenario where the signals are received with a 0° phase 100 difference shown in plot 302 of FIG. 3A. Similarly, when the original signals are received 160° out of phase with each other (as depicted in plot 404), there is still a significant reduction in the level of the combined signal when compared to the scenario where the signals are received with a 180° phase difference shown in plot 304 of FIG. 3B.

105 FIG. 5 illustrates a plot 500 of the power gain of the combined signals, also known as the beamforming gain, versus the phase difference of two signals (e.g., signals 104 and 106) at a receiver (e.g., 108) in accordance with an embodiment of the present invention. Note that the plot 500 assumes that both signals are received with equal amplitude, similar to the signals depicted in FIGS. 2A and 2B.

110 The beamforming gain is relative to a signal sent at a nominal level of OdB from one of the transmit antennas. The largest gain (6dB) is seen when the two signals are perfectly aligned in phase (e.g., as in plot 202), while the lowest gain (in this case negative °° when expressed in dB) is seen when the signals have a phase difference of 180° (e.g., as in plot 204).

115 Modern wireless communication networks include many different network topologies comprising heterogeneous mixtures of macrocell, microcell, picocell, and femtocell resources. At the highest level of wireless coverage, a macrocell provides cellular service for a relatively large physical area, often in areas where network traffic densities are low. In more dense traffic areas, a macrocell may act

120 as an overarching service provider, primarily responsible for providing continuity for service area gaps between smaller network cells. In areas of increased traffic density, microcells are often utilized to add network capacity and to improve signal quality for smaller physical areas where increased bandwidth is required. Numerous picocells and femtocells generally add to network capacity for even

125 smaller physical areas in highly populated metropolitan and residential regions of a larger data communications network.

This mixture of larger and smaller cells can reduce periods of network congestion created by traditional network architecture which previously bottlenecked a majority of regional subscriber communications through a small

130 number of larger network cells (e.g., macrocells or microcells). This congestion reducing technique can improve a service provider network's Quality of Service (QOS) as well as network service subscribers' collective Quality of Experience (QOE) within a particular portion of a data communications network. Negative effects associated with poor QOS and poor QOE (e.g., conditions largely caused

135 by congestion and/or interference), which can be mitigated by adding a substantial number of short-range wireless base station devices to network infrastructure, may include: queuing delay, data loss, as well as blocking of new and existing network connections for certain network subscribers.

As the number of overlapping cells in a network increases (i.e., the number

140 of macrocells, microcells, picocells, and femtocells in a network), it becomes increasingly important to manage the airlink resources shared by the components in a network. By way of example, resources such as frequency channels, timeslots, and spreading codes need to be managed for each cell in a network, and poor management can result in increased interference and a decrease in overall

145 network efficiency.

Prior art systems have attempted to use beamforming techniques to manage a transmission from a base station to an intended mobile device to increase the signal strength similar to the techniques described in plots 202, 302, and 402. Some prior art systems have attempted to reduce undesired interference

150 levels using beamforming signal cancellation techniques similar to the techniques described in plots 204, 304, and 404. However, these systems require relatively complex signal processing algorithms and communications between base stations to achieve the interference reductions. Thus, it would be desirable to schedule transmissions in a wireless network such that the signals received by a mobile

155 device from a serving base station combine in a constructive manner at the mobile receiver, while signals arriving at a mobile base station from non-serving base stations combine in a destructive manner at the mobile receiver. Additionally, it would be desirable for the scheduling to be minimally resource-intensive so that complex scheduling can be easily performed.

160 DISCLOSURE OF THE INVENTION

This disclosure is provided to introduce (in a simplified form) a selection of concepts that are further described below in the Detailed Description. This summary is not intended to identify key features of the claimed subject matter, nor is it intended to be used as an aid in determining the scope of the claimed subject

165 matter. In overcoming the above disadvantages associated with interference caused by adjacent sectors in wireless networks, systems and methods are described herein for coordinating the scheduling of beamformed data to reduce unwanted interference.

170 The present invention may include a wireless communication system for coordinating the scheduling of beamformed data to reduce interference, comprising: a first base station; a second base station; a data communication network facilitating data communication amongst the first base station and the second base station; and a first mobile station, wherein a first beamformed signal

175 received by the first mobile station from the first base station is received as a communication; and wherein a second beamformed signal received by the first mobile station from the second base station is received as interference; wherein the system is configured to: schedule a first data package in a first wireless resource with a first phase adjustment at the first base station in coordination with

180 an associated second phase adjustment of a second wireless resource at the second base station; and transmit the first data package as the first beamformed signal to a first mobile station.

In accordance with another aspect of the invention, the first wireless resource at the first base station corresponds to a first timeslot associated with at

185 least one frequency, and wherein the second wireless resource at the second base station corresponds to the first timeslot associated with the at least one frequency of the first base station.

In accordance with another aspect of the invention the first phase adjustment is a quantized phase adjustment that determines the amount of

190 constructive interference in the first beamformed signal as received by the first mobile station; and wherein the second phase adjustment is a quantized phase adjustment that determines the amount of destructive interference in a second beamformed signal as received by the first mobile station.

In accordance with another aspect of the invention, the system is further

195 configured to: measure a first phase difference of the first beamformed signal at a first mobile station; measure a second phase difference of a second beamformed signal from the second base station at the first mobile station; determine the first phase adjustment based on the first phase difference measurement; and determine the second phase adjustment based on the second phase difference 200 measurement; wherein the first phase adjustment increases a gain of the first beamformed signal at the first mobile station; and wherein the second phase adjustment decreases a gain of the second beamformed signal at the first mobile station.

In accordance with another aspect of the invention, the first data package is

205 transmitted in the first wireless resource such that the second phase adjustment associated with a second beamformed signal transmitted by the second base station is selected so that the second beamformed signal is received as deconstructive interference at the first mobile device.

In accordance with another aspect of the invention, the first phase

210 adjustment and the second phase adjustment are associated via a first phase adjustment map associated with the first base station and a second phase adjustment map associated with the second base station, the first phase adjustment map and the second phase adjustment map aligning the first wireless resource and the first phase adjustment with the second wireless resource and the

215 second phase adjustment.

In accordance with another aspect of the invention, the system further comprises: a plurality of mobile stations in communication with the first base station, each mobile station associated with at least one of a plurality of data packages; and at least a third base station, wherein a third beamformed signal

220 received by the first mobile station from the third base station is received as interference; and a CPE phase management table for scheduling transmissions from at least the first base station, wherein the system is further configured to: for each of the plurality of mobile stations and the first mobile station, assign a priority level to the second base station and the third base station, the priority level

225 indicating the relative priority of reducing interference from the second base station and third base station received by each of the plurality of mobile stations and the first mobile station; and schedule for each mobile device in the CPE phase management table at least one of the plurality of associated data packages based on a phase adjustment associated with each mobile device and an associated

230 optimal phase adjustment associated with each of the second base station and the third base station. The present invention may further include a computer implemented method for coordinating beamformed data transmissions, comprising: scheduling a first data package in a first wireless resource with a first phase adjustment at a first

235 base station in coordination with an associated second phase adjustment of a second wireless resource at a second base station; and transmitting the first data package as a first beamformed signal to a first mobile station.

The present invention may further include a computer readable medium encoded with computer-executable instructions for coordinating beamformed data

240 for wireless transmission, which when executed, performs a method comprising: scheduling a first data package in a first wireless resource with a first phase adjustment at a first base station in coordination with an associated second phase adjustment of a second wireless resource at a second base station; and transmitting the first data package as a first beamformed signal to a first mobile

245 station.

