This invention relates generally to optical communications especially coherent communication with quaternary phase shift keying (QPSK) modulation format. Quadrature modulators are used in these systems for QPSK data encoding. The present invention relates to methods and systems of control for integrated quadrature modulators.
Multi-level phase-shift-keying (PSK) offers high spectral efficiency transmission in coherent optical communication systems. Quaternary PSK (QPSK) format, in particular, has recently received much attention. An optical QPSK signal can be generated, e.g., by an integrated LiNbO3 quadrature modulator (QM) with two parallel Mach-Zehnder modulators (MZMs) nested in a MZ interferometer. Each MZM is driven to produce a binary PSK (BPSK) signal. An optical QPSK signal is produced when the two MZMs are biased at their null transmission points and the MZ interferometer is biased at the quadrature phase (π/2).
In modern communication systems operating at a speed exceeding 10 Gbits/s, a precise stabilization of QPSK modulators is required. There is a need for an automatic feedback control loop that searches for these biases and phase operating points of the QM at initial startup and maintains them during operation.
The method and system are disclosed for an automatic feedback control of integrated quadrature modulator for generation of optical quaternary phase-shift-keyed signal in coherent optical communications.
The method comprises the steps of detecting at least a part of output signal from the modulator; extracting of a particular portion of the output signal in RF frequency domain; and minimizing the output signal in RF frequency domain by dithering a voltage applied to a phase shifter of the QPSK modulator. Additionally the method includes detecting the output signal power and minimizing this output signal power by dithering a voltage applied to a first and a second bias of the QPSK modulator.
Alternative method includes detecting the output signal power and maximizing this output signal power by dithering a voltage applied to a first and a second bias of the QPSK modulator.
The control loop algorithm uses a steepest decent algorithm to search for optimal operating points of the quadrature modulator via dithering of its biases and phase. The criteria for the dithering are based on minimization of the RF signal voltage and maximization or minimization of the optical average power of the output signal.
An optical communications system is proposed that incorporates QSPK modulator for data encoding with the feedback loop control of the modulator to improve transmission performance. In the preferred embodiment the communication system includes an integrated coherent receiver based on 90-degrees optical hybrid.
Yet another object of the present invention is an optical communications system operating in two polarization states of light. The system incorporates two QPSK modulators having, its feedback loop control.
A schematic diagram for a feedback control loop for the quadrature modulator is shown in
The principle of feedback loop operation becomes clear from the following detailed description of its operation.
Taking the derivative of the above with respect to VB and equating to zero gives
The above is satisfied if Vs=mVπ and VB=nVπ(m,n=0,±1,±2, . . . ). Taking the second derivative of <Po(t)> with respect to VB gives
Therefore, the conditions for extrema of the average optical power are
For null transmission of the MZM, VB=±Vπ, ±3Vπ, . . . , so that the above can be written as follows
Therefore, in order to maintain null transmission of the MZM for BPSK operation the average power of the MZM output should be maximized for Vπ<Vpp≦2Vπor minimized for 0<Vpp<Vπ.
a shows a simulated output optical average power of the QM versus VB for Vpp of 0.75 and 1.2Vπ. The simulation uses a 12.5 Gb/s NRZ pseudo-random binary sequence (PRBS) with a word length of 211−1 with realistic waveforms (finite rise and fall times and ringings) driving the two MZNs of the QM biased to quadrature phase. The two NRZ signals are complementary with a 2-symbol relative time delay. Gaussian noise was added to the drive signal and to the input optical field to check the robustness of the response. As can be seen the simulation result is consistent with the dependence of the average power on the MZM bias analyzed above.
Consider now the phase bias of the MZ interferometer of the QM where the phase shift between the two BPSK signals (I and Q) is ΔφIQ. It can be shown that the directly detected output power of the QM is given by
PQm=(kPi/4){1−cos(πVi/Vπ)/2−cos(πVQ/Vπ)/2+2 sin[πV1/(2Vπ)]sin[πVQ/(2Vπ)]cos(ΔφIQ)},
where VI and VQ are the NRZ binary data signals applied to the two MZMs biased at their null transmission points (VB=Vπ). Assuming VI and VQ varies between ±Vπ, the detected output can thus be simplified as follows
It is clear that data-like binary pattern will appear at the output of the QM if the MZ interferometer is not in quadrature (ΔφIQ≠π/2). the RF spectrum of PQM contains low-frequency components due to this data pattern. Therefore, a minimum integrated RF spectral power of PQm should be an indication that ΔφIQ is close to π/2.
The control loop uses a steepest decent algorithm to search for optimal operating points of the QM via dithering of its biases and phase. The dithering is performed continuously while monitoring the two feedback signals: VRF and the average optical power. The criteria for the dithering is based on minimization of the signal VRF and maximizes or minimizes the optical average power if the peak-to-peak NRZ drive signal is above or below the half-wave voltage (Vπ) of the quadrature modulator as described earlier.
An experiment on closed-loop control of the QM was conducted to investigate its performance for generation of a 12.5-GSym/s optical QPSK signal. A packaged LiNbO3 QM was driven by two 12.5 Gb/s NRZ PRBS (word length: 215−1) signals. The two NRZ signals are complementary with a 2-symbol relative time delay. The NRZ drive voltage swing applied to the QM was Vp˜1.2Vπ. The output of the QM was tapped off and directed to a 750-MHz photodetector where its output was divided into two with one path connected to a Schottky diode detector to extract the low-frequency RF spectral power (VRF). The signal was amplified and directed to a commercial off-the-shelf (COTS) analog-to-digital converter (ADC) connected to a desktop computer (PC) running a code based on the control loop algorithm described earlier. The second path was amplified and directly connected to the ADC that provides monitoring of the optical average power. Outputs of a COTS digital-to-analog converter connected to the PC are directed to the two MZM bias ports and the phase port of the QM. This completes the QM feedback control loop.
