VERSATILE COMPACT TRANSMITTER FOR GENERATION OF ADVANCED MODULATION FORMATS

Reference To Pending Prior Patent Applications This patent application:

(i) is a continuation-in-part of pending prior U.S. Patent Application Serial No. 11/272,100, filed 11/08/05 by Daniel Mahgerefteh et al. for POWER SOURCE FOR A DISPERSION COMPENSATION FIBER OPTIC SYSTEM (Attorney's Docket No. TAYE-59474-00006 CON); (ii) is a continuation-in-part of pending prior U.S. Patent Application

Serial No. 10/308,522, filed 12/03/02 by Daniel Mahgerefteh et al. for HIGH-SPEED TRANSMISSION SYSTEM COMPRISING A COUPLED MULTI-CAVITY OPTICAL DISCRIMINATOR (Attorney's Docket No. TAYE-59474-00007); (iii) is a continuation-in-part of pending prior U.S. Patent Application

Serial No. 11/441,944, filed 05/26/06 by Daniel Mahgerefteh et al. for FLAT DISPERSION FREQUENCY DISCRIMINATOR (FDFD) (Attorney's Docket No. TAYE-59474-00009 CON);

(iv) is a continuation-in-part of pending prior U.S. Patent Application Serial No. 11/068,032, filed 02/28/05 by Daniel Mahgerefteh et al. for OPTICAL

SYSTEM COMPRISING AN FM SOURCE AND A SPECTRAL RESHAPING ELEMENT (Attorney's Docket No. TAYE-31);

(v) is a continuation-in-part of pending prior U.S. Patent Application Serial No. 11/084,630, filed 03/18/05 by Daniel Mahgerefteh et al. for FLAT- TOPPED CHIRP INDUCED BY OPTICAL FILTER EDGE (Attorney's Docket

No. TAYE-34);

(vi) is a continuation-in-part of pending prior U.S. Patent Application Serial No. 11/702,436, filed 02/05/07 by Kevin McCallion et al. for MULTI- RING RESONATOR IMPLEMENTATION OF OPTICAL SPECTRUM RESHAPER FOR CHIRP MANAGED LASER TECHNOLOGY (Attorney's

Docket No. TAYE-23 RR CON);

(vii) is a continuation-in-part of pending prior U.S. Patent Application Serial No. 11/084,633, filed 03/18/05 by Daniel Mahgerefteh et al. for METHOD AND APPARATUS FOR TRANSMITTING A SIGNAL USING SIMULTANEOUS FM AND AM MODULATION (Attorney's Docket No.

TAYE-33);

(viii) claims benefit of pending prior U.S. Provisional Patent Application Serial No. 60/853,867, filed 10/24/06 by Kevin McCallion et al. for SPECTRAL RESPONSE MODIFICATION VIA SPATIAL FILTERING WITH OPTICAL FIBER (Attorney's Docket No. TAYE-47B PROV); and

(ix) claims benefit of pending prior U.S. Provisional Patent Application Serial No. 60/789,863, filed 04/06/06 by Daniel Mahgerefteh et al. for VERSATILE COMPACT TRANSMITTER FOR GENERATION OF ADVANCED MODULATION FORMATS (Attorney's Docket No. TAYE-73 _. PROV).

The nine above-identified patent applications are hereby incorporated herein by reference.

Field Of The Invention

This invention relates to signal transmissions in general, and more particularly to the transmission of optical signals.