BRIEF DESCRIPTION OF THE DRAWINGS

Preferred and alternative examples of the present invention are described in detail below by way of example and with reference to the drawings, in which:

FIGURE 1 illustrates a perspective view of a wireless beamforming system 250 that uses two transmit antennas at a base station to communicate with a mobile station in accordance with an embodiment of the present invention;

FIGURES 2A and 2B illustrate two sinusoidal signals of equal power with phase differences of 0° and 180° being received at a mobile device in accordance with an embodiment of the present invention;

255 FIGURES 3A and 3B illustrate two sinusoidal signals of unequal power with phase differences of 0° and 180° being received at a mobile device in accordance with an embodiment of the present invention;

FIGURES 4A and 4B illustrate two sinusoidal signals of unequal power with phase differences of 45° and 160° being received at a mobile device in accordance 260 with an embodiment of the present invention;

FIGURE 5 illustrates a plot of the power gain of the combined signals, i.e. the beamforming gain, versus the phase difference of two signals at a receiver in accordance with an embodiment of the present invention;

FIGURE 6 illustrates a perspective view of a distributed data 265 communications system in accordance with an embodiment of the present invention;

FIGURE 7 illustrates a block diagram view of a base station in accordance with an embodiment of the present invention;

FIGURE 8 illustrates a block diagram view of a server computer in 270 accordance with an embodiment of the present invention;

FIGURE 9 illustrates a block diagram of a mobile station in accordance with an embodiment of the present invention;

FIGURE 10 illustrates a mobile station receiving interference from an adjacent sector in accordance with an embodiment of the present invention;

275 FIGURE 1 1 illustrates coordinating scheduling of four-level quantized beams in accordance with an embodiment of the present invention;

FIGURE 12 illustrates a table mapping a binary value to a quantized phase difference in accordance with an embodiment of the present invention;

FIGURE 13 illustrates a plot of the beamforming gain versus the phase 280 difference of two signals with OdB branch imbalance at a receiver corresponding to quantized phase difference zones in accordance with an embodiment of the present invention;

FIGURE 14 illustrates a table showing the average gain of the combined signals in FIG. 13 relative to the signal transmitted from one of the antennas for 285 each of the quantized phase zones in accordance with an embodiment of the present invention;

FIGURE 15 illustrates a plot of the beamforming gain versus the phase difference of two signals with 3dB branch imbalance at a receiver corresponding to quantized phase difference zones in accordance with an embodiment of the 290 present invention;

FIGURE 16 illustrates a table showing the average gain of the combined signals in FIG. 15 relative to the signal transmitted from one of the antennas for each of the quantized phase zones in accordance with an embodiment of the present invention;

295 FIGURE 17 illustrates a plot of the beamforming gain versus the phase difference of two signals with 10dB branch imbalance at a receiver corresponding to quantized phase difference zones in accordance with an embodiment of the present invention;

FIGURE 18 illustrates a table showing the average gain of the combined 300 signals in FIG. 17 relative to the signal transmitted from one of the antennas for each of the quantized phase zones in accordance with an embodiment of the present invention;

FIGURE 19 illustrates a mobile station receiving an intended signal from a first base station and receiving interference from adjacent sectors with varying 305 phase adjustments in accordance with an embodiment of the present invention;

FIGURE 20 illustrates a phase adjustment map in accordance with an embodiment of the present invention;

FIGURE 21 illustrates the frequency resources used at a base station in accordance with an embodiment of the present invention;

310 FIGURE 22 illustrates a CPE phase management table at base station A with various mobile station transmissions and interference data in accordance with an embodiment of the present invention;

FIGURE 23 illustrates a flow diagram depicting processes for scheduling transmissions at a base station in accordance with an embodiment of the present 315 invention;

FIGURE 24 illustrates a flow diagram depicting processes for scheduling transmissions at a base station in accordance with an embodiment of the present invention;

FIGURE 25 illustrates an empty transmission schedule at a base station A in 320 accordance with an embodiment of the present invention;

FIGURE 26 illustrates a transmission schedule after addressing first-priority interference from base station B in accordance with an embodiment of the present invention;

FIGURE 27 illustrates a transmission schedule after addressing first-priority 325 interference from base station C in accordance with an embodiment of the present invention;

FIGURE 28 illustrates a transmission schedule after addressing first-priority interference from base station D in accordance with an embodiment of the present invention

330 FIGURE 29 illustrates a transmission schedule after addressing second- priority interference from base station B in accordance with an embodiment of the present invention;

FIGURE 30 illustrates a transmission schedule after addressing second- priority interference from base station D in accordance with an embodiment of 335 the present invention;

FIGURE 31 illustrates a transmission schedule after addressing third-priority interference in accordance with an embodiment of the present invention;

FIGURE 32 illustrates a transmission schedule after addressing fourth- priority interference in accordance with an embodiment of the present invention; 340 FIGURE 33 illustrates a flow diagram depicting processes for scheduling transmissions at a base station in accordance with an embodiment of the present invention; and

FIGURE 34 illustrates a flow diagram depicting processes for scheduling transmissions at a base station in accordance with an embodiment of the present 345 invention.

MODES FOR CARRYING OUT THE INVENTION

This disclosure provides a scheme for reducing the levels of interference in a cellular wireless system by coordinating the transmissions from each base station in the system so that the level of interference at the subscriber devices is reduced.

350 In accordance with an exemplary embodiment of the present invention, FIG.

6 illustrates a networked computing system 600 including various wireline and wireless computing devices that may be utilized to implement any of the scheduling coordination processes associated with various embodiments of the present invention. The networked computing system 600 may include, but is not limited to,

355 a group of remote base station devices 606a-c, any one of which may be associated with a macrocell, a microcell, or a picocell base station that may each be a neighboring base station to one or more short-range base station devices 612 (e.g., a femtocell or a picocell device) within a particular region of the networked computing system 600; a data communications network 602, including both Wide

360 Area Network (WAN) and Local Area Network (LAN) portions; a variety of wireless user equipment, including: cellular phone or PDA devices 608a-c, 622, a laptop or netbook computer 624, an electronic book device 626, along with any other common portable wireless computing devices well known in the art (e.g., handheld gaming units, personal music players, video recorders, etc.) that are capable of 365 communicating with the data communications network 602 utilizing one or more of the remote base stations 606a-c, the short-range base station device 612, or any other common wireless or wireline network communications technology; one or more network gateways or switch devices 610 that can facilitate data communications processes within the LAN and between the LAN and the WAN of 370 the data communications network 602; a television device 616 (e.g., a high definition LCD or Plasma television) that is optionally connected to a multi-media device 614 (e.g., a set-top box, digital video recorder (DVR), or Blu-Ray™ player device); and a desktop computer 620 optionally connected to an external hard- drive device 618.

375 In an embodiment, the remote base stations devices 606a-c may represent individual base stations with a single antenna, individual base stations with an antenna array configured for transmitting beamformed transmissions, or a base station consisting of multiple sectors, each with a multi-antenna array. Further, the remote base station devices 606a-c may represent base station 102 of FIG. 1 .

380 In an embodiment, the remote base station devices 606a-c, the short-range base station device 612 (e.g., a femtocell or a picocell device), or any of the user equipment (608a-c, 614, 616, 618, 620, 622, 624, or 626), may be configured to run any well-known operating system, including, but not limited to: Microsoft® Windows®, Mac OS®, Google® Chrome®, Linux®, Unix®, or any well-known

385 mobile operating system, including Symbian®, Palm®, Windows Mobile®, Google® Android®, Mobile Linux®, MXI®, etc. In an embodiment, any of the remote base stations 606a-c may employ any number of common server, desktop, laptop, and personal computing devices.

