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Title:
REDUCTION OF RINGING AND INTER-SYMBOL INTERFERENCE IN OPTICAL COMMUNICATIONS
Document Type and Number:
WIPO Patent Application WO/2003/032491
Kind Code:
A1
Abstract:
The present invention relates to the field of optical communications, and in particular to a method and an apparatus for ringing and/or inter-symbol interference reduction in an optical transmitter. According to the present invention, the laser driver pulses are shaped to become asymmetric, in such a way that the pulse rise time (710) becomes longer than the pulse fall time (720). The resulting overshoot, ringing, undershoot and chirp of the output from the laser are greatly reduced, resulting in better receiver sensitivity. The eye of the signal thus becomes approximately symmetrical and less closed.

Inventors:
SVENSON LARS-GOETE (SE)
GOOBAR EDGARD (SE)
FROEJDH KRISTER (SE)
Application Number:
PCT/SE2002/001843
Publication Date:
April 17, 2003
Filing Date:
October 09, 2002
Export Citation:
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Assignee:
OPTILLION AB (SE)
SVENSON LARS-GOETE (SE)
GOOBAR EDGARD (SE)
FROEJDH KRISTER (SE)
International Classes:
H03K5/12; H04B10/18; (IPC1-7): H03K5/01
Foreign References:
EP0600515A21994-06-08
Other References:
DATABASE WPI Week 200115, Derwent World Patents Index; Class P85, AN 2001-143343
PATENT ABSTRACTS OF JAPAN vol. 1996, no. 12 26 December 1996 (1996-12-26)
Attorney, Agent or Firm:
Bjerkens, PatentbyrÄ KB. (Stockholm, SE)
OPTILLION AB (Stockholm, SE)
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Claims:
CLAIMS
1. A distortion reducing method for an optical transmitter comprising a semiconductor laser to which driver pulses are input, characterized by making the driver pulses asymmetric, in such a way that the rise time of the pulses becomes longer than the fall time of the pulses.
2. A distortion reducing method according to claim 1, characterized by making said rise time substantially longer than said fall time.
3. A distortion reducing method according to claim 2, characterized by making said rise time at least 50% longer than said fall time.
4. A distortion reducing method according to claim 3, characterized by making said rise time at least twice the length of said fall time.
5. A distortion reducing method according to any of the preceding claims, characterized by making said rise time at least 30% of the pulse width of said pulses.
6. A distortion reducing method according to any one of the preceding claims, characterized by increasing the pulse width of said pulses by delaying the beginning of the falling edge of said pulses.
7. A distortion reducing method according to any one of the preceding claims, characterized by using a series of duty cycle distorters to increase the rise time of said pulses.
8. A distortion reducing method according to any one of the preceding claims, characterized by letting said semiconductor laser be a direct modulated laser diode.
9. An optical transmitter comprising a semiconductor laser to which driver pulses are input, characterized in that the transmitter further comprises a rise time increasing unit configured to increase the rise time for the driver pulses, such that the rise time of the pulses becomes longer than the fall time of the pulses.
10. An optical transmitter according to claim 9, characterized in that said rise time becomes substantially longer than said fall time.
11. An optical transmitter according to claim 10, characterized in that said rise time becomes at least 50% longer than said fall time.
12. An optical transmitter according to claim 11, characterized in that said rise time becomes twice the length of said fall time.
13. An optical transmitter according to any one of claims 912, characterized in that said rise time becomes at least 30% of the pulse width of said pulses.
14. An optical transmitter according to according to any one of claims 913, characterized in that the system further comprises a pulse width increasing unit configured to increase the width of said pulses by delaying the beginning of the falling edge of said pulses.
15. An optical transmitter according to according to any one of claims 914, characterized in that said rise time increasing unit comprises a series of duty cycle distorters.
16. An optical transmitter according to according to any one of claims 915, characterized in that said pulses are sent to a direct modulated laser diode.
Description:
Reduction of ringing and inter-symbol interference in optical communications THE BACKGROUND OF THE INVENTION AND PRIOR ART The present invention relates to the field of optical communications, and in particular to a method and an apparatus for ringing and/or inter-symbol interference reduction in an optical transmitter.

