CN106452594A - Improved polarization mode dispersion compensation method based on radius oriented equalizer - Google Patents

Improved polarization mode dispersion compensation method based on radius oriented equalizer Download PDF

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CN106452594A
CN106452594A CN201611056646.7A CN201611056646A CN106452594A CN 106452594 A CN106452594 A CN 106452594A CN 201611056646 A CN201611056646 A CN 201611056646A CN 106452594 A CN106452594 A CN 106452594A
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tap coefficient
coefficient values
values vector
initial tap
vector
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CN106452594B (en
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李蔚
韩纪龙
余少华
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Wuhan Research Institute of Posts and Telecommunications Co Ltd
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Wuhan Research Institute of Posts and Telecommunications Co Ltd
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    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04BTRANSMISSION
    • H04B10/00Transmission systems employing electromagnetic waves other than radio-waves, e.g. infrared, visible or ultraviolet light, or employing corpuscular radiation, e.g. quantum communication
    • H04B10/25Arrangements specific to fibre transmission
    • H04B10/2507Arrangements specific to fibre transmission for the reduction or elimination of distortion or dispersion
    • H04B10/2569Arrangements specific to fibre transmission for the reduction or elimination of distortion or dispersion due to polarisation mode dispersion [PMD]
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04LTRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L27/00Modulated-carrier systems
    • H04L27/01Equalisers

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  • Engineering & Computer Science (AREA)
  • Computer Networks & Wireless Communication (AREA)
  • Signal Processing (AREA)
  • Physics & Mathematics (AREA)
  • Electromagnetism (AREA)
  • Optical Communication System (AREA)
  • Digital Transmission Methods That Use Modulated Carrier Waves (AREA)

Abstract

The invention provides an improved polarization mode dispersion compensation method based on a radius oriented equalizer, and relates to coherent optical fiber communication technology. The method comprises the following steps: S1, dividing a 16QAM standard constellation diagram into three circles, calculating decision thresholds th1 and th2, wherein th1 = R1 + (1 - r) R2/2, th2 = R3 + (1 + R) R2/2, the squared values of the radiuses of the three circles are separately R1, R2 and R3, and r is not smaller than 0.06 and is not greater than 0.5; S2, setting an input signal vector of the radius oriented equalizer as Y (n), setting a tap coefficient vector as W (n), avd calculating an output signal Z (n); S3, calculating an error function according to different circles where | Z (n) | 2 is located; and S3, calculating the tap coefficient vector of every update according to the error function; and substituting the tap coefficient vector of every update in S2, and achieving polarization mode dispersion continuous compensation on the output signal Z (n) for different n value increases. By adoption of the improved polarization mode dispersion compensation method provided by the invention, the compensation effect can be improved.