Background Of The Invention

The quality and performance of a digital fiber optic transmitter is determined by the distance over which the transmitted digital signal can propagate without severe distortions. The bit error rate (BER) of the signal is measured at a receiver after propagation through dispersive fiber and the optical power required to obtain a certain BER, typically 10 ^"12 , sometimes called the sensitivity, is determined. The difference in sensitivity at the output of the transmitter with the sensitivity after propagation is sometimes called the dispersion penalty. This is typically characterized by the distance over which a dispersion penalty reaches a

level of - IdB. A standard 10 Gb/s optical digital transmitter, such as an externally modulated source, can transmit up to a distance of ~ 50 km in standard single mode fiber at 1550 nm before the dispersion penalty reaches the level of ~ 1 dB, which is sometimes called the dispersion limit. The dispersion limit is determined by the fundamental assumption that the digital signal is transform- limited, i.e., the signal has no time-varying phase across its bits and has a bit period of 100 ps, or l/(bit rate), for the standard 10 Gb/s transmission. Another measure of the quality of a transmitter is the absolute sensitivity after fiber propagation. Three types of optical transmitters are presently in use in prior art fiber optic systems: (i) directly modulated lasers (DML), (ii) Electroabsorption Modulated Lasers (EML), and (iii) Externally Modulated Mach Zhender (MZ)

modulators. For transmission in standard single mode fiber at 10 Gb/s, and 1550 nm, it has generally been assumed that MZ modulators and EML can have the longest reach, typically reaching 80 km. Using a special coding scheme, sometimes referred to as phase-shaped duobinary, MZ transmitters can reach 200 km. On the other hand, directly modulated lasers (DML) typically reach < 5 km because their inherent time-dependent chirp causes severe distortion of the signal after this distance. By way of example, various systems for long-reach lightwave data transmission (> 80 km at 10 Gb/s) through optical fibers which increase the reach

of DML to > 80 km at 10 Gb/s in single mode fiber are disclosed in (i) U.S. Patent Application Serial No. 11/272,100, filed 11/08/05 by Daniel Mahgerefteh et al. for POWER SOURCE FOR A DISPERSION COMPENSATION FIBER OPTIC SYSTEM (Attorney's Docket No. TAYE-59474-00006 CON), (ii) U.S. Patent Application Serial No. 11/441,944, filed 05/26/06 by Daniel Mahgerefteh et al. for FLAT DISPERSION FREQUENCY DISCRIMINATOR (FDFD) (Attorney's Docket No. T A YE-59474-00009 CON) and (iii) U.S. Patent Application Serial No. 10/308,522, filed 12/03/02 by Daniel Mahgerefteh et al. for HIGH-SPEED TRANSMISSION SYSTEM COMPRISING A COUPLED MULTI-CAVITY OPTICAL DISCRIMINATOR (Attorney's Docket No. TAYE-

59474-00007), which patent applications are hereby incorporated herein by reference. The transmitter associated with these novel systems is sometimes

referred to as a Chirp Managed Laser (CML™ ) by Azna LLC of Wilmington, Massachusetts. In these new systems, a Frequency Modulated (FM) source is followed by an Optical Spectrum Reshaper (OSR) which uses the frequency modulation to increase the amplitude modulated signal and partially compensate for dispersion in the transmission fiber. In one embodiment, the frequency modulated source may comprise a Directly Modulated Laser (DML). The Optical Spectrum Reshaper (OSR), sometimes referred to as a frequency discriminator, can be formed by an appropriate optical element that has a wavelength-dependent

transmission function, e.g., a filter. The OSR can be adapted to convert frequency modulation to amplitude modulation.

Summary Of The Invention In the novel system of the present invention, the chirp properties of the frequency modulated source are utilized and then further reshaped by configuring the OSR to further extend the reach of a CML™ transmitter to over 250 km on standard single mode fiber at 10 Gb/s and 1550 nm. The novel system of the present invention combines, among other things, selected features of the systems described in (i) U.S. Patent Application Serial No. 11/068,032, filed 02/28/05 by

Daniel Mahgerefteh et al. for OPTICAL SYSTEM COMPRISING AN FM SOURCE AND A SPECTRAL RESHAPING ELEMENT (Attorney's Docket No. TAYE-31), (ii) U.S. Patent Application Serial No. 11/084,630, filed 03/18/05 by Daniel Mahgerefteh et al. for FLAT-TOPPED CHIRP INDUCED BY OPTICAL FILTER EDGE (Attorney's Docket No. TAYE-34), (iii) U.S. Patent