Communications systems operate by sending a signal from a sender to a receiver. Generally this signal is an electrical signal but some optically based communications systems use light instead of electricity. Data is sent as a series of light pulses that may be produced by a laser and sent on an optical fiber, or even through the air. One way that optical communications systems send a light signal is by directly modulating the current supplied to the laser. The changing current causes the intensity of the laser beam to vary, resulting in light pulses.

A number of problems can occur in high-speed modulation of optical components such as direct modulated laser diodes. In a typical output for a direct modulated laser, there is an overshoot followed by an undershoot for transitions from low to high.

Similarly, there is an undershoot for transitions from high to low.

This phenomenon is called"ringing,"and the ringing effect from a transition decreases over time. As a consequence of the undershoot, the high level of the laser is decreased for a certain period of time, which increases the risk for transmission errors at the receiver. Further, if the ringing effect persists over a time frame larger than a single bit slot, it may even interfere with the signals of the following slots.

The phenomenon of previous bit slots contributing to the <BR> <BR> amplitude of a signal is termed"inter-symbol interference. " Inter-symbol interference causes negative effects, such as

increased bit-error rates, at the receiver. When the pulse rates are relatively slow (e. g. millions of bits per second, or megabits), the ringing can be tolerated, since it only occupies a very small portion of a single bit slot. But when the pulse rate is higher (e. g. billions of bits per second, or gigabits), the ringing prevents the accurate transmission of information and data.

The ringing frequency is dependent of the relaxation frequency of the lasers. However, due to the non-linear characteristics, the relaxation frequency will vary with the pulse amplitude, and cannot be removed by filtering. For example, in a typical output from a direct modulated laser, the oscillation of the ringing at the lower level is much slower than at the upper level.

Another problem with current methods of laser modulation is frequency modulation of the light output, termed"chirp."The chirp generates a pulse shape distortion as the signal is transmitted through a fiber with non-zero group velocity dispersion. The pulse shape distortion increases the power necessary at the receiver for sufficiently error free detection.

The need for the increase in power is called dispersion penalty.

Prior art methods of generating laser pulses, referred to as "direct modulation"lead to ringing, inter-symbol interference and chirp in optical communications, resulting in a loss of performance. This problem can be better understood by a review of direct modulated laser signals.

In prior art optical systems, lasers are directly and symmetrically modulated to produce a signal by increasing and decreasing the current to the laser. An increase and decrease pair is termed a "pulse."The pulse width of a symmetric input signal is equal to the bit-period. Figure 1 shows a typical optical communication system. A digital bit stream 110 is sent to a pulse shaper and driver circuit 120 driving a direct modulated laser diode 130. The generated light is coupled into an optical fiber 140. At the other end of the fiber, the light is detected by a detector 150. The

current from the detector is amplified and filtered and finally made digital by the receiver electronics 160 which transmit a digital stream 170 which should be identical to the incoming bit stream 110.

Figure 2 illustrates a symmetric driver pulse. One pulse 210 is initiated at-100ps, and the current rises to 50 mA at time-50ps.

Then, the pulse is terminated at time 0 and the current falls to the low level of 20 mA at time 50ps. Another pulse 220 is out of phase with the pulse 200 by 100ps. The area out of phase 250 <BR> <BR> is termed the"eye-opening, "and the entire diagram where the<BR> pulse shapes overlap is termed an"eye-diagram. "The eye- opening of the driver pulse is symmetrical. However, the output from a laser resulting from the symmetric driver pulse of figure 2 exhibits ringing and chirping.

Figure 3A illustrates a laser output given the symmetric driver pulse of figure 2. The output contains an overshoot 310 and a ringing undershoot 320 from the high level after the rise in current from the driver pulse. Additionally, the output contains an undershoot 330 of the low level following the fall in current from the driver pulse. The resulting eye 350 is asymmetrical and partly closed due to the ringing. In this particular example, there is a ringing effect when a preceding pulse is a zero resulting in a type of inter-symbol interference. Additionally, a receiver attempting to detect the transmitted signal may detect the signal wrongly due to the undershoot. This results in errors in data transmission.