Description

A kind of improved Polarization Mode Dispersion Compensation for being oriented to equalizer based on radius
Technical field
The present invention relates to coherent fiber communication technical field, is specifically related to a kind of improved based on radius guiding equalizer Polarization Mode Dispersion Compensation.
Background technology
In high speed coherent fiber communication system, in order to improve transmission capacity and transmission range, need to add in receiving terminal Digital Signal Processing (DSP, Digital Signal Processing) algorithm, the various damages for coming in compensated optical fiber.Wherein, For optical fiber in the compensation of polarization mode dispersion, time-domain equalizer is typically adopted, equal come control break by calculating error function The tap coefficient of weighing apparatus, so as to realize to signal polarization mode chromatic dispersion compensation, error function is less, and compensation effect is better.
Polarization mode dispersion (PMD) compensation algorithm typically adopts transverse mode algorithm (CMA, Constant Modulus Algorithm), but For higher order modulation formats, such as 16 rank quadrature amplitudes (16QAM, 16-aryquadrature amplitude modulation), With multiple modulus value, if directly adopting CMA algorithm, error function can be made to be not zero.In order to carry out polarization mode to 16QAM signal Dispersion compensation, it is thus proposed that actionradius are oriented to equalizer, i.e., first carry out judging a point circle to signal, the signals of different circles with not It is compared with modulus value, so as to obtain error function, the error function for so obtaining theoretically is attributed to null value.
But actionradius are oriented to equalizer when there is polarization mode dispersion, amplitude is judged to be possible to erroneous judgement occur, A point circle mistake is caused, so as to cause error function to be not zero, compensation effect is inadequate.
Content of the invention
For defect present in prior art, it is an object of the invention to provide a kind of improved equal based on radius guiding The Polarization Mode Dispersion Compensation of weighing apparatus, carries out polarization mode dispersion (PMD) compensation to 16QAM signal, and error function is carried close to null value High compensation effect.
For reaching object above, the present invention takes a kind of improved polarization mode dispersion (PMD) compensation for being oriented to equalizer based on radius Method, including step:
S1. 16QAM standard planisphere is divided into three circles, calculates point two decision threshold th1 of circle and th2, a th1=[R1+ (1-r) R2]/2, th2=[R3+ (1+r) R2]/2, wherein, the radius squared value of three circles is respectively R1, R2 and R3, and r is control The parameter of area size, 0.06≤r≤0.5 shared by mesosphere processed;
S2. set radius be oriented to equalizer input signal vector be Y (n), tap coefficient vector be W (n), output signal Z N ()=conv { Y (n), W (n) }, wherein, conv represents convolution algorithm, and n is the integer more than or equal to 0;
S3. calculation error function e (n), if | Z (n) |2≤ th1, then error function e (n)=| Z (n) |2- R1;If th1<| Z(n)|2<Th2, then error function e (n)=| Z (n) |2- R2;If | Z (n) |2>=th2, then error function e (n)=| Z (n) |2- R3;
S4. using gradient descent method, tap coefficient vector, W (n+1)=W (n)-μ Y* (n) z are updated according to error function N () e (n), wherein, W (n+1) is the tap coefficient vector for updating each time, and μ is conjugation of iteration step length, the Y* (n) for y (n); Tap coefficient vector after updating every time is brought into S2, different n values is increased, realizes the polarization mode color of output signal Z (n) Scattered Continuous Compensation.
On the basis of technique scheme, in the S1, the difference according to 16QAM complex signal amplitude divides circle, and r takes Value is relevant with signal to noise ratio, and the value of r is improved with the increase of noise.
On the basis of technique scheme, in the S2, during n=0, radius is oriented to the original input signal amount of equalizer For Y (0), initial tap coefficient values vector is that the length of W (0), W (0) is equal to tap number, then radius is oriented to the initially defeated of equalizer Go out signal Z (0)=conv { Y (0), W (0) }.
On the basis of technique scheme, the error function of Initial output signal is calculated, if | Z (0) |2≤ th1, then miss Difference function e (0)=| Z (0) |2- R1;If th1<|Z(0)|2<Th2, then error function e (0)=| Z (0) |2- R2;If | Z (0) |2>=th2, then error function e (0)=| Z (0) |2- R3.
On the basis of technique scheme, after the error function of Initial output signal draws, in the S3, using gradient Descent method, renewal tap coefficient, W (0+1)=W (0)-μ Y* (0) z (0) e (0), wherein, it is Y (0) that μ is iteration step length, Y* (0) Conjugation;S2 is proceeded to again, and when calculating n=1, radius is oriented to the output signal of equalizer.
On the basis of technique scheme, parameter r=0.1, μ=6 × 10^ (- 6).
The beneficial effects of the present invention is:A point circle threshold value is redefined, polarization mode color is carried out to 16QAM signal When dissipating compensation, under different state of signal-to-noise, when r takes 0.06 to 0.5, the bit error rate (BER, Bit Error Rate) compares Little, radius is oriented to the better performances of equalizer, is oriented to equalizer algorithm with respect to traditional radius, and error function of the present invention is close to In null value, compensation effect is improve.