Application Serial No. 11/702,436, filed 02/05/07 by Kevin McCallion et al. for MULTI-RING RESONATOR IMPLEMENTATION OF OPTICAL SPECTRUM RESHAPER FOR CHIRP MANAGED LASER TECHNOLOGY (Attorney's Docket No. TAYE-23 RR CON) and (iv) U.S. Patent Application Serial No. 11/084,633, filed 03/18/05 by Daniel Mahgerefteh et al. for METHOD AND

APPARATUS FOR TRANSMITTING A SIGNAL USING SIMULTANEOUS

FM AND AM MODULATION (Attorney's Docket No. TAYE-33), which patent applications are hereby incorporated herein by reference.

More particularly, the present invention comprises a device for generating an optical differentially-phase-shift-keyed (DPSK). return -to-zero (RZ) signal, using a chirp managed laser of the sort described in the above-identified patent applications.

In another form of the present invention, there is provided a system for generating a return-to-zero differentially-phase-shift-keyed (RZ-DPSK) optical signal comprising: a driver comprising an N-level digital multilevel transformer (DMT) configured to receive a two level digital electrical signal representing Is and Os and output a N-level electrical signal, wherein N > 2; an FM source configured to receive the N-level electrical signal output by the driver and generate an optical frequency modulated signal; and

an optical spectrum reshaper (OSR) configured to receive the optical frequency modulated signal output by the FM source and generate the desired RZ- DPSK optical signal.

In another form of the present invention, there is provided a method for generating a return-to-zero differentially-phase-shift-keyed (RZ-DPSK) optical signal, the method comprising:

(1) receiving a two level digital electrical signal representing Is and Os and outputting a N-level electrical signal, wherein N > 2;

(2) receiving the N-level electrical signal output and generating an optical frequency modulated signal; and (3) receiving the optical frequency modulated signal and generating the desired RZ-DPSK optical signal.

Brief Description Of The Drawings

These and other objects, features and advantages of the present invention will be more fully disclosed or rendered obvious by the following detailed description of the preferred embodiments of the invention, which is to be

considered together with the accompanying drawings wherein like numbers refer to like parts and further wherein:

Fig. 1 is a schematic illustration of the Chirp Managed Laser-based RZ- DPSK Transmitter of the present invention;

Fig. 2 shows a bit sequence progression along the transmitter chain in the Chirp Managed Laser RZ-DPSK source;

Fig. 3 shows a DFB laser with an electro-absorption modulator; and Fig. 4 shows an OSR and relative spectral position of the various frequency modulated levels in a three level signal output of an FM source.

Detailed Description Of The Preferred Embodiments

The DPSK Format

In the DPSK format, an input digital electrical signal representing Is and Os is converted to an optical signal where the information is encoded in the phase of a continuous-wave (CW), constant-amplitude signal. In this DPSK format, the modulation rule is that, given an input random digital sequence of Is and Os bits,

the phase of the CW signal is changed by π for every occurrence of a 0 bit while

the phase is unchanged for the occurrence of a 1 bit. As an example, consider the digital sequence and the resulting DPSK phase of the bits shown below in Table

1:

(a) Digital signal: 11101001010001101011011...

(b) Phase of bits: O Oπ π O π π O O π O π π π O O...

(c) Amplitude of bits: 1 1 -1 -1 1 -1-1 1 1 -1 1 -1 -1 -1...

(d) Intensity of bits: 11 1111111111111

(1) Table 1

Here the amplitude refers to the optical electric field of the bit, which carries phase information, whereas intensity refers to the optical power in the bits, which

does not carry phase information. The optical electric field representation of each bit is a complex number, whereas the optical intensity is always a real, positive number. The advantage of this modulation format is that it provides the same bit error rate as standard, on-off keying at a 3 dB smaller signal-to-noise ratio, thereby enabling transmission over a larger number of optical amplifiers, which translates to a longer transmission distance. This is because in the DPSK format, every bit carries energy, whereas in a non-return-to-zero on-off keying (OOK) scheme, only the 1 bits have energy; the 0 bits carry no energy.