Figure 3B illustrates the chirp resulting form the driver pulse of figure 2. The peak-to-peak value (the difference between the value at the high peak and the value at the low peak) is approximately 17 units.

Figure 4 illustrates pulse propagation over single mode optical fiber. The transmission speed is 10 Gbit/s. In pane 410, a symmetrical pulse is generated. Each pulse has a pulse shape

with a linear slope for both the rising and falling edge. Both the rise and fall time are 20 ps. The pulses are used to drive a laser and the resulting signal is in pane 420. Pane 430 shows the signals after they have propagated over a single mode optical fiber 40 km in length. At the end of the fiber, the signal reaches a receiver. The receiver is modeled as a PIN-diode receiver with a 7.5 GHz 4th order Bessel filter. Pane 440 shows the filtered signal.

One prior art method of preventing ringing and inter-symbol interference is to low-pass filter the driving current. Thus, any signal power that would have been amplified by the peak in frequency response of the laser is avoided, hopefully reducing ringing. However, if the bit rate is close to the relaxation oscillation frequency, this method results in a loss of performance.

Figure 5 illustrates a low-pass filtered symmetric driver pulse.

Figure 6A illustrates the laser output given the symmetric driver pulse of figure 5. The overshoot 610, ringing 620, and undershoot 630 are all reduced. However, the eye 650 is still asymmetrical and partially closed. Figure 6B illustrates the chirp resulting form the driver pulse of figure 5. The chirp is reduced (having a peak-to-peak value of approximately 15 units), but is still significant.

SUMMARY OF THE INVENTION It is an object of the invention to provide an optical transmitter wherein the signal distortion is reduced.

According to the present invention, the laser driver pulses are shaped to become asymmetric, in such a way that the pulse rise time becomes longer than the pulse fall time. The resulting overshoot, ringing, undershoot and chirp of the output from the laser are greatly reduced, resulting in better receiver sensitivity.

The eye of the signal thus becomes approximately symmetrical

and less closed.

Preferably, the pulse rise time is at least 50% longer than the pulse fall time. In some embodiments, the pulse rise time is at least twice the pulse fall time. In other embodiments, the pulse rise time is at least 30% of the pulse width (the bit-period).

BRIEF DESCRIPTION OF THE DRAWINGS These and other features, aspects and advantages of the present invention will become better understood with regard to the following description, appended claims and accompanying drawings, where: Figure 1 is a block diagram of a typical optical communication system, Figure 2 is an eye diagram of a symmetric driver pulse, Figure 3A is an eye diagram of the laser output given the symmetric driver pulse of figure 2, Figure 3B is a graph of the chirp resulting from the driver pulse of figure 2, Figure 4 is a set of graphs showing driver output, transmitter output, received signal and filtered signal for pulse propagation over single mode optical fiber, Figure 5 is an eye diagram of a low-pass filtered symmetric driver pulse, Figure 6A is an eye diagram of the laser output given the symmetric driver pulse of figure 5, Figure 6B is a graph of the chirp resulting from the driver pulse of figure 5, Figure 7 is a graph illustrating the rise time and fall time of a

driver pulse in accordance with an embodiment of the present invention, Figure 8 is an eye diagram of an asymmetric driver pulse in accordance with an embodiment of the present invention, Figure 9A is an eye diagram of the laser output given the asymmetric driver pulse of figure 8 in accordance with an embodiment of the present invention, Figure 9B is a graph of the chirp resulting from the driver pulse of figure 8 in accordance with an embodiment of the present invention, Figure 10A is a set of graphs of a symmetric pulse driver output, transmitter output, received signal and filtered signal, Figure 10B is a set of graphs of an asymmetric pulse driver output, transmitter output, received signal and filtered signal in accordance with an embodiment of the present invention, and Figure 11 is a graph of bit-error showing the error associated with symmetric driver pulses and asymmetric driver pulses in accordance with an embodiment of the present invention, Figure 12 is a graph of sensitivity contours in accordance with an embodiment of the present invention, Figure 13A is a block diagram of pulse shaper in accordance with an embodiment of the present invention, Figure 13B is a flow diagram of the process of shaping a driver pulse in accordance with an embodiment of the present invention,