The 12.5 GSym/s optical QPSK signal was directed to a receiver with an optical pre-amp and a band-pass filter. Differential detection of the 12.5 GSym/s QPSK signal was employed using a fiber-based asymmetric Mach-Zehnder (AMZ) interferometer with a one-symbol differential delay (80 ps). The two outputs of the AMZ demodulator were directed to a 15-GHz balanced photoreceiver. The differential phase shift of the AMZ was adjusted to approximately ±π/4 to obtain maximum eye opening.
Coherent communications system with quadrature modulator having a control unit is another object of the present invention.
The block diagram of a coherent communications system according to the present invention is shown in
In the preferred embodiment the coherent optical receiver is an integrated receiver based on 90-degrees optical hybrid as disclosed in co-pending U.S. patent applications Ser. Nos. 10/669,130 filed on Sep. 22, 2003 and 10/672,372 filed on Feb. 7, 2007 by the same inventors, incorporated herein by references.
The first 33 and the second 34 device inputs both are connected, respectively to the first coupler 35 and the second coupler 36. One output of the first coupler 35 is connected to one input of the third coupler 37 while another output of the first coupler 35 is connected to the one input of the fourth coupler 38 by a first crossing waveguide 45. An output of the second coupler 36 is connected to another input of the fourth coupler 38 while another output of the second coupler 36 is connected to another input of the third coupler 37 by a second crossing waveguide 46. The optical interface also includes at least one phase shifter positioned between two locations. The first location is one of the outputs of the first or second coupler. The other location is one of the inputs of the third or fourth couplers, which corresponds (connected by a crossing waveguide) to the first location. The first and second outputs of the third coupler 37 produce the first 41 and the second 42 device outputs, respectively. The first and second outputs of the fourth coupler 38 produce the third 43 and the fourth 44 device outputs, respectively.
Signals coming out of the outputs 41, 42, 43, and 44 impinge photodetectors 47, 48, 49, and 50, respectively. It is preferred that the photodetectors are PIN photodiodes. The photodiodes are located at equal distance apart. The distance between the neighbor photodiodes can be from 0.01 to 1 mm. In the preferred embodiment the distance is from 0.1 to 0.2 mm. The array of the photodiodes is fabricated on top of a single substrate. InGaAs photodiodes produced by OSI Optoelectronics, Inc, (Hawthorne, Calif.) are examples of such photodiodes. In the preferred embodiment the substrate is made of alumina.
In another embodiment an optical signal in two polarization states is transmitted over the communications link and by a two polarization coherent detector. One embodiment of a coherent optical receiver 59 operating in two polarizations is shown in
Signals coming out of the ten outputs 80, 81, 82, 83, 84, 85, 86, 87, 88, 89 impinge photodetectors 96, 97, 98, 99, 100,101, 102, 103, 104, 105, respectively. It is preferred that the photodetectors are PIN photodiodes. Similarly to the device in
An optical communication link shown in
The elements in the optical receivers 31 and 60 can each be formed as part of a single planar chip made of an electro-optical material. In various embodiments, the chip is a monolithic piece of a wafer that can be made of semiconductor or ferroelectric materials including but not limited to LiNbO3, and the like. In various embodiments, different effects relative to the output of the chip of the present invention are possible, including but not limited to, (i) thermo-optical, (ii) electro-optical, (iii) electro-absorption, and the like. The electro-optical material, which can be LiNbO3, can be cut at X, Y, or Z planes. The device of the present invention can utilize a variety of different processes in its creation, including but not limited to, metal in-diffusion and/or (annealed) protonic-exchange technology, wet etching, reactive ion (beam) etching, plasma etching, and the like.
Integration of components in a single chip, such as LiNbO3 and the like, can, among other things, reduce cost, improve performance, and provide better stability and control. The optical interfaces 31 and 60 of the present invention, when integrated on a single chip and/or in single package, can be used for various applications, including those that require simultaneous measurement of phase and amplitude of the optical field. In the preferred embodiment the receiving units 32 and 61 include the balanced receivers and optionally Trans-Impedance Amplifiers (TIAs), all formed as a part of a single integrated package.
Alternatively the integrated device chip can be made of the semiconductor material selected from Si and InP.
The description of the invention has been presented for purposes of illustration and description. It is not intended to be exhaustive or to limit the invention to the precise forms disclosed. Obviously, many modifications and variations will be apparent to practitioners skilled in this art. The application of the disclosed quadrature modulator is not limited to optical communications either free-space, fiber or waveguide. The present invention is related to any other possible applications of QPSK modulation technique.
The present invention claims the benefit of provisional application 60/777,610 filed Feb. 28, 2006. This patent application is a continuation-in-part of U.S. Ser. No. 10/613,772 filed Jul. 2, 2003, incorporated herein by reference. This application is also a continuation-in-part of U.S. patent applications Ser. Nos. 10/669,130 filed on Sep. 22, 2003 and 10/672,372 filed on Feb. 7, 200, incorporated herein by reference.
Number | Date | Country | |
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60777610 | Feb 2006 | US |
Number | Date | Country | |
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Parent | 10613772 | Jul 2003 | US |
Child | 11679376 | Feb 2007 | US |
Parent | 10669130 | Sep 2003 | US |
Child | 11679376 | Feb 2007 | US |
Parent | 10672372 | Sep 2003 | US |
Child | 11679376 | Feb 2007 | US |