The advantage of DPSK is realized by using a 1 bit delayed interferometer at the receiver together with a balanced receiver. The function of the 1 bit delayed interferometer is to convert the phase modulation of DPSK to amplitude

modulation. This interferometer has two outputs: (1) the ADD output, where the 1 bit delayed version of bits are added together, and (2) the SUBTRACT output, where the 1 bit delayed version of bits are subtracted from each other. Since the input DPSK signal is split between the two arms of the interferometer, the power in each arm is reduced by a factor of 2. The function of the interferometer, which is usually a Mach-Zhender type, is shown below in an example in Table 2: here the amplitude sequence (c) is delayed by 1 bit in one arm of a Mach-Zhender interferometer to produce stream (d) which is made to interfere with the input in the Mach-Zhender so as to produce the ADD (e) and the SUBTRACT (f) outputs.

The intensities of these two outputs are detected by a standard photodetector,

which is not sensitive to the phase of the optical field and only measures optical power. A two port balanced receiver subtracts the detected photocurrents of the ADD and SUBTRACT ports, resulting in output (g), which is known in the art to have 3 dB higher sensitivity than a standard OOK transmitter:

(c) Amplitude of bits: ¹ Ax 1 1 -1 -1 1 -1-1 1 1 -1 1 -1 -1 -1

(d) One bit delayed version: '/ ₂ χ 1 1 -1 -1 1 -1-1 1 1 -1 1 -1 -1 -1

(e) Amplitude of ADD port ...1 O 1 O O 1 O 1 O O O 1 1 ...

(f) Amplitude of SUBTRACT port ...00 1 0 1 1 0 1 0 1 1 1 00 (g) Output of balanced receiver (V) 1-11-1-11-11 -1 -1 -111

Table 2

The bits are distinguished at the receiver by using a digitizer that assigns the bit value 1 if the output of the receiver, V ₁ is above a certain voltage value sometimes called the decision threshold or 0 if the output voltage, V, is below the decision threshold. As is known in the art, the decision threshold for the DPSK modulation format is placed at 0 volts, so that the so-called "distance" between the 1 and 0 bits is now 2, i.e., the difference in voltage between the 1 and 0 bits is

J- (-J) = 2, whereas the difference would be J - 0 = J for standard OOK,

assuming the same average optical power. This factor of 2 difference allows the

same bit error rate to be obtained at 14 of the optical signal-to-noise ratio (OSNR) as standard OOK, hence the 3 dB advantage of DPSK.

In a retum-to-zero differential-phase shift-keying (RZ-DPSK) transmitter, the output of a CW laser is further modulated by a sinusoidal clock signal at a selected bit rate (e.g., 10 GHz), with 30%-50% duty cycle, in order to further improve the sensitivity at the receiver. Hence the output intensity is a constant intensity pulse train with 30-50% duty cycle at the bit rate, while the phases of the pulses follow the DPSK rule set forth above.

In the prior art, the RZ-DPSK transmitter typically comprises a CW laser,

a first modulator to generate DPSK, and a second modulator to carve out the

30%-50% duty cycle pulses or higher sensitivity. The modulators used in the prior art are typically Mach-Zhender phase and/or amplitude modulators, which are bulky, require a high (i.e., > 4-6 V _pp ) drive voltage and therefore have high power consumption, which is not desirable.