Figure 14 is a schematic circuit diagram of a duty cycle distorter in accordance with an embodiment of the present invention, Figure 15A is a graph of signals in a duty cycle distorter in accordance with an embodiment of the present invention, Figure 15B is another graph of signals in a duty cycle distorter in accordance with an embodiment of the present invention, Figure 16A is a block diagram of a series of duty cycle distorters configured to increase pulse width and rise time in accordance with an embodiment of the present invention, Figure 16B is an eye diagram of the input and output signals for a summation unit in a series of duty cycle distorters in accordance with an embodiment of the present invention, Figure 17 is a schematic circuit diagram of a summing amplifier with five inputs in accordance with an embodiment of the present invention.

DESCRIPTION OF PREFERRED EMBODIMENTS OF THE INVENTION The present invention provides for ringing and inter-symbol interference reduction in optical communications. In the following description, numerous specific details are set forth to provide a more thorough description of different embodiments of the invention. It is apparent, however, to one skilled in the art, that the invention may be practiced without these specific details. In other instances, well known features have not been described in detail so as not to obscure the invention.

According to the present invention, the rise time of the laser driver pulse is longer than the fall time of the laser driver pulse, such that the laser driver pulse becomes asymmetric. The resulting overshoot, ringing, undershoot and chirp of the output from the laser are greatly reduced, resulting in better receiver sensitivity. The eye of the signal thus becomes approximately symmetrical and is less closed.

Figure 7 illustrates a laser driver pulse where the rise time is longer than the fall time. The rise time 710 is defined as the distance in time between when the pulse has begun to rise, at approximately 20% of its high value, and when the pulse has risen to approximately 80% of its high value. The fall time 720 is defined as the distance in time between when the pulse has begun to fall, at approximately 80% of its high value, and when it has fallen to approximately 20% of its high value.

Preferably, the rise time is at least 50% longer than the fall time.

In some embodiments, the rise time is at least twice the fall time. In other embodiments, the rise time is at least 30% of the pulse width (the bit-period).

Figure 8 illustrates an asymmetric driver pulse in accordance with an embodiment of the present invention. One pulse 810 is initiated at time-100 ps, and the current rises to the high level of 50 mA 830 more slowly than the current falls to a low level of 20 mA 840 when the pulse is terminated at time 20 ps. Thus, the pulse width is 120 ps. A second pulse 820 is generated 100 ps out of phase with the first pulse. As a result of the difference in rise and fall times, the eye 850 of the driver pulse is asymmetrical.

Figure 9A illustrates the laser output given the asymmetric driver pulse of figure 8. The eye 950 is symmetrical and not closed. Figure 9B illustrates the chirp resulting form the driver pulse of figure 8. The chirp is reduced when compared to the chirp in figure 4. In figure 9B, the peak-to-peak value is less

than 13 units. Thus, the receiver sensitivity is not degraded and ringing is avoided.

Figure 10A illustrates driver output, transmitter output, received signal and filtered signal for a symmetrical driver. Pane 1000 is a symmetrical driver output. Pane 1010 is the output from the transmitter given the input from pane 1000. Pane 1020 is the signal received at the receiver after the signal of pane 1010 has propagated through 20 km of fiber. Pane 1030 is the filtered signal achieved by filtering the received signal of pane 1020 with a 7.5 GHz fourth order Bessel filter. The resulting eye 1040 is significantly distorted.

Figure 10B illustrates driver output, transmitter output, received signal and filtered signal for a symmetrical driver in accordance with an embodiment of the present invention. Pane 1050 is an asymmetrical driver output. Pane 1060 is the output from the transmitter given the input from pane 1050. Pane 1070 is the signal received at the receiver after the signal of pane 1060 has propagated through 20 km of fiber. Pane 1080 is the filtered signal achieved by filtering the received signal of pane 1070 with a 7.5 GHz fourth order Bessel filter. The resulting eye 1090 is substantially more symmetric than the resulting eye 1040 in figure 10A.