In an embodiment, the user equipment (608a-c, 622, 624, or 626) may

390 include any combination of common mobile computing devices (e.g., laptop computers, netbook computers, cellular phones, PDAs, handheld gaming units, electronic book devices, personal music players, MiFi™ devices, video recorders, etc.), having wireless communications capabilities employing any common wireless data commutations technology, including, but not limited to: GSM™, UMTS™,

395 LTE™, LTE Advanced™, Wi-Max™, Wi-Fi™, etc. Further, the user equipment (608a-c, 614, 616, 618, 620, 622, 624, or 626) may represent the receiver 108 of FIG. 1 .

In an embodiment, either of the LAN or the WAN portions of the data communications network 602 of FIG. 6 may employ, but are not limited to, any of

400 the following common communications technologies: optical fiber, coaxial cable, twisted pair cable, Ethernet cable, and powerline cable, along with any wireless communication technology known in the art. In an embodiment, any of the remote wireless base station 606a-c, the wireless user equipment (608a-c, 622, 624, or 626), as well as any of the other LAN connected computing devices (610, 614, 616,

405 618, or 620) may include any standard computing software and hardware necessary for processing, storing, and communicating data amongst each other within the networked computing system 600. The computing hardware realized by any of the network computing system 600 devices (606a-c, 608a-c, 610, 612, 614, 616, 620, 622, 624, or 626) may include, but is not limited to: one or more

410 processors, volatile and non-volatile memories, user interfaces, transcoders, and wireline and/or wireless communications transceivers, etc.

Further, any of the networked computing system 600 devices (606a-c, 608a- c, 610, 612, 614, 616, 620, 622, 624, or 626) may be configured to include one or more computer-readable media (e.g., any common volatile or non-volatile memory

415 type) encoded with a set of computer readable instructions, which when executed, performs a portion of any of the short-range wireless communications optimization processes associated with various embodiments of the present invention.

FIG. 7 illustrates a block diagram view of a base station device 700 (e.g., a femtocell, picocell, microcell or macrocell device) that may be representative of the

420 base stations 606a-c and 612 in FIG. 6. In accordance with an embodiment of the present invention, the base station device 700 may include, but is not limited to, a baseband processing circuit including at least one central processing unit (CPU) 702. In an embodiment, the CPU 702 may include an arithmetic logic unit (ALU, not shown) that performs arithmetic and logical operations and one or more control

425 units (CUs, not shown) that extract instructions and stored content from memory and then executes and/or processes them, calling on the ALU when necessary during program execution. The CPU 702 is responsible for executing all computer programs stored on the base station device's 700 volatile (RAM) and nonvolatile (ROM) system memories, 704 and 726. 430 The base station device 700 may also include, but is not limited to, a radio frequency (RF) circuit for transmitting and receiving data to and from the network. The RF circuit may include, but is not limited to, a transmit path including a digital- to-analog converter 710 for converting digital signals from the system bus 720 into analog signals to be transmitted, an upconverter 708 for setting the frequency of

435 the analog signal, and a transmit amplifier 706 for amplifying analog signals to be sent to the antenna 712 and transmitted as beamformed signals. Further, the RF circuit may also include, but is not limited to, a receive path including the receive amplifier 714 for amplifying any individual or beamformed signals received by the antenna 712, a downconverter 716 for reducing the frequency of the received

440 signals, and an analog-to-digital converter 718 for outputting the received signals onto the system bus 720. The system bus 720 facilitates data communication amongst all the hardware resources of the base station device 700. Note that there may be any number of transmit/receive paths 730, 732, and 734 comprising multiple digital-to-analog converters, upconverters, and transmit amplifiers as well

445 as multiple analog-to-digital converters, downconverters, and receive amplifiers in order to transmit and receive as a beamforming base station. Additionally, note that antenna 712 may include multiple physical antennas for transmitting beamformed communications.

Further, the base station device 700 may also include, but is not limited to, a

450 user interface 722; operations and maintenance interface 724; memory 726 storing application and protocol processing software; and a network interface circuit 728 facilitating communication across the LAN and/or WAN portions of the data communications network 602 (i.e., a backhaul network).

In accordance with an embodiment of the present invention, the base station

455 700 may use any modulation/encoding scheme known in the art such as Binary Phase Shift Keying (BPSK, having 1 bit/symbol), Quadrature Phase Shift Keying (QPSK, having 2 bits/symbol), and Quadrature Amplitude Modulation (e.g., 16- QAM, 64-QAM, etc., having 4 bits/symbol, 6 bits/symbol, etc.). Additionally, the base station 700 may be configured to communicate with the subscriber devices

460 (e.g., 608a-c, 622, 624, and 626) via any Cellular Data Communications Protocol, including any common GSM, UMTS, WiMAX or LTE protocol.

FIG. 8 illustrates a block diagram view of a server computer 800 that may be representative of any of the remote service provider devices 606a-c or the base station 612 in FIG. 6, the base station 700 in FIG. 7, or any other common network

465 device known in the art such as a router, gateway, or switch device. The server computer 800 may include, but is not limited to, one or more processor devices including a central processing unit (CPU) 804. In an embodiment, the CPU 804 may include an arithmetic logic unit (ALU, not shown) that performs arithmetic and logical operations and one or more control units (CUs, not shown) that extracts

470 instructions and stored content from memory and then executes and/or processes them, calling on the ALU when necessary during program execution. The CPU 804 is responsible for executing all computer programs stored on the server computer's 800 volatile (RAM), nonvolatile (ROM), and long-term storage system memories, 802 and 810.

475 The server computer 800 may also include, but is not limited to, an optional user interface 818 that allows a server administrator to interact with the server computer's 800 software and hardware resources and to display the performance and operation of the networked computing system 600; a software/database repository 810 including: a phase adjustment map 812 (e.g., statically or

480 dynamically created phase adjustment map 2000 in FIG. 20) that may include a listing of adjacent wireless base stations and their instantaneous transmission phase adjustments; scheduling unit 814 for generating a CPE phase management table (e.g., CPE phase management table 2200 for multiple base stations) for transmitting data to mobile stations associated with the server computer or base

485 station; a beamforming unit 816 for generating the beamformed signals for transmission to a particular mobile device; and a priority fixing unit 818 for determining a priority level for interference associated with an adjacent interfering base station. Note that the base station 700 may include the components in the software/database repository 810 for implementing the systems and methods in

490 accordance with the present invention.

Further, the server computer 800 may also include a modem 808 for formatting data communications prior to transfer; a transceiver 806 for transmitting and receiving beamformed network communications amongst various network base stations, user equipment, and computing devices utilizing the data

495 communication network 602 of the networked computing system 600; and a system bus 820 that facilitates data communications amongst all the hardware resources of the server computer 800.

FIG. 9 illustrates a block diagram of a mobile station 900 that may be representative of any of the subscriber devices (e.g., 608a-c, 622, 624, and 626)

500 shown in FIG. 6. The mobile station 900 may include, but is not limited to, components similar to those described above in relation to the base station 700. Thus, mobile station 900 may include a baseband processing circuit 902 corresponding to the baseband processing circuit in FIG. 7, a RF Circuit 904 corresponding to the RF circuit in FIG. 7, a memory 906 corresponding to the

505 memory 726, a system bus 908 corresponding to system bus 720, a user interface 910 corresponding to user interface 722, an operations and maintenance interface 912 corresponding to the operations and maintenance interface 724, and a phase difference measurement unit 914.