DPSK And Chirp Managed Laser CCMU

In the present invention, a compact chirp managed laser (CML), which comprises an FM source and an optical spectrum reshaper (OSR), is used to generate RZ-DPSK signal without the use of external modulators. Fig. 1 shows a schematic illustration of the novel apparatus. A binary electrical digital data stream is fed into a digital multilevel transformer (DMT)

which converts the two level input of the binary electrical digital data stream to a three level output according to the procedure to be described below. The three level digital signal emerging from the DMT is then used to drive an FM source (e.g., a distributed feedback laser, also known as a DFB laser) which converts the input digital three level signal to an optical three level signal. In other words, the output of the DMT is used as the input to the CML apparatus. Both the optical frequency and optical intensity of the laser output will be modulated according to the three level driver signal output by the DMT.

The amplitude of the electrical signal output by the DMT is chosen so as to generate a prescribed frequency excursion and amplitude excursion whereby to

produce the desired phase coding of the DPSK: (i) when a zero phase is desired, i.e., amplitude = +1, the driver amplitude is adjusted so as to produce a chirp

Af= 2 / T at the output of the laser, where T is ¹ A the duration of the bit, e.g., 50

ps for a 50% duty cycle RZ signal at 10 Gb/s; (ii) when a π phase is desired in the

coded DPSK output, i.e., amplitude = -1, chirp, the driver amplitude is made to

generate a chirp Af= 1 / T at the output of the laser. Note that the phase shift

across the zero bit is Aφ = 2πTAf , so that for a 50% duty cycle RZ-DPSK signal

at 10 Gb/s, the chirp = 20 GHz for a 0 phase shift (amplitude = +1) and the chirp

= 10 GHz for a π phase shift (amplitude = - 1).

The optical output of the FM source is then passed through an optical spectrum reshaper (OSR), i.e., filter, which has two functions: (i) the OSR increases the amplitude modulation of the output signal, and (ii) the OSR converts the input adiabatic frequency excursion (output by the FM source) to a flat-topped chirp with nearly instantaneous, abrupt phase shifts near the null outputs of the signal.

To further elucidate this novel approach, consider the input binary digital bit sequence:

a _n = ... 1 1 1 O 1 O O 1 O 1 O O O 1 1 O 1 O 1 1 O 1 I

at the input to the three level digital transformer (DMT). Fig. 2 shows the bit sequence, and the pulse shapes, at various points in the transmitter chain (i.e., the transmitter stages). The desired output sequence, b _n , which is labeled "desired output" in Fig. 2, is another binary digital sequence with two values, here taken to be +J and -/. The sequence b _n can be related to the input sequence a _n according to the rule that the value of bit b _n is changed from its previous value b _n .j for every occurrence of a O bit in α _π , while it is left unchanged for the occurrence of a 1 bit in a _n . In a conventional RZ-DPSK transmitter, this sequence is generated by use of a differential encoder in combination with a Mach-Zhender modulator. In the

present invention, the differential encoder is no longer needed. For the case that

b _n = +1, or -1, this rule can be written as:

If a _n = 1, then b _n = b _n _ _x

If a _n = 0, then b _n = -b _n ., (2)

The sequence a _n is fed into a three-level digital transformer (DMT) which generates the pulse shape shown in Fig. 2 at point B, according to the following rule (in this example, the desired output pulses have a 50% duty cycle): (i) when the input bit is a _n = I, the signal at point B drops to 0 (changes by V), stays at the

0 value for 50% of the bit duration, 2T, and returns to the value V - the voltage drop, V, is adjusted according to the FM efficiency of the laser in order to

generate a chirp equal to 2 times the bit rate frequency; δ/= 1 I T; (ii) when the input bit is a = 0, the output drops to V/2, stays at that value for time T, and returns to the value V in order to generate a chirp equal to the bit rate frequency,

i.e., Af= 1 / IT.

