This application is a 35 U.S.C. § 371 national stage filing of International Application No. PCT/IN2013/000007, filed on Jan. 4, 2013, which claims priority to Indian Patent Application Serial No. 30/MUM/2012, filed on Jan. 5, 2012, the entire contents of each of which are incorporated herein by reference.
The present invention generally relates to receivers for coherent optical data transmission systems and more particularly to a method of recovering transmitted data by processing signals in electronic domain.
Optical communication links have to employ polarization multiplexing and coherent modulation & detection for increasing data rates in optical transport systems. Coherent links carrying more than 100-Gbps over single optical carrier have been demonstrated till date. Typically, receivers for coherent, polarization multiplexed transmission systems use ultra-fast ADCs (analog-to-digital converters) that convert electrical signals to the digital domain. These signals are then jointly processed using digital signal processors (DSPs) to recover the transmitted data.
In prior art, digitization of such high-speed signals is extremely difficult. Once the digitization is done, processing of these signals is also very challenging, since massive amount of computation is required to meet the extremely high throughput rates for real-time operation. Digitization of the signals obtained at the receivers of high-speed coherent optical links is extremely difficult because of the large bandwidth required for this purpose. High-speed ADCs add significant overheads in terms of power consumption, design complexity, chip area and cost.
In the view of the foregoing, there is a need for a receiver for processing data signals in coherent transmission system, in analog domain itself, without first converting them to digital domain using high-speed ADCs.
The present invention discloses a receiver for coherent optical transport systems based on analog signal processing and the method of recovering transmitted data by processing signals in electronic domain. In the present invention, high-speed electrical signals obtained from optical-to-electrical converters which carry transmitted data information in a coherent transport system are jointly processed in analog domain itself without converting these signals to the digital domain using high speed ADCs. Different processing steps which may include carrier phase & frequency offset recovery and compensation, polarization mode dispersion and/or chromatic dispersion, clock & data recovery and deserialization may be performed while keeping the information signals in analog domain itself. The receiver in accordance with the present invention consumes significantly less power and has less chip area hence requires less space with significantly lower cost.
The present invention discloses a receiver for coherent optical transport systems based on analog signal processing and the method of recovering transmitted data by processing signals in electronic domain. The working of the receiver is explained in detail with reference to the accompanying drawings in accordance with an aspect of the present invention.
The high-speed complex electrical signals EX and EY) obtained from optical-to-electrical converters, which carry the transmitted data information in a coherent transport system, are jointly processed in the analog domain itself (without first conversion of these signals to the digital domain using high speed ADCs), as shown in
As shown in the block diagram of the receiver in
The description of analog processing modules is explained below in accordance with an aspect of the present invention.
Analog Signal Processing Equalizer:
Since chromatic dispersion (CD) and polarization mode dispersion (PMD) are linear in nature, they can easily be compensated using tapped delay line equalizers (that act as linear transversal filters). Linear equalizer primarily has three unit operations—delay, multiplication and addition. In analog domain, high-speed multiplication can easily be performed using a variable gain amplifier or a Gilbert cell with less than 10 transistors. Similarly, summation of signals can be performed by simply adding currents onto a resistor. In addition, filter coefficients can be represented by charge stored on capacitors.
For dual polarization signals, the multidimensional transversal filter used to equalize the linear dispersive effects can be described by the following equations:
{tilde over (x)}=hxxTx+hyxTy (1.1)
{tilde over (y)}=hxyTx+hyyTy (1.2)
Where,
x and y are column vectors of the delayed complex input electrical signals corresponding to two polarization channels {tilde over (x)} and {tilde over (y)} are the complex equalized outputs. hxx, hxy, hyx, hyy are the column vectors of the complex filter coefficients.
Update of Equalizer Coefficients:
The update of complex filter coefficients can be done using any of the adaptive signal processing algorithms. For example, update equations using least mean square algorithm (LMS) and constant modulus algorithm (CMA) are explained below.