In one embodiment, the phase difference measurement unit 914 measures

510 the phase difference between incoming beamformed signals from each base station. For example, the phase difference measurement unit 914 will determine a phase difference measurement for the signals from the intended base station, as well as determining a phase difference measurement for signals received from adjacent base station sectors received as interference. This measurement is

515 required at the mobile station 900 because the phase difference between the signals will vary as the signals may travel by different paths and arrive at the mobile station 900 with a shifted phase difference. Further, the phase difference measurement unit may measure and record the signal characteristics of the intended signals and interfering signals, including power levels, interference levels

520 (e.g., a signal-to-interference-plus-noise (SINR) level or a carrier-to-interference- plus-noise (CINR) level), or other characteristics.

FIGS. 10-12 introduce the concept of a quantized phase adjustment, as well as an optimum phase adjustment to reduce interference and to increase desired signal strength in accordance with an embodiment of the present invention. As

525 described in more detail below, a mobile device/CPE (e.g., 108, 608a-c, 622, 624, 626, 900, MS1 and MS2) measures the phase difference (e.g., via phase difference measurement unit 914) between the two signals that it receives from each of the base station transmitters and transmits back the measurements to its serving base station. This measurement is quantized to one of four values by

530 rounding the measured difference to the nearest 90 degrees. For example, if the measured difference is 244°, then the nearest 90° step is 270°.

FIG. 10 illustrates a wireless system 1000 with a mobile station MS1 receiving interference 1004 from an adjacent sector in accordance with an embodiment of the present invention. In the wireless system 1000, the mobile

535 station MS1 is in communication with base station BS1 via beamformed transmission 1002. In one embodiment, mobile station MS1 may be representative of mobile station 900, and base station BS1 and BS2 may be representative of base station 700. While the base station BS1 is in communication with the mobile station MS1 , the best signal from BS1 is achieved when BS1 transmits to MS1 with

540 a quantized phase adjustment of 0° (i.e., the signals arriving at MS1 from each of the BS1 transmits antennas combine to provide the strongest signal when no adjustment is made to the relative phases of the signals emitted from BS1 ). An example of the constructive interference at the receiving mobile station is seen as the combined signals in plots 202 and 302.

545 As the mobile station MS1 receives the intended signal from base station

BS1 , the mobile station MS1 also receives interference from the adjacent base station BS2. In this case, the signal that MS1 receives from BS2 can be attenuated the most when BS2 transmits with a quantized phase adjustment of 270°. In other words, the best CINR or SINR at MS1 is achieved when BS1 is transmitting to MS1

550 with a phase adjustment of 0° and BS2 is transmitting to a different mobile station in its coverage area with a phase adjustment of 270°.

FIG. 1 1 illustrates a wireless system 1 100 similar to the wireless system 1000 in FIG. 10 with the addition of an additional mobile station MS2. Further, FIG. 1 1 introduces the concept of coordinating scheduling of four-level quantized

555 beams. In this case, the phase difference is quantized into four discrete regions, corresponding to a phase difference of 0°, 90°, 180°, and 270°. This quantization reduces the amount of feedback required from a mobile station to a base station when communicating phase difference information. The quantization also reduces computational overhead, while still providing exceptional control over the levels of

560 constructive or deconstructive interference. This four-level quantization is explained further with reference to FIGS. 12-18. Focusing on wireless system 1 100, FIG. 1 1 shows BS2 transmitting to a mobile station in its coverage area, MS2. Note that in this case, the optimal combining of the signals arriving at MS2 from BS2 occurs when BS2 adjusts the

565 relative phases of its transmissions by 180°. However, adequate performance at MS2 is still achieved if BS2 uses a phase adjustment of 90° or 270°. In this case, BS2 transmits to MS2 with a phase adjustment of 270°, while at the same time BS1 transmits to MS1 with a phase adjustment of 0°. The combined signal at MS2 is slightly degraded compared to the combining that could be achieved with a

570 phase adjustment of 180°. However, the use of a phase adjustment of 270° instead of 180° improves the CINR at MS1 by a far greater amount than the loss in CINR at MS2. Thus, this optimization considers the efficiency gained at each mobile station MS1 and MS2 while considering the overall system efficiency for best efficiency gains.

575 Next, FIGS. 12-18 describe the four-level quantization of the phase difference and the effect on signal strength at a receiver. An exemplary system implementing this coordination scheme is disclosed. In the exemplary system (e.g., wireless beamforming system 100 and networked computing system 600), the relative phases of the signals (e.g., 104 and 106) transmitted by a base station

580 (e.g., 102, 606a-c, 612, and 700) are adjusted in 90° steps. The mobile device/CPE (e.g., 108, 608a-c, 622, 624, 626, 900, MS1 and MS2) measures the phase difference (e.g., via phase difference measurement unit 914) between the two signals that it receives from each of the base station transmitters and transmits back the measurements to its serving base station. This measurement is

585 quantized to one of four values by rounding the measured difference to the nearest 90 degrees. For example, if the measured difference is 244°, then the nearest 90° step is 270°.

The quantization to two bits may be performed at the mobile device and the quantized phase difference can be represented in a signaling message as two 590 binary bits. For example, the following mapping between the two-bit message and the phase difference can be applied as seen in FIG. 12.

Quantizing the phase difference to one of four values has the advantage that the messaging overhead to signal the difference to a base station is reduced when compared to quantization to a larger number of values (e.g., it would require 595 nine binary bits to signal a phase difference quantized to 1 degree steps). This aspect helps promote the goals of efficiency while not being computationally burdensome for scheduling.

When the base station (e.g., 102, 606a-c, 612, and 700) or server computer 800 receives the quantized phase difference, it can adjust the phase on one of the

600 transmitters (e.g., in one of the transmitting antennas in a beamforming antenna array) so that the phase difference of the beamformed signals arriving at the mobile station fall into one of the zones shown in FIG. 13.

FIG. 13 illustrates a plot 1300 of the beamforming gain versus the phase difference of two signals with OdB branch imbalance at a receiver corresponding to

605 quantized phase difference zones in accordance with an embodiment of the present invention. If the base station adjusts the phases so that the phase difference of the signals arriving at the user equipment falls into the 0° zone then the signals combine to provide the largest increase in signal strength at the receiver. If the base station adjusts the phases so that the phase difference of the

610 signals arriving at the user equipment falls into the 180° zone then the signals combine to provide the most reduction in signal strength at the receiver. If the signals are aligned so that the phase difference falls into the 90° or 270° zones then the combined signal may either have a gain or slight reduction in gain when compared to one of the originally transmitted signals.

615 FIG. 14 illustrates a table 1400 showing the average gain of the combined signals in FIG. 13 relative to the signal transmitted from one of the antennas for each of the quantized phase zones in accordance with an embodiment of the present invention. On average, the strongest signal strength is achieved if the phases are adjusted so that the phase difference at the receiver falls into the 0°

620 zone. If the phase difference is adjusted so that it falls in either the 90° or 270° zones then on average the combined signal strength is 3dB lower than the average signal strength achieved in the 0° zone. If the phase difference is adjusted such that it falls in the 180° zone then on average the combined signal is attenuated by 14dB relative to the signal in the 0° zone.

625 FIG. 15 illustrates a plot 1500 of the beamforming gain versus the phase difference of two signals with 3dB branch imbalance at a receiver corresponding to quantized phase difference zones in accordance with an embodiment of the present invention. In this plot 1500, the beamforming gain is relative to the stronger of the two received signals.

630 FIG. 16 illustrates a table 1600 showing the average gain of the combined signals in FIG. 15, relative to the stronger of the two received signals, for each of the quantized phase zones in accordance with an embodiment of the present invention. Phase differences in the 0°, 90° and 270° zones show the best average signals strengths, while phase differences falling in the 180° zone shows the best

635 average combined signal attenuation.