This choice of voltage output guarantees the generation of the proper phase relation between bits at the output of a frequency modulated (FM) source, as described hereinbelow. The FM source, such as a DFB laser, is driven by the voltage pattern at point B, and generates a frequency and amplitude modulated output waveform shown at point C (frequency profile and phase profile, but

amplitude profile not shown). The value of the drive voltage, V, is chosen to generate a frequency excursion which is equal to the bit rate of the digital signal, i.e., 10 GHz for a 10 Gb/s data stream with a 50% duty cycle. More generally, the full frequency excursion, δf, is chosen such that δf χ T = l , where T is the

duration of the 0 in the return-to-zero signal, i.e., V2 the bit period for a 50% duty cycle RZ pulse sequence. The voltage is determined by the so-called FM efficiency of the source, 77^, in GHzTV - in other words, δf= η _FM V. The phase

of the optical signal at the output of the DFB laser is the time integral of the frequency excursion as shown in Fig. 2. For example, when a _n = 1, and a 0 phase

is desired, the full frequency excursion δf = 20 GHz is applied for a 10 Gb/s

return-to-zero (RZ) data stream with a 50% duty cycle, so that the phase of the

frequency modulated signal slips by 20 GHz x 2 π x 50 ps = 2π. When the input

bit is a _n = I ₁ the three level digital transformer (DMT) produces '/2 the voltage, generating 10 GHz frequency excursion for the case of 10 Gb/s RZ. In this case,

the phase of the signal slips by 10 GHz x 2π x 50 ps = π, and the resulting

adjacent pulses will have a π phase shift between them, as desired.

The output of the FM source (i.e., the laser) is passed through an optical spectrum reshaper (OSR), i.e., a filter, which increases the amplitude excursion and flattens the chirp, as described in the aforementioned patent applications relating to chirp managed lasers. As shown in Fig. 2, the intensity at the output of

the OSR is an RZ-DPSK signal where each bit carries equal energy and the data is encoded in the phase of the bits.

The amplitude of the resulting pulses at the output of the DFB is not shown in Fig. 2, but, as is well known in the art of chirp-managed lasers, typically follows the frequency excursion.

In another embodiment of the present invention, the FM source has independent control for amplitude and frequency excursion. For example, a DFB laser can be used for generating frequency modulation and an electro-absorption (EA) modulator, which follows the output of the laser, can be used for amplitude modulation and pulse carving. The DFB and EA can be integrated on the same chip, as shown in Fig. 3.

Independent control of frequency (FM) and amplitude (AM) can be used to generate a DPSK signal as follows. The amplitude modulation, generated by the EA modulator, for example, is programmed to provide the desired amplitude modulation after the OSR. For example, the amplitude modulation can be reduced for bits having large frequency excursion and increased for bits having small frequency modulation, such that the output amplitude of high level and low levels after OSR are the same. The output amplitude after the OSR follows the following equation:

AM(O + FM(t) x (OSR slope) = constant (3)

Here AM is amplitude modulation depth in dB, which is defined as the ratio of the 1 level to the 0 level, FM is the frequency modulation in GHz, and slope is the OSR slope in dB/GHz. In the example above, if the FM source has independent control of output amplitude, the AM component would be programmed to output

voltage V _AM when the frequency is at half the maximum, i.e., δf /2 , and the

amplitude is set to V _A M/2 when the frequency excursion is at maximum, i.e., δf.

Here V _AM is chosen to provide the appropriate amplitude response, and depends on the AM slope efficiency of the source. In another example, RZ-DPSK is generated at the bit rate, e.g., 10 Gb/s,

using a DFB/EA combination as the FM source and an OSR, in order to reduce the required maximum chirp from twice the bit rate frequency, i.e., 20 GHz for 10 Gb/s signal to the bit rate frequency, i.e., 10 GHz for 10 Gb/s signal. This is achieved by generating the desired phase shift in full bit period, i.e., 100 ps for a 10 Gb/s signal. The EA modulator generates the desired RZ pulse shape with

50% duty cycle by modulating the amplitude of the output of the DFB. For example, when a _n = 1, and a 0 phase is desired, the full frequency excursion