Least Mean Square Algorithm:
The LMS update equations for complex coefficients of the multidimensional equalizer can be represented as:
hxx,k(t)=β∫tx(τ−kτd)·ex*(τ)·dτ (1.3)
hyx,k(t)=β∫ty(τ−kτd)·ex*(τ)·dτ (1.4)
hxy,k(t)=β∫tx(τ−kτd)·ey*(τ)·dτ (1.5)
hyy,k(t)=β∫ty(τ−kτd)·ey*(τ)·dτ (1.6)
where, x(t)=xI(t)+jxQ(t) & y(t)=yI(t)+jyQ(t) are input signals to the equalizer in X and Y polarizations, ex(t)=eIx(t)+jeQx(t) & ey(t)=eIy(t)+jeQy (t) are error signals in X and Y polarizations, Td is the delay provided by a delay stage, and 0≤k≤L. Here L is the number of delay stages per dimension of the equalizer. The real and imaginary parts of hxx,k(t) in Equation 1.3 are given by:
Re{hxx,k(t)}=β∫ι[xI(τ−kτd)·exI(τ)+xQ(τ−kτd)·exQ(τ)]dτ (1.7)
Im{hxx,k(t)}=β∫t[xQ(τ−kτd)·exI(τ)+xI(τ−kτd)·exQ(τ)]dτ (1.8)
Similarly, expression for other coefficients can also be determined.
Constant Modulus Algorithm:
The CMA update equations for complex coefficients of the multidimensional equalizer can be represented as:
hxx,k(t)=β∫tx(τ−kτd)·{tilde over (x)}*(τ)·(1−|{tilde over (x)}|2)·dτ (1.9)
hyx,k(t)=β∫ty(τ−kτd)·{tilde over (x)}*(τ)·(1−|{tilde over (x)}|2)·dτ (1.10)
hxy,k(t)=β∫tx(τ−kτd)·{tilde over (y)}*(τ)·(1−|{tilde over (y)}|2)·dτ (1.11)
hyy,k(t)=β∫ty(τ−kτd)·{tilde over (y)}*(τ)·(1−|{tilde over (y)}|2)·dτ (1.12)
where, x(t)=xI(t)+jxQ(t) & y(t)=y=(t)+jy(t) are input signals to the equalizer in X and Y polarizations, x˜ & ˜y are equalized signals in X and Y polarizations, Td is the delay provided by a delay stage, and 0≤k≤L. Here L is the number of delay stages per dimension of the equalizer.
Equalizer Architecture:
The equalizer can be implemented as a feed forward equalizer (FFE) or as a decision feedback equalizer (DFE). The description of FFE and DFE are explained below in detail.
Feed Forward Equalizer:
In the proposed invention joint equalization of the high-speed signals can be performed using a feed forward equalizer (FFE), which involves addition of the four high-speed analog signals (obtained from the photo-detectors) and their delayed versions (with different delays) with proper weight coefficients, in terms of voltages or currents. As a result, four new analog signals are obtained and are termed as equalizer outputs. Threshold detectors can be used on these signals to obtain the estimates of transmitted data symbols. The number of delay cells (and taps) can be varied depending on the requirement, and the figure just illustrates some examples.
Decision Feedback Equalizer:
In another embodiment of the present invention the joint equalization can also be performed using a decision feedback equalizer (DFE) with the analog processing method, as shown in
Decision feedback equalizer has both feed forward and feedback taps.
Weight coefficients required for adding the signals have to be obtained adaptively by another block in the equalizer (i.e. the Weight Coefficient Adjustment block) as shown in
Carrier Phase Recovery and Compensation:
In the present invention, the operation of carrier phase recovery and compensation is also performed in the analog domain. The four signals obtained from the equalizer, i.e. two each corresponding to the two orthogonal polarizations, are sent to two carrier phase recovery and correction blocks, each corresponding to one polarization. Architectures based on different algorithms, such as mth power method, reverse modulation technique, or Costas Loop can be employed for these blocks.
A Costas Loop based technique for Quadrature Phase Shift Keying (QPSK) modulation is shown in
The implementation of different blocks in of the carrier phase recovery module may be done completely in the analog domain. However, some components, such as the QVCO and the loop filter, can be implemented in the digital domain as well, although, the high speed data carrying signals are not digitized and remain in the analog domain only to avoid high speed ADCs and DSP. The threshold detection (or limiter) operation is not being considered as an ADC operation here (since the number of bits at the output of the threshold detector) is not more than the number of bits represented by the analog signal.