FIG. 17 illustrates a plot 1700 of the beamforming gain versus the phase difference of two signals with 10dB branch imbalance at a receiver corresponding to quantized phase difference zones in accordance with an embodiment of the present invention. As in the case of FIG. 15, the beamforming gain is relative to

640 the stronger of the two received signals. Note that in this case the gain in the 0° zone is less than that shown in FIG. 13 and FIG. 15. Additionally, the attenuation in the 180° zone is less than that achieved when the relative signal strengths is the signals from both of the transmit antennas are close together at the receiver.

FIG. 18 illustrates a table 1800 showing the average gain of the combined

645 signals in FIG. 17, relative to the stronger of the two received signals, for each of the quantized phase zones in accordance with an embodiment of the present invention. As before, phase differences in the 0°, 90° and 270° zones show the best average signals strengths, while phase differences falling in the 180° zone shows the best average attenuation for the combined signal.

650 Next, FIG. 19 illustrates a mobile station receiving an intended signal from a first base station and receiving interference from adjacent sectors with varying phase adjustments in accordance with an embodiment of the present invention. As will become apparent when viewing FIG. 19 in conjunction with the phase adjustment map of FIG. 20, the base station BS A in communication with the

655 mobile station MS1 is transmitting a beamformed transmission signal 1902 with a phase adjustment of 0 degrees. At the same time and utilizing the same wireless resources (e.g., frequency, channels, timeslots, etc.) adjacent base station BS B is transmitting a beamformed signal 1904 with a phase adjustment of 90 degrees. The beamformed transmission signal 1904 is received at MS 1 as interference

660 rather than as a communication. Further, base station BS C is transmitting a beamformed signal 1906 with a phase adjustment of 180 degrees, and base station BS D is transmitting a beamformed signal 1908 with a phase adjustment of 270 degrees. Signals 1906 and 1908 are also received as interference at MS 1 . Referring to FIGS. 19, 20, and 21 , the transmission snapshot in FIG. 19

665 corresponds to the phase adjustments used by base stations A, B, C, and D as scheduled in column 1 , timeslot 1 of FIG. 20 of tables 2002, 2004, 2006, and 2008.

FIGS. 20-34 illustrate an example of how data transmissions among multiple base stations (e.g., base stations BS A, BS B, BS C, and BS D in FIG. 19) can be scheduled such that the interference to adjacent base station sectors is reduced,

670 by coordinating the adjustment of relative phases of the transmitted signals at each base station. The below example assumes two transmitters at each base station site (e.g., similar to the two-transmitter beamforming antenna array 102 in FIG. 1 ) and assumes that the relative phases of the transmitted signals are adjusted in 90° steps (i.e., the phase differences are quantized in the four-level quantization

675 scheme shown in FIG. 12).

FIG. 20 illustrates a phase adjustment map in accordance with an embodiment of the present invention. In this example, there are four base stations in a cluster: base stations A, B, C, and D, similar to the topology shown in FIG. 19, although it may be apparent that the systems and methods described herein may

680 be applicable to any number of base station, servers, or mobile devices.

Further, in this example there are ten mobile stations in communication with base station A, with CPE IDS 1 -10 (e.g., see CPE IDS 1 -10 in FIG. 22). This example also assumes that each CPE/mobile station can measure the phase difference between the signals arriving from its serving base station and the phase

685 differences of the phases of signals arriving from interfering base stations. The phase difference can be measured via pilot reference signals or other methods known in the art, or via a phase difference measurement unit similar to the phase difference measurement unit 914 in FIG. 9. This example also assumes that the mobile station/CPE reports this information back to the serving base station and/or

690 to a server computer for centralized scheduling. Note that in Time Division Duplexing (TDD) systems, it may possible for the base station to exploit the reciprocity of the channel to determine the phase difference between the signals arriving at a CPE being served by the base station without explicit feedback from the CPE. However, the CPE will still need to measure the phase differences 695 between the signals arriving from the interfering base stations and their levels and report those phase differences and levels back to the serving base station and/or server computer.

In regards to FIGS. 20 and 21 , this example assumes further that an airlink framing structure has been defined, consisting of multiple timeslots, with each

700 timeslot containing multiple frequency slots. Many OFDM airlink structure are like this (e.g., LTE or AMC permutation mode in WiMAX). In an embodiment, these systems and methods for coordinating scheduling of beamformed data may be applied to any wireless technology, including, but not limited to: GSM™, UMTS™, LTE™, LTE Advanced™, Wi-Max™, Wi-Fi™, etc.

705 Consistent with an OFDM structure, in the present example the wireless resources are structured such that there are thirty-two frequency slots in a timeslot and that a data burst can be sent in each time/frequency slot (e.g., 32 data bursts can be sent in a single timeslot - potentially one to each of up to 32 mobile stations/CPE). A framing structure is also applied, where a frame consists of eight

710 timeslots.

Returning to FIG. 20, these tables illustrate a phase adjustment map 2000 in accordance with an embodiment of the present invention. In this example, the four base stations A, B, C, and D are assigned a fixed phase transmission pattern in timeslots 0-3. The 32 frequency slots in a time slot are divided into eight groups of

715 four each (i.e., there are 8 frequency slots per group). Each group of frequency slots is allocated a fixed phase adjustment value. This frequency structure is shown in FIG. 21 as table 2100, illustrating the frequency resources used for a base station. FIG. 21 shows the eight timeslots used to allocate resources for the beamformed scheduling. Further, the 32 frequency resources are divided equally

720 into four groups, shown as columns 2102, 2104, 2106, and 2108. Thus, in FIG. 21 it is clear that Timeslot #1 corresponding to the Phase Adjustment #2 refers to the group of frequencies (i.e., channels) numbered 8-15. Applying this frequency table to the phase adjustment map in FIG. 20, it can be seen that, for example, base station B is transmitting at a phase adjustment of 180 degrees in Timeslot #1 for

725 channels 8-15. At the same time, base station A is transmitting at a phase adjustment of 90 degrees for the identical timeslot/channel combination. In FIG. 20, for timeslots 4-7, any phase may be transmitted in any frequency slot. These slots are used when the coordinating scheduling cannot be completed in the first four timeslots and for transmissions which are not interference limited.

730 Thus, timeslots 4-7 may be considered to be "all purpose" timeslots for transmissions where interference is not an issue and for when guaranteed phase differences are not required. Applying this flexibility to FIG. 21 , the frequencies and/or phase adjustment regions listed for timeslots 4-7 need not be identical to the frequencies and/or phase adjustment regions listed for timeslots 0-3.

735 The assignment of phase adjustments to frequency and time slots in a phase adjustment map 2000 can be done in a variety of ways. For ease of explanation, the phase adjustment map is shown using a fixed assignment in FIG. 20. In a fixed assignment, phase differences are allocated beforehand, using a reuse pattern, similar to the frequency reuse patterns commonly employed in

740 cellular wireless systems. In a separate embodiment, the phase adjustment map may be dynamically determined based on the phase difference measurements made by the mobile station. These measurements can be shared among the base stations, which can then agree upon an appropriate phase adjustment map, or can be sent to a central processing server that then determines an appropriate phase

745 adjustment map for each base station and sends the maps to the base stations. In a dynamic determination of the phase adjustment maps, the update rate of the phase adjustment maps may be as quick every one to five airlink frames, or may be relatively slow, on the order of one update every several seconds. In a further embodiment, the phase adjustment may be determined based on historical data or

750 instantaneous factors such as demand or interference levels.

Again note that it may not be necessary to attempt to reduce interference at all mobile stations/CPE in the coverage area of a base station. Many mobile stations/CPE will have good CINR to begin with, so they will not need special handling. In this example, data to such mobile stations/CPE can be transmitted in

755 the "all purpose" timeslots 4-7, or in timeslots 0-3 if the schedule can accommodate the additional mobile stations.