Description of the drawings
Fig. 1 is point circle schematic diagram of 16QAM standard planisphere in prior art;
Fig. 2 is point circle schematic diagram of embodiment of the present invention 16QAM standard planisphere;
When Fig. 3 carries out polarization mode dispersion (PMD) compensation for the embodiment of the present invention to 16QAM signal, under different state of signal-to-noise, r The relation schematic diagram of value and the bit error rate.
Specific embodiment
Below in conjunction with drawings and Examples, the present invention is described in further detail.
Polarization Mode Dispersion Compensation of the present invention based on radius guider, specifically includes step:
S1. according to the difference of 16QAM complex signal amplitude, 16QAM standard planisphere is divided into three circles, i.e. inner ring, centre Circle and outer ring, calculate point two decision threshold th1 of circle and a th2.If the radius squared value of tri- circles of 16QAM is respectively R1, R2 And R3, then th1=[R1+ (1-r) R2]/2, th2=[R3+ (1+r) R2]/2, wherein, r region shared by control mesosphere is big Little parameter, the value of r is relevant with signal to noise ratio, and when noise is larger, the value of r should be improved, and r is 0.06≤r in span ≤0.5.As shown in figure 1, for point circle schematic diagram of 16QAM standard planisphere in prior art, d1For between threshold value th1 and th2 Distance;As shown in Fig. 2 for point circle schematic diagram of embodiment 16QAM standard planisphere, d2For between threshold value th1 and th2 away from From;Span according to r in the present embodiment, it is seen that d2More than d1.
S2. set radius be oriented to equalizer input signal vector be Y (n), tap coefficient vector be W (n), output signal Z N ()=conv { Y (n), W (n) }, wherein, conv represents convolution algorithm, and n is the integer more than or equal to 0, n=0,1,2 ... n.
S3. the calculating of error function e (n):If | Z (n) |2≤ th1, then error function e (n)=| Z (n) |2- R1;If th1 <|Z(n)|2<Th2, then error function e (n)=| Z (n) |2- R2;If | Z (n) |2>=th2, then error function e (n)=| Z (n) |2- R3.
S4. using gradient descent method, tap coefficient vector is updated according to error function:W (n+1)=W (n)-μ Y* (n) z N () e (n), wherein, W (n+1) is the tap coefficient vector for updating each time, and μ is conjugation of iteration step length, the Y* (n) for Y (n). Tap coefficient vector after updating each time is brought into step S2, different n values is increased, realizes the inclined of output signal Z (n) Polarization mode dispersion Continuous Compensation.
In above-mentioned steps, in more detail, n=0 when initial, in step S2, radius is oriented to the original input signal of equalizer Measure as Y (0), initial tap coefficient values vector is typically set to [00 ... 010 ... 00] for W (0), W (0), the length of W (0) is equal to tap Number, then the Initial output signal that radius is oriented to equalizer is Z (0)=conv { Y (0), W (0) }, and wherein Z (0) is initial output Signal.
Then the error function e (0) of Initial output signal, in step S3, is calculated, if | Z (0) |2≤ th1, then error function E (0)=| Z (0) |2- R1;If th1<|Z(0)|2<Th2, then error function e (0)=| Z (0) |2- R2;If | Z (0) |2≥ Th2, then error function e (0)=| Z (0) |2- R3.
In step S4, according to the error function e (0) of the Initial output signal for obtaining, using gradient descent method, tap is updated Coefficient, W (0+1)=W (0)-μ Y* (0) z (0) e (0), i.e.,:W (1)=W (0)-μ Y* (0) z (0) e (0).Wherein, μ is iteration step Long, Y* (0) is the conjugation of Y (0).
Then, step S2 is proceeded to, then when n=1 is calculated, radius is oriented to the output signal of equalizer, and then obtains error letter Number e (1), preferred parameter r=0.1, μ=6 × 10^ (- 6);Tap coefficient being updated further according to gradient descent method, proceeds to again S2, calculates n=2, and until calculating to n-th output signal, in this process, polarization mode dispersion is continuously mended Repay.
In PMD (Polarization Mode Dispersion, polarization mode dispersion) phantom, the baud rate of signal For 32GBaud/s, it is considered to worst case, if signal state of polarization is 45 degree with the angle of principal state of polarization (psp), the group of two principal state of polarization (psp) Time delay is 10 psecs.The total length of data takes 2^19, and removes 10000 not converged data points of beginning, then calculates BER (Bit Error Rate, the bit error rate).
As shown in figure 3, for 16QAM signal under these conditions, using polarization mode color of the present invention based on radius guider During scattered compensation method, in the case of different SNR (signal to noise ratio), the value of r and the curve linear relationship of BER.Wherein r=0 is existing skill In art, radius is oriented to the polarization mode dispersion (PMD) compensation algorithm of equalizer, and as seen from Figure 3, during r=0, BER is larger, and radius is oriented to Equalizer performance is bad, and when r takes the present invention 0.06 to 0.5, BER is less, and it is preferable that radius is oriented to equalizer performance.
The present invention is not limited to above-mentioned embodiment, for those skilled in the art, without departing from On the premise of the principle of the invention, some improvements and modifications can also be made, these improvements and modifications are also considered as the protection of the present invention Within the scope of.The content not being described in detail in this specification belongs to prior art known to professional and technical personnel in the field.