A common way of measuring the quality of a transmitter is to measure a bit error rate curve (BER-curve) for the transmitter after transmission over a relevant length of fiber. Figure 11 illustrates the error associated with symmetric driver pulses and asymmetric driver pulses in accordance with an embodiment of the present invention. The BER curve for the symmetric driver of figure 10A 1110 and the BER-curve for the asymmetric driver of figure 10B 1120 are plotted. The asymmetric driver gives a sensitivity gain of about 0.6 dB. Since penalties on the order of 1-2 dB are commonly accepted, a gain of 0.6 dB is a significant improvement.

Figure 12 illustrates contour plots in accordance with an embodiment of the present invention. The plots illustrate the sensitivity after pulses with varying rise and fall times has propagated through 20 km of fiber. The larger negative sensitivity value the better. The best sensitivity value that can <BR> <BR> be achieved for a driver with a symmetric waveform (i. e. , where the rise time is equal to the fall time) is a sensitivity value of approximately-17.1 dBm when the rise time and fall time are both 40 ps. The grid point where rise and fall time are both 40 ps is approximately half way between the contour 1210 representing sensitivity of-17.0 dBm and the contour 1220 representing sensitivity of-17.2 dBm.

In contrast, a driver with an asymmetric waveform with a rise time of 70 ps and a fall time of 10 ps has a sensitivity value of approximately-17.8 dBm. The contour 1230 representing a sensitivity of-17.8 dBm approximately passes through the grid point where rise time is 70 ps and fall time is 10 ps. The difference in sensitivity of 0.7 dBm is significant as a total acceptable loss due to dispersion in typical links is typically 2 dBm.

Figure 13A illustrates the use of a pulse shaper in a transmitter in accordance with an embodiment of the present invention. A pulse shaper 1310 connects to a rise time control signal 1330.

An input pulse 1350 is provided to the pulse shaper 1310. The rise time control signal is used to increase the rise time of the incoming pulses. Once the pulse rise time is adjusted, the signal is sent to a laser 1320.

Figure 13B illustrates the process of shaping a driver pulse in accordance with an embodiment of the present invention. At step 1360, the input signal is generated. At step 1370, the rise time of each pulse in the signal is increased. At step 1380, the modified signal is sent to the laser.

One way of increasing the pulse rise time is to use one or more duty cycle distorters, DCDs, which can be connected in series.

Figure 14 illustrates an embodiment where a series of duty cycle distorters are used to increase the pulse rise time. The positive supply voltage, Vcc, couples to resistor R1, resistor R2, resistor R3, resistor R4, the collector of transistor M1 and the collector of transistor M2. Resistor R1 couples to the base of transistor M1, the collector of transistor M3 and resistor R5. Resistor R2 couples to the base of transistor M2, the collector of transistor M4 and resistor R6.

The emitter of transistor M1 couples to resistor R7 and the base of transistor M5. The emitter of transistor M2 coupled to resistor R8 and the base of transistor M6. Resistor R3 couples to signal OUT+ and the collector of transistor M5. Resistor R4 couples to signal OUT-and the collector of transistor M6. The IN+ signal couples to the base of transistor M3. The IN-signal couples to the base of transistor M4.

The negative supply voltage, Vee, couples to current generator 11, current generator)., current generator I+, current generator 12, resistor R7 and resistor R8. Current generator i couples to the emitters of transistor M3 and transistor M4. Current generator l couples to resistor R5. Current generator I+ couples to resistor R6, and current generator 12 coupled to the emitters of transistor M5 and transistor M6.

The output duty cycle can be adjusted by altering current generator I+ or current generator L. In one alternative, either the current from current generator I+ or the current from current generator L is 0. The voltage where the collector of transistor M3 couples to transistor M1 is C-. Similarly, the voltage where the collector of transistor M4 couples to transistor M2 is C+.