FIG. 22 illustrates a CPE phase management table 2200 at base station A with various mobile station transmission and interference data in accordance with an embodiment of the present invention. For this example, Base Station A (BTS A) 760 has 10 mobile stations/CPE to which it will transmit data. The number of blocks of data and the optimal phase adjustment angle to be used by BTS A to transmit to the CPEs is shown in table 2200. Additionally, the best phase adjustment angles that the base stations causing interference with each of the CPEs should use to minimize the interference levels is also shown in the table. Looking at the data

765 related to CPE #1 in table 2200, the CPE #1 receives the strongest signal from base station A when base station A is transmitting at a 0 degree phase difference. Further, CPE #1 receives the least interference from base station B when base station B is transmitting to its associated CPE on the same wireless resources at a phase adjustment of 180 degrees.

770 The entries in the CPE phase management table 2200 in the interfering BTS phase adjustment cells have two numbers. The top number is the phase adjustment in degrees that results in the lowest levels of interference at the mobile station. The bottom number is a priority that is assigned to each of the interferers, indicating the relative priority of reducing the interference levels. Continuing with

775 the reference to CPE #1 , the phase adjustment that results in the lowest level of interference at the mobile station CPE #1 is 180 degrees, as mentioned above. Further, for CPE #1 it is the first priority to reduce the interference from base station B. In this scheduling algorithm, the priority ranking is 1 to 4, with 1 being the highest priority. Note that as would be apparent to a person of ordinary skill in

780 the art, the number of priority levels could be greater than or less than four. The priority can be assigned in a variety of ways, such as placing the highest priority on reducing interference from the strongest interferers seen by CPEs with the lowest CINR, or on base stations causing the greatest levels of interference to a CPE, or using some other prioritization scheme. By way of example, in FIG. 19 reducing

785 the interference from base station B may have been the highest priority because the signal strength from base station B would be the highest relative to the other adjacent interfering base stations (i.e., because of the relative distances from the base stations to the mobile station MS 1 ).

Next, the coordinated scheduling algorithm will be described generally by

790 way of example in relation to flow diagrams in FIGS. 23 and 24, followed by a specific scheduling example in FIGS. 25-32.

FIG. 23 illustrates a flow diagram 2300 depicting processes for scheduling transmissions at a base station in accordance with an embodiment of the present invention. It should be understood that this process could be executed using one

795 or more computer-executable programs stored on one or more computer-readable media located on any one of the base station devices (e.g., 606a-c, 612, 700, and BS 1 and BS 2 of FIGS. 10 and 1 1 ) or in the server computer 800 in FIG. 8. In block 2302 and 2304, the process begins with scheduling the transmissions at base station A in an empty schedule. Next, in block 2306, the process initializes

800 the priority level YY=1 . Starting at the first priority level attempts to reduce the worst interference before scheduling around less important (i.e., lower priority) interfering transmissions. Next, at block 2308, the process initializes the interfering bases station XX= B, where the interfering base station is selected from the group consisting of base stations B, C, and D. Again, note that process 2300 may be

805 adaptable to any number of base station, mobile devices, and priority levels. Next, at block 2310, the process addresses priority YY radio frequency interference from interfering base station XX. In accordance with the initialized values, the algorithm address the first priority interference from base station B.

At block 2312, the process checks to see whether interference from each

810 base station at that particular priority level has been addressed. If not, the process moves to step 2314, where the algorithm addresses interference from the next base station in the group (e.g., moves to addressing interference for base station C after addressing interference from base station B in step 2310, thereby updating the XX variable). When the interference from each base station has been

815 addressed at the particular priority level (e.g., YES in step 2312), the process moves to step 2316 to check whether all priority levels have been addressed. If NO, the process moves to step 2318 where the priority level is incremented (i.e., YY is incremented), and the process returns to block 2310 to address interference for the adjacent base stations. Thus, the process 2300 cycles through the outer

820 loop (addressing interference for each priority level) and the inner loop at each priority level (addressing interference for each base station at a particular priority level).

FIG. 24 illustrates a flow diagram 2400 depicting processes for scheduling transmissions at a base station in accordance with an embodiment of the present 825 invention. This flow diagram may be used alone or in conjunction with FIG. 23 to illustrate the scheduling process. Again, it should be understood that this process could be executed using one or more computer-executable programs stored on one or more computer-readable media located on any one of the base station devices (e.g., 606a-c, 612, 700, and BS 1 and BS 2 of FIGS. 10 and 1 1 ) or in the

830 server computer 800 in FIG. 8. The scheduling process 2400 begins at block 2402 by determining the phase adjustments for best and next-best signal transmissions from base station A to each CPE served by base station A. This information is portrayed as the column entitled "phase adjustment for best signal level" in FIG. 22. Next, at block 2404, the process determines an optimal phase adjustment to

835 reduce interference levels from each interfering base station to each of the CPEs served by base station A. Next, at block 2406, the process determines a priority level for interference reduction from each interfering base station for each CPE served by base station A. This information determined in blocks 2404 and 2406 is portrayed as the column entitled Optimal Phase Adjustment (in degrees) to reduce

840 interference level and priority for interference reduction" in FIG. 22.

In block 2408 the process starts at the highest priority level and chooses a CPE ID for which to schedule transmissions. For the CPE chosen in block 2408, the process determines the number of blocks to transmit at base station A to the CPE in block 2410. This information is portrayed as the column entitled "# Blocks

845 to transmit" in FIG. 22.

Next, in block 2412, the process determines available wireless resources in the phase adjustment map for base station A where base station A is transmitting at the phase adjustments for best and next-best signal levels for the chosen CPE. The available wireless resources meeting this requirement may be denoted as "Set

850 1 ." By way of example, if the process was performing the actions in step 2412 for CPE #1 in FIG. 22, the process would look for the timeslots in table 2002 that correspond to the phase adjustment of 0 degrees (for best signal levels) and for the timeslots in table 2002 that correspond to the phase adjustments of 90 degrees and 270 degrees (next-best signal levels). This Set 1 consists of the first, second

855 and fourth columns in table 2002.

Next, at block 2414, the process determines a second set of wireless resources corresponding to wireless resources in the phase adjustment map for the base station with highest priority level for interference reduction where the interfering base station is transmitting at the optimal phase adjustment angle for 860 lowest interference signals level for the chosen CPE. By way of example, the base station with the highest priority level for interference reduction for CPE #1 is base station B, as seen in FIG. 22. FIG. 22 also states that the optimal phase adjustment for the transmissions for base station B is 180 degrees. Looking at the phase adjustment map for base station B, i.e., table 2004, the wireless resources 865 that satisfy these requirements can be found: column 1 , timeslot 2; column 2, timeslot 1 ; column 3, timeslot 0; and column 4, timeslot 3. As mentioned above, this is Set 2.

In block 2416, the process schedules transmissions at base station A for the chosen CPE ID within the wireless resources overlapping in Set 1 and Set 2,

870 starting with the overlapping wireless resources in Set 1 that provide the best signal level and proceeding with the overlapping wireless resources in Set 1 in order of the signal levels they provide to the CPE. In regards to the Set 1 and Set 2 in the example above, the best wireless resource for base station A would be column 1 , timeslot 2, when base station A is transmitting with a phase adjustment

875 of 0 degrees. The corresponding wireless resource in base station B is column 1 , timeslot 2, when base station B is transmitting at a phase adjustment of 180 degrees. Thus, by choosing this resource, the transmissions for CPE #1 are scheduled to be transmitted at the most advantageous conditions for maximum signal reception from base station A, while being transmitted in the same wireless

880 resources where the interference from the base station causing the most interference is minimized. If there is not enough room in column 1 , timeslot 2, to contain all the transmissions to the chosen CPE ID then additional data to the CPE is scheduled in the wireless resources with the next-best signal levels for the chosen CPE (e.g., the resources in column 2, timeslot 1 , or column 4, timeslot 3 of

885 phase adjustment maps 2002 and 2004).