δf = 10 GHz is applied for a 10 Gb/s signal, so that the phase of the frequency

modulated signal slips by 10 GHz x 2 π x 100 ps = 2π. When the input bit is

a _n = 0, the three level digital transformer produces Vt the voltage, generating 5

GHz frequency excursion. In this case, the phase of the signal slips by 5 GHz x

2π x 100 ps = π, and the resulting adjacent pulses will have a π phase shift

between them, as desired. The output of the FM source is passed through an optical spectrum reshaper (OSR) filter which increases the amplitude excursion and flattens the chirp, as described in the above-identified patent applications relating to chirp managed lasers (CML).

Fig. 4 shows an example of an optical spectrum reshaper (OSR) and the spectral positions of the various frequency values at the output of the FM source. Here the peak frequency, fa, which corresponds to the highest amplitude, is aligned with a relatively low loss point on the OSR, while the middle frequency/} is aligned to have higher loss (~ 10 dB). The frequency /^ suffers higher loss because it is a lower frequency (as shown in Fig. 4). Ideally the signal levels at the output of the OSR will be such that the 0 energy in the/ _/ level and/} levels will be negligible, e.g., < -10 dB below the energy in the peak of the Is. In this example, the OSR is used at its transmission edge and is also bandwidth limiting. A variety of OSR shapes can introduce discrimination between the various frequency components to generate the desired amplitude response after the OSR.

Importantly, it should be noted that a key function of the OSR edge is the transformation of the adiabatic chirp at the output of the FM source to flat-top chirp with abrupt phase shifts at the Os, as has been described in (i) U.S. Patent Application Serial No. 11/068,032, filed 02/28/05 by Daniel Mahgerefteh et al. for OPTICAL SYSTEM COMPRISING AN FM SOURCE AND A SPECTRAL

RESHAPING ELEMENTT (Attorney's Docket No. TAYE-31) and (ii) U.S. Patent Application Serial No. 11/084,630, filed 03/18/05 by Daniel Mahgerefteh et al. for FLAT-TOPPED CHIRP INDUCED BY OPTICAL FILTER EDGE (Attorney's Docket No. TAYE-34), which patent applications are hereby incorporated herein by reference. The resulting uniform phase generated by the transfer function of the OSR is important in generating a RZ-DPSK signal with improved sensitivity.

Generation Qf RZ-OPSK

Note that the same concept can be generalized to produce return-to-zero quadrature phase shift keying (RZ-QPSK), for which the information is coded

into four possible phases { 0, π/2, π, -π/2 }. The corresponding complex field

amplitudes in this case are { 1, i, -1, -i}. In this case, the multilevel digital transformer produces a four level signal, V _k , such that:

2πδf _k χ T = {2π,π/2,π,3π/2) (4)

The desired frequency excursions will therefore be

Af _k = {l/7\l/47\l/27\3/4r} for corresponding phases of {0, π/2, π, -π/2}. For

example, to generate RZ-DQPSK for a 10 Gb/s RZ signal with 50% duty cycle,

the amplitudes of the DMT are adjusted so as to generate frequency excursions of

20 GHz for a bit requiring 0 phase shift, 5 GHz for a bit requiring a π/2 phase

shift, 10 GHz for a bit requiring a π phase shift, and 15 GHz for a bit requiring

3π/2 phase shift. The OSR transmission is chosen such that the low levels during the 0 part of the bits is < -10 dB below the high level. In the case that the source has independent FM and AM modulation, the amplitude is adjusted to provide constant amplitude for the output pulses. As is clear from the above two examples, a variety of multilevel phase coded signals can be generated by using the chirp managed laser scheme described above by adjusting the frequency excursion to generate the desired phase in the desired bit.

Modifications

It will be understood that many changes in the details, materials, steps and arrangements of parts, which have been herein described and illustrated in order to explain the nature of the invention, may be made by those skilled in the art without departing from the principles and scope of the present invention.