Claims (6)

1. a kind of improved based on radius be oriented to equalizer Polarization Mode Dispersion Compensation, it is characterised in that including step:
S1. 16QAM standard planisphere is divided into three circles, calculates point two decision threshold th1 of circle and th2, a th1=[R1+ (1- R) R2]/2, th2=[R3+ (1+r) R2]/2, wherein, the radius squared value of three circles is respectively R1, R2 and R3, and r is in control Between the shared area size of circle parameter, 0.06≤r≤0.5;
S2. set radius be oriented to equalizer input signal vector be Y (n), tap coefficient vector be W (n), output signal Z (n)= Conv { Y (n), W (n) }, wherein, conv represents convolution algorithm, and n is the integer more than or equal to 0;
S3. calculation error function e (n), if | Z (n) |2≤ th1, then error function e (n)=| Z (n) |2- R1;If th1<|Z(n) |2<Th2, then error function e (n)=| Z (n) |2- R2;If | Z (n) |2>=th2, then error function e (n)=| Z (n) |2- R3;
S4. using gradient descent method, tap coefficient vector, W (n+1)=W (n)-μ Y are updated according to error function*(n)z(n)e N (), wherein, W (n+1) is the tap coefficient vector for updating each time, and μ is iteration step length, Y*N () is the conjugation of Y (n);Will be per Tap coefficient vector after secondary renewal brings S2 into, increases for different n values, realizes the polarization mode dispersion of output signal Z (n) even Continuous compensation.
2. as claimed in claim 1 improved based on radius be oriented to equalizer Polarization Mode Dispersion Compensation, it is characterised in that: In the S1, the difference according to 16QAM complex signal amplitude divides circle, and the value of r is relevant with signal to noise ratio, and the value of r is with noise Increase and improve.
3. as claimed in claim 1 improved based on radius be oriented to equalizer Polarization Mode Dispersion Compensation, it is characterised in that: In described S2, when n=0, it is Y (0) that radius is oriented to the original input signal amount of equalizer, and initial tap coefficient values vector is W (0), W, and initial tap coefficient values vector is W (0), W, and initial tap coefficient values vector is W (0), W, and initial tap coefficient values vector is W (0), W, and initial tap coefficient values vector is W (0), W, and initial tap coefficient values vector is W (0), W, and initial tap coefficient values vector is W (0), W, and initial tap coefficient values vector is W (0), W, and initial tap coefficient values vector is W (0), W, and initial tap coefficient values vector is W (0), W, and initial tap coefficient values vector is W (0), W, and initial tap coefficient values vector is W (0), W, and initial tap coefficient values vector is W (0), W, and initial tap coefficient values vector is W (0), W, and initial tap coefficient values vector is W (0), W, and initial tap coefficient values vector is W (0), W, and initial tap coefficient values vector is W (0), W, and initial tap coefficient values vector is W (0), W, and initial tap coefficient values vector is W (0), W, and initial tap coefficient values vector is W (0), W, and initial tap coefficient values vector is W (0), W, and initial tap coefficient values vector is W (0), W, and initial tap coefficient values vector is W (0), W, and initial tap coefficient values vector is W (0), W, and initial tap coefficient values vector is W (0), W, and initial tap coefficient values vector is W (0), W, and initial tap coefficient values vector is W (0), W, and initial tap coefficient values vector is W (0), W, and initial tap coefficient values vector is W (0), W, and initial tap coefficient values vector is W (0), W, and initial tap coefficient values vector is W (0), W, and initial tap coefficient values vector is W (0), W, and initial tap coefficient values vector is W (0), W, and initial tap coefficient values vector is W (0), W, and initial tap coefficient values vector is W (0), W, and initial tap coefficient values vector is W (0), W, and initial tap coefficient values vector is W (0), W, and initial tap coefficient values vector is W (0), W, and initial tap coefficient values vector is W (0), W, and initial tap coefficient values vector is W (0), W, and initial tap coefficient values vector is W (0), W, and initial tap coefficient values vector is W (0), W, and initial tap coefficient values vector is W (0), W, and initial tap coefficient values vector is W ( (0) length is equal to tap number, then radius is oriented to Initial output signal Z (the 0)=conv { Y (0), W (0) } of equalizer.
4. as claimed in claim 3 improved based on radius be oriented to equalizer Polarization Mode Dispersion Compensation, it is characterised in that: The error function of Initial output signal is calculated, if | Z (0) |2≤ th1, then error function e (0)=| Z (0) |2- R1;If th1<|Z (0)|2<Th2, then error function e (0)=| Z (0) |2- R2;If | Z (0) |2>=th2, then error function e (0)=| Z (0) |2- R3.
5. as claimed in claim 4 improved based on radius be oriented to equalizer Polarization Mode Dispersion Compensation, it is characterised in that: After the error function of Initial output signal draws, in the S3, using gradient descent method, tap coefficient, W (0+1)=W is updated (0)-μY*(0) z (0) e (0), wherein, μ is iteration step length, Y*(0) it is the conjugation of Y (0);S2 is proceeded to again, when calculating n=1, radius It is oriented to the output signal of equalizer.
6. as described in arbitrary in claim 1 to 5 improved based on radius be oriented to equalizer Polarization Mode Dispersion Compensation, its It is characterised by:Parameter r=0.1, μ=6 × 10^ (- 6).
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CN105703838A (en) * 2016-01-26 2016-06-22 哈尔滨工业大学深圳研究生院 A coherent light receiver dynamic balancing method based on a butterfly linear Kalman filter
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* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US8234549B2 (en) * 2008-03-06 2012-07-31 Nec Laboratories America, Inc. Simultaneous PMD compensation and chromatic dispersion compensation using LDPC coded OFDM
US8320778B2 (en) * 2009-09-03 2012-11-27 At&T Intellectual Property I, L.P. Blind equalization algorithms for adaptive polarization recovery and PMD compensation
CN103684600A (en) * 2012-09-14 2014-03-26 富士通株式会社 Updating device and method for equalizer coefficients, receiver and optical communication system
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