Next, at block 2418, the process continues to schedule the remaining data blocks for transmission. If there are any blocks that could not be scheduled in the wireless resources in the previous step, block 2418 either schedules the blocks in resources where the interfering phases are not guaranteed, using the phase

890 adjustment for best signal transmissions from base station A, or block 2418 places that blocks into a queue where they are retained for transmission in a future airlink frame. By way of example, if there were remaining data to be schedule for CPE #1 in the example above, the remaining blocks could be scheduled for transmission in timeslots 4-7 of base station A, or buffered for transmission in a subsequent airlink 895 frame. If transmitting in the resources where the interfering phases are not guaranteed, base station A would transmit to CPE #1 with a phase shift of 0 degrees, which corresponds to the "Phase Adjustment for Best Signal Level" of FIG. 22.

Finally, at block 2420 the scheduling process is repeated for remaining

900 CPEs in communication with base station A at the same priority level, then at lesser priority levels until all data blocks are scheduled to be transmitted or until schedule is full. Thus, the scheduling process schedules all priority-one interference for CPEs #2-10, and then repeats again at lesser priority levels until all the transmission are scheduled. Once a CPE has been scheduled at a particular

905 priority level, there is no need to schedule again at lesser priority levels.

Additionally, this process is scheduled at each base station (e.g., base stations B, C, and D) until all transmissions are scheduled.

By way of example, FIGS. 25-32 collectively schedule CPEs in the CPE phase management table shown in FIG. 22 for scheduling data for transmission

910 from base station A. Variants in the scheduling process can easily be derived that are considered to be within the scope of this invention.

Thus, FIG. 25 illustrates an empty transmission schedule at a base station A in accordance with an embodiment of the present invention. This is the start of the exemplary scheduling process, and may be referred to as step one.

915 Next, FIG. 26 illustrates a transmission schedule after addressing first- priority interference from base station B in accordance with an embodiment of the present invention, and may be referred to as step two. In FIGS. 26-32, the CPE and number of blocks to be transmitted are shown in the time slot and frequency map. The number of blocks to be transmitted to a CPE is shown in square

920 parentheses next to the CPE ID. The CPEs that are scheduled in each step are shown in a bold font.

In the second step of addressing first-priority interference from base station B, the optimal scheduling location for CPE #1 is timeslot #2 on the frequency resources that have a phase adjustment of zero degrees from base station A. This 925 optimal phase adjustment can be seen in FIG. 22, and the phase adjustment map for base station A is seen as table 2002. In timeslot #2, on those same frequency resources (i.e., resources where base station A is transmitting at a phase adjustment of zero degrees), base station B is guaranteed to transmit to CPEs in its coverage area with a phase adjustment of 180 degrees.

930 Note that only eight blocks of data can be transmitted in that timeslot with that phase adjustment because there are only 8 channels transmitting in this example at that phase adjustment during the particular timeslot, as seen in FIG. 21 . However, there are 14 blocks to be transmitted to CPE #1 . As a result, it is necessary to schedule the remaining six blocks of data to CPE #1 onto a different

935 set of time/frequency resources. Since the best gains are achieved by making sure that the transmissions to CPE #1 are scheduled for when base station B uses a phase adjustment of 180 degrees, the scheduling algorithm should choose time/frequency resources where base station B transmits with a 180 degree phase adjustment. The algorithm should also choose a phase adjustment from base

940 station A that is within +/- 90 degrees of the optimal phase adjustment from base station A. This second-best phase adjustment may correspond to the phase adjustment for next-best signal levels as mentioned in block 2412 of FIG. 24. In this case that means a phase adjustment of 90 degrees or 270 degrees (i.e., a +270 degree phase adjustment is equivalent to a -90 degree phase adjustment).

945 In this case the remaining six blocks are scheduled for timeslot 1 , on the frequency resources where base station A has a phase adjustment of 90 degrees and base station B has a phase adjustment of 180 degrees. The result of this scheduling can be seen in FIG. 26, where eight blocks of data to be transmitted to CPE #1 are scheduled in the first column in timeslot 2, and the remaining six blocks of data are

950 scheduled in the second column, timeslot 1 .

Similarly, the optimal scheduling location for CPE #5 is in timeslot #1 on the frequency resources with a phase adjustment of 180 degrees from base station A (e.g., see FIG. 21 , column entitled "Phase Adjustment for best signal level). Cross- referencing the phase adjustment maps in FIG. 20, it is determined that base

955 station B transmits with a phase adjustment of 270 degrees on this set of time/frequency resources. Since there are only 6 blocks to be transmitted to CPE #5, all of the blocks can be scheduled on these time/frequency resources. Again, the result of scheduling CPE #5 is seen in FIG. 26, where six blocks of data to be transmitted to CPE #1 are scheduled in the third column in timeslot 1 .

960 Next, the remaining CPE with first-priority interference from base station B, i.e., CPE #10, is scheduled by the scheduling algorithm. CPE #10 transmissions are scheduled for timeslot 0 in the frequency resources with a phase adjustment of 270 degrees from base station A. Base station B will transmit with a phase adjustment of 270 degrees on these resources, minimizing the level of interference

965 seen at this CPE. Since CPE #10 has ten blocks to transmit, eight of the blocks are scheduled for these time/frequency resources, and in this example the remaining blocks are scheduled for timeslot 3 on the frequency resources with a phase adjustment of 0 degrees from base station A and 270 degrees from base station B. The updated schedule is shown in FIG. 26.

970 Next, the scheduling algorithm addresses priority 1 interference from base station C. The results of this scheduling step are seen in FIG. 27, and may be referred to as step three. In addressing the first-priority interference from base station C, the transmissions for CPE #3 and CPE #8 are scheduled in a similar manner to the transmissions in step two. Eight of the twelve data blocks to be

975 transmitted to CPE #3 are scheduled for timeslot 2, phase adjustment of 90 degrees, which corresponds to a phase adjustment of 0 degrees at base station C (e.g., see phase adjustment maps 2002 and 2006). The remaining four data blocks for CPE #3 are scheduled on timeslot 0, again with a phase adjustment of 0 degrees at base station C, but a next-best phase adjustment of 0 degrees at base

980 station A.

The two blocks of data for CPE #8 are scheduled for their optimal time/frequency resources on timeslot 3, with a phase adjustment of 270 degrees from base station A and zero degrees from base station C. The updated schedule is shown in FIG. 27.

985 Next, the scheduling algorithm addresses priority 1 interference from base station D. FIG. 28 illustrates a transmission schedule after addressing first-priority interference from base station D in accordance with an embodiment of the present invention, and this step may be referred to as step four. Looking at the table 2200 in FIG. 22, it can be seen that only CPE #2 is receiving priority 1 interference from

990 base station D. All eight blocks for CPE #2 are scheduled for timeslot 1 with a phase adjustment of 0 degrees from base station A and 270 degrees for base station D.