Figure 15A illustrates signals in a duty cycle distorter in accordance with the embodiment shown in figure 14. Signals IN+ and IN-form a symmetric input signal to the duty cycle

distorter. The IN+ signal crosses the IN-signal at crossing over point P1. However, signals IN+ and IN-still have the same high and low values.

The current from current generator l+ is greater than the current from current generator 1-. As a result, the mean voltage of C+ falls below the mean voltage of C-. The low values for C+ are lower than the low values for C-, and the high values for C+ are lower than the high values of C-. As a result, signal C+ crosses the C-signal at crossing over point P2. Crossing over point P2 occurs later that crossing over point P1.

Signals OUT+ and OUT-are the output of the limiting amplifier of the duty cycle distorter. The positive pulse width of OUT+ is decreased and the positive pulse width of OUT-is increased.

OUT+ crosses OUT-at crossing over point P3. A delay in the limiting amplifier causes crossing over point P3 to occur later than crossing over point P2. Increasing 12 reduces the delay of the limiting amplifier. Similarly, increasing l+ causes crossing over point P2 to occur later and results in a shorter positive pulse width for both C+ and OUT+. The end line 1050 indicates that the signals of IN+, C+ and OUT+ all terminate at the same time. The end line does not move as a result of altering 12 or l+.

Figure 15B also illustrates signals of a duty cycle distorter in accordance with the embodiment shown in figure 14. The signals used for IN+ and IN-are identical to the signals for IN+ and IN-in figure 10. However, the current from current generator I+ is less than the current from current generator L. As a result, the mean voltage of C+ rises above the mean voltage of C-. The low values for C+ are higher than the low values for C-, and the high values for C+ are higher than the high values of C-. Signals OUT+ and OUT-are the output of the limiting amplifier of the duty cycle distorter. The positive pulse width of OUT+ is increased and the positive pulse width of OUT-is decreased.

A series of duty cycle distorters can also be used to decrease the pulse width. This can be combined with the use of a series of duty cycle distorters to increase the pulse rise time. The result of each successive decreasing by a decreasing DCD is then summed with the increased pulse width from the increasing DCD. The sum is the output signal of the series of DCDs. The output signal then has an increased pulse rise time.

Figure 16A illustrates a series of duty cycle distorters configured to increase pulse rise time in accordance with an embodiment of the present invention. A signal 1680 is the input to DCD 1610.

The output of DCD 1610 is the input for DCD 1620. Both DCD 1610 and DCD 1620 are increasing pulse width (IPW) DCDs.

Thus, the original input signal has a longer pulse width due after being output from DCD 1620.

The output from DCD 1620 is an input to the summation unit 1670 as OUT1. The output from DCD 1620 is also the input to DCD 1630. Similarly, the output from DCD 1630 is an input to the summation unit as OUT2. The output from DCD 1630 is also the input to DCD 1640. Likewise, the output from DCD 1640 is an input to the summation unit as OUT3. The output from DCD 1640 is also the input to DCD 1650.

Finally, the output from DCD 1650 is an input to the summation unit as OUT4. The output from DCD 1650 is also the input to DCD 1660. Also, the output from DCD 1660 is an input to the summation unit as OUT5. DCD 1630, DCD 1640, DCD 1650 and DCD 1660 are decreasing pulse width (DPW) DCDs. Thus, the pulse width of the signal is gradually decreased as it passes through successive DPW DCDs.

The termination time of the pulse is the same in the output signals of DCD 1620, DCD 1630, DCD 1640, DCD 1650 and DCD 1660. Thus, the fall time of the sum of the signals 1690 is identical to the fall times of OUT1, OUT2, OUT3, OUT4 and OUT5. However, the pulse width gets progressively shorter as

the signal passes through the series of DCDs. As a result, the initiation and completion of the rise of the signal occurs later and later with successive DCDs in the series. Thus, the sum of the signals has a rise time that is longer than the fall time. The rise time of the signal from the summation unit begins when the rise in OUT1 begins and ends when the rise in OUT5 ends.

