CN107707310A - A kind of polarization demultiplexing and carrier phase recovery method based on adaptive Kalman - Google Patents
A kind of polarization demultiplexing and carrier phase recovery method based on adaptive Kalman Download PDFInfo
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- CN107707310A CN107707310A CN201710851125.9A CN201710851125A CN107707310A CN 107707310 A CN107707310 A CN 107707310A CN 201710851125 A CN201710851125 A CN 201710851125A CN 107707310 A CN107707310 A CN 107707310A
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- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04B—TRANSMISSION
- H04B10/00—Transmission systems employing electromagnetic waves other than radio-waves, e.g. infrared, visible or ultraviolet light, or employing corpuscular radiation, e.g. quantum communication
- H04B10/60—Receivers
- H04B10/61—Coherent receivers
- H04B10/616—Details of the electronic signal processing in coherent optical receivers
- H04B10/6162—Compensation of polarization related effects, e.g., PMD, PDL
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- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04B—TRANSMISSION
- H04B10/00—Transmission systems employing electromagnetic waves other than radio-waves, e.g. infrared, visible or ultraviolet light, or employing corpuscular radiation, e.g. quantum communication
- H04B10/60—Receivers
- H04B10/61—Coherent receivers
- H04B10/616—Details of the electronic signal processing in coherent optical receivers
- H04B10/6161—Compensation of chromatic dispersion
-
- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04B—TRANSMISSION
- H04B10/00—Transmission systems employing electromagnetic waves other than radio-waves, e.g. infrared, visible or ultraviolet light, or employing corpuscular radiation, e.g. quantum communication
- H04B10/60—Receivers
- H04B10/61—Coherent receivers
- H04B10/616—Details of the electronic signal processing in coherent optical receivers
- H04B10/6164—Estimation or correction of the frequency offset between the received optical signal and the optical local oscillator
-
- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04B—TRANSMISSION
- H04B10/00—Transmission systems employing electromagnetic waves other than radio-waves, e.g. infrared, visible or ultraviolet light, or employing corpuscular radiation, e.g. quantum communication
- H04B10/60—Receivers
- H04B10/61—Coherent receivers
- H04B10/616—Details of the electronic signal processing in coherent optical receivers
- H04B10/6165—Estimation of the phase of the received optical signal, phase error estimation or phase error correction
Abstract
The invention provides a kind of polarization demultiplexing and carrier phase recovery method based on adaptive Kalman, comprise the following steps：First, polarization demultiplexing and carrier phase recovery are carried out using extended Kalman filter；Secondly, the renewal of tuning parameter Q values is realized by the method for covariance matching, according to the average dz of surplus is measured come the convergence situation of decision algorithm, so as to instruct the renewal of tuning parameter Q values.The beneficial effects of the invention are as follows：The polarization aliasing and Carrier Phase Noise of coherent optical communication system can be handled simultaneously, its tuning parameter can be adapted to different values under different scenes, can to greatest extent boosting algorithm for polarization rotation and phase noise tolerance；At the same time, algorithm performance is unrelated with its initial tuning parameter Q, it is possible to achieve Fast Convergent and the excellent in performance estimated in high precision.
Description
Technical field
The present invention relates to optical communication field, more particularly to a kind of polarization demultiplexing and carrier wave phase based on adaptive Kalman
Bit recovery method.
Background technology
With the fast development of the technologies such as Pre 5G, data center and big data, people are for network traffic
It is required that increasingly increase severely, and the coherent light communication technology with advantages such as high-speed, Large Copacities is undoubtedly the pass for meeting this demand
One of key technology.In transmitting procedure, signal is easily by the random birefringence effects in optical fiber.And with modulation
The lifting of form, the Carrier Phase Noise as caused by laser linewidth will cause the drastically rotation of signal, so as to further deteriorate letter