After having addressed the first-priority interference for base station B, C, and D, the scheduling algorithm next schedules the priority 2 CPEs on base station

995 B. This scheduling is seen in FIG. 29, which illustrates a transmission schedule after addressing second-priority interference from base station B in accordance with an embodiment of the present invention. This step may be referred to as the fifth step. Eight blocks for CPE #7 are scheduled in the optimal position in timeslot #1 while the remaining two blocks are scheduled for timeslot 2 where the phase

1000 adjustment for base station B is still the optimal 0 degrees and the phase adjustment from base station A is suboptimal, but still within +/- 90 degrees of optimum, representing the next-best phase adjustment from the serving base station. The updated schedule is shown in FIG. 29.

In the sixth step, the scheduling algorithm would schedule the priority 2

1005 CPEs on base station C. However, there are no CPEs to be scheduled, so the algorithm moves to the next step (e.g., see FIG. 22).

In the seventh step, the algorithm addresses the priority 2 CPEs in relation to base station D. FIG. 30 illustrates the transmission schedule after addressing second-priority interference from base station D in accordance with an

1010 embodiment of the present invention. The optimal scheduling location for CPE #4 is on timeslot 1 on the frequency resources with a phase adjustment of 90 degrees from base station A and a phase adjustment of 0 degrees from base station D. Since there are already six blocks of data scheduled on those resources and there are only eight such resources available, only two of the blocks of data for CPE #4

1015 can be sent on those resources. The remaining four blocks are sent on timeslot 3 with a phase adjustment from base station A of 180 degrees (i.e. using the next- best phase adjustment) and a phase adjustment of zero degrees from base station D.

For step eight, there is only one priority 3 CPE to schedule. FIG. 31 1020 illustrates the transmission schedule after addressing third-priority interference in accordance with an embodiment of the present invention. In this example, the optimal location for transmissions to CPE #6 has a phase adjustment of 180 degrees from base station A, which corresponds to wireless resources in the third column of phase adjustment map 2002. In regards to the interference received by 1025 CPE #6, there are two priority three interference sources, the first being from base station B, while the second is from base station D (e.g., see FIG. 22). Looking at FIG. 22 it can be seen that the optimal phase adjustment to reduce interference from base station B and D is zero degrees. Cross-referencing the phase adjustment map 2002 with the phase adjustment maps 2004 and 2008 1030 (corresponding to base stations B and D), it can be determined there are two optimum slots in the transmission schedule. In this case, the algorithm can schedule the blocks for CPE #6 in timeslot 2, column 3, where the interference from base station B will be reduced, or on timeslot 3, column 3, where the interference from base station D will be reduced. In this case, it is assumed that 1035 the algorithm selects to schedule four resource blocks to be sent on timeslot 3 and two resource blocks sent on timeslot 2. The updated schedule after the eighth step is shown in FIG. 31

In the ninth step, there is one priority 4 CPE to schedule, i.e., CPE #9 (e.g., see FIG. 22). This CPE has the lowest priority level for scheduling. Since the best

1040 signal for this CPE is with a phase adjustment of 270 degrees from base station A, the algorithm schedules transmissions to this CPE in the available time/frequency resources with this phase adjustment. Thus, FIG. 32 illustrates a transmission schedule after addressing fourth-priority interference in accordance with an embodiment of the present invention.

1045 In the scheduling example above, the example shows how all the CPEs are scheduled. In some cases it may not be possible to match up all CPE transmissions with either a fully optimal set of phase adjustment from the serving and interfering base stations, or a next-best, sub-optimal set of phase adjustments (i.e., optimal for the interfering base station and +/-90 degrees from optimal for the

1050 serving base station). In those cases the CPE transmissions can be scheduled on timeslots 4-7, where no guarantees are made on the phase adjustments from any base stations. However, the serving base station may still use beamforming transmission to optimize the downlink to the mobile devices while transmitting in timeslots 4-7. Alternatively the blocks to be transmitted to a CPE may be buffered

1055 for scheduling in a subsequent airlink frame.

Although in the above example the scheduling of transmissions to mobile devices/CPE served by base stations B, C and D is not shown, these transmissions are scheduled in a similar manner to those at base station A. As long as base stations B, C and D adjust their phases according to the phase 1060 adjustment maps previously agreed to, the scheduling of particular CPEs in certain time/frequency slots can be performed independently at each of these base stations.

Finally, FIGS. 33 and 34 describe another embodiment of the scheduling process.

1065 FIG. 33 illustrates a flow diagram 3300 depicting processes for scheduling transmissions at a base station in accordance with an embodiment of the present invention. This flow diagram may be used alone or in conjunction with the scheduling processes shown in FIGS. 23 and 24 to illustrate the scheduling process. Again, it should be understood that this process could be executed using

1070 one or more computer-executable programs stored on one or more computer- readable media located on any one of the base station devices (e.g., 606a-c, 612, 700, and BS 1 and BS 2 of FIGS. 10 and 1 1 ) or in the server computer 800 in FIG. 8. The scheduling process 3300 begins at block 3302 by measuring a first phase difference of a first beamformed signal from a first base station at a first mobile

1075 station. In one example, the measurement may be performed by a phase difference measurement unit 914. At block 3304 the process measures a second phase difference of a second beamformed signal from a second base station at the first mobile station. Next, at block 3306, the process determines a first phase adjustment to the first beamformed signal based on the first phase difference

1080 measurement. This phase adjustment may be a four-level quantized phase adjustment, and may be determined at the CPE, a base station, or at a central server computer. This first phase adjustment may correspond to the "Phase Adjustment for best signal level" in FIG. 22. At block 3308, the process schedules a first data package in a first wireless resource with the first phase adjustment at a

1085 first base station in coordination with an associated second phase adjustment of a second wireless resource at a second base station. This scheduling process may be performed according to the scheduling algorithm described in FIGS. 20-32. Finally, at block 3310, the process transmits the first data package as a first beamformed signal to the first mobile station. 1090 FIG. 34 illustrates another flow diagram depicting processes for scheduling transmissions at a base station in accordance with an embodiment of the present invention. This flow diagram may be used alone or in conjunction with the scheduling processes shown in FIGS. 23, 24, and 33 to illustrate the scheduling process. Again, it should be understood that this process could be executed using

1095 one or more computer-executable programs stored on one or more computer- readable media located on any one of the base station devices (e.g., 606a-c, 612, 700, and BS 1 and BS 2 of FIGS. 10 and 1 1 ) or in the server computer 800 in FIG. 8. The scheduling process 3400 begins at block 3402 by measuring a first phase difference of a first beamformed signal from a first base station at a mobile station.

1100 Next, at block 3404, the process measures a second phase difference of a second beamformed signal from a second base station at the mobile station. Next, at block 3406 the process determines a first phase adjustment to the first beamformed signal based on the first phase difference measurement to increase the gain of the first beamformed signal at the mobile station. This first phase

1105 adjustment may correspond to the "Phase Adjustment for best signal level" in FIG.

22. At block 3408 the process determines an optimal phase adjustment to the second beamformed signal to reduce the gain of the second beamformed signal when received by the mobile station. This second phase adjustment may correspond to the Optimum Phase Adjustment (in degrees) to reduce interference

1110 level and priority for interference reduction" in FIG. 22. Next, at block 3410, the process continues by locating a wireless resource in a phase adjustment map at the first base station that corresponds to the first phase adjustment for the first beamformed signal and the second phase adjustment for the second beamformed signal. Finally, at block 3412 the first data package is transmitted as a first

1115 beamformed signal in the located wireless signal to the first mobile station. Thus, by increasing the gain of the intended signal and decreasing the gain of the second signal, the SINR of the signal to an intended mobile station is greatly improved, improving signal quality for an end user.

While several embodiments of the present invention have been illustrated

1120 and described herein, many changes can be made without departing from the spirit and scope of the invention. Accordingly, the scope of the invention is not limited by any disclosed embodiment. Instead, the scope of the invention should be determined from the appended claims that follow.