Figure 16B illustrates the input and output signals for a summation unit in a series of duty cycle distorters in accordance with the embodiment shown in figure 16. The rise of a pulse in signal OUT1 begins at point P1. The rise ends at point P2. The fall of the pulse begins at point P3 and ends at point P4.

Similarly, the rise of a pulse in signal OUT2 begins at point P5 and ends at point P6. Point P5 occurs later than point Pi, and point P6 occurs later than point P2. The fall of the pulse begins at point P7 and ends at point P8.

The rise of a pulse in signal OUT3 begins at point Pg and ends at point P, 0. Point Pg occurs later than point P5, and point P10 occurs later than point P6. The fall of the pulse begins at point P11 and ends at point P12. Likewise, the rise of a pulse in signal OUT4 begins at point P13 and ends at point P14. Point P13 occurs later than point Pg, and point P14 occurs later than point P10. The fall of the pulse begins at point P15 and ends at point P16.

The rise of a pulse in signal OUT5 begins at point P17 and ends at point P18. Point P17 occurs later than point P13, and point P18 occurs later than point P14. The fall of the pulse begins at point Pis and ends at point P20. Points P3, P7, P11, P15 and Pig all occur at the same time. Likewise, points P4, P8, P12, P16 and P20 all occur at the same time.

The signal resulting from a summation of OUT1, OUT2, OUT3, OUT4 and OUT5 has a rise that begins at point P2, and ends at point P22. Point P21 and point Pi occur at the same time.

Likewise, point P22 and point Pie occur at the same time. Thus, the rise time in the summation signal is longer than the rise time

of the input signals.

The summation signal has a fall that begins at point P23 and ends at point P24. Point P23 occurs at the same time as points P3, P7, P P15 and Pi5 Similarly, point P24 occurs at the same time as points P4, P8, P12, P16 and P20. Thus, the fall time of the summation signal is the same as the fall time for the input signals. As a result, the summation signal is an asymmetrical driver pulse in accordance with an embodiment of the invention.

Figure 17 illustrates a summing amplifier with five inputs in accordance with one embodiment of the present invention.

Other embodiments have other numbers of inputs. More inputs result in more flexibility in adjusting the output waveform. Fewer inputs result in a lower circuit complexity. The positive supply voltage, Vcc, couples to the anode of laser diode D1 and the collectors of transistor M6, transistor M7, transistor M8, transistor M9 and transistor M10. The cathode of D1 couples to the collectors of transistor M1, transistor M2, transistor M3, transistor M4 and transistor M5. The output current, lout, is measured through laser diode D1.

OUT5+ couples to the base of transistor M5, and OUT4+ couples to the base of transistor M4. Similarly, OUT3+ couples to the base of transistor M3, and OUT2+ couples to the base of transistor M2. Likewise, OUT1 + couples to the base of transistor M1.

OUT1-couples to the base of transistor M6, and OUT2-couples to the base of transistor M7. Similarly, OUT3-couples to the base of transistor M8, and OUT4-couples to the base of transistor M9. Likewise, OUT5-couples to the base of transistor MIO.

The negative supply voltage, Vee, couples to current generator il, current generator 12, current generator 13, current generator 14 and current generator 15. Current generator 11 couples to the emitters of transistors M1 and M6. Likewise, current generator 12

couples to the emitters of transistors M2 and M7. Similarly, current generator 13 couples to the emitters of transistors M3 and M8. Likewise, current generator 14 couples to the emitters of transistors M4 and M9. Finally, current generator 15 couples to the emitters of transistors M5 and M10. In one embodiment, the current generators produce equal values. In other embodiments, each current generator is individually controllable, so the current generators may produce differing values.

Thus, a method and apparatus for ringing and/or inter-symbol interference reduction in optical communications is described in conjunction with one or more specific embodiments. The invention is defined by the following claims and their full scope and equivalents.

The term"comprises/comprising"when used in this specification is taken to specify the presence of stated features, integers, steps or components. However, the term does not preclude the presence or addition of one or more additional features, integers, steps or components or groups thereof.

The invention is not restricted to the described embodiments in the figures, but may be varied freely within the scope of the claims.