In the proposed receiver decision assisted version of Costas phase-locked loop (PLL) has been used for carrier phase recovery. The block diagram of carrier phase recovery is shown in
xI=cos(ϕoff(t)+ϕm(t)) (1.13)
xQ=sin(ϕoff(t)+ϕm(t)) (1.14)
where, Φoff (t)=(ws−wlo)t+Φ1−Φ2 is the resultant phase offset between the incoming carrier and the LO signal. The output of balanced detector is mixed with the local oscillator signal using a single side band (SSB) mixer. The output I and Q components of the SSB mixer are given as:
ISSB=cos(ϕm(t)+ϕerr(t)) (1.15)
QSSB=sin(ϕm(t)+ϕerr(t)) (1.16)
where, Φerr(t)=Φoff (t)−Φfb(t), which will be negligible once locking is achieved. Here, Φfb(t) is the phase of the quadrature voltage controlled oscillator (QVCO) outputs. Decisions are made on ISSB and QSSB and passed onto multipliers which will act as correlators. Difference between the product signals, ve=sin(Φerr(t)) is used to control frequency and phase of the QVCO after passing through a loop filter. If the error is very small, it can be approximated as Φerr(t). When QVCO is locked to the beat signal of carrier and local oscillator, the error voltage becomes zero, and the output of SSB mixer gives baseband signal without phase offsets.
In the present invention, it is not necessary that the equalizer block, the carrier phase recovery & compensation block, and the clock & data recovery block are placed sequentially in the flow the data signals. For example, as shown in
Depending on the amount of dispersion that needs to be compensated, the proposed analog receiver coherent receiver can have different forms as explained below.
Analog Coherent Receiver for Short Distance Links:
Architecture of the proposed analog coherent receiver is shown in
Where, Xα=Xα,I++j Xα,Q and Yα=Yα,I+j Yα,Q. the signals Xα and Yα are then fed to the CPR module.
The CPR module has two independent Costas loops—one for each polarization. Each of the incoming signals to the CPR module is passed through a single side band mixer (SSBM), where it is getting mixed with the quadrature signals (cos Φ and sin Φ) corresponding to the phase error Φ due to carrier phase & frequency offsets. Input signals to the SSBMs for X and Y polarizations can be represented as:
Xα=cos [ϕm,X(t)+ϕX(t)]+j sin [ϕm,X(t)+ϕX(t)]
Yα=cos [ϕm,Y(t)+ϕY(t)]+j sin [ϕm,Y(t)+ϕY(t)]
where, Φm,X(t) & Φm,Y(t) are the phases corresponding to the transmitted messages and ΦX(t) & Φy (t) are the phase errors in X and Y polarizations respectively. The in-phase and quadrature-phase signals at SSBM outputs are given as:
XI,SSBM=cos [ϕm,X(t)+ϕres,X(t)]
XQ,SSBM=sin [ϕm,X(t)+ϕres,X(t)]
YI,SSBM=cos [ϕm,Y(t)+ϕres,Y(t)]
YQ,SSBM=sin [ϕm,Y(t)+ϕres,Y(t)]
where, Φres,X and Φres,Y are the negligible residual phase errors in X and Y polarizations respectively.
Decision is made on the in-phase and quadrature-phase components of the SSBM outputs and fed to multipliers which act as cross-correlators. Phase error is calculated by subtracting the multiplier outputs and is passed through a loop filter to generate control voltage for quadrature voltage controlled oscillator (QVCO). A similar cross-correlator structure is used for finding the polarization rotation angle α.
The PR and CPR modules are essentially phase-locked loops (PLLs), the parameters of which can be optimized based on the dynamics of the system, such as laser line widths and speed of polarization rotation. The estimated signals X′ and Y′ corresponding to X and Y polarizations are passed on to a clock and data recovery (CDR) module which re-times (and deserializes) the transmitted data.
Analog Coherent Receiver with Equalizer for Longer Distance Links:
For longer distance optical links, where channel dispersion is significant, an equalizer need to be incorporated in the receiver. Two versions of such a receiver are described in detail with reference to the drawings in accordance with an aspect of the present invention.
Receiver with LMS Equalizer:
Receiver with CMA Equalizer:
CMA equalizer doesn't need decisions made on the signals for convergence. Hence, CMA equalizer can always be implemented as an FFE structure. An analog coherent receiver employing CMA equalizer is shown in
Number | Date | Country | Kind |
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30/MUM/2012 | Jan 2012 | IN | national |
Filing Document | Filing Date | Country | Kind |
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PCT/IN2013/000007 | 1/4/2013 | WO | 00 |
Publishing Document | Publishing Date | Country | Kind |
---|---|---|---|
WO2013/132513 | 9/12/2013 | WO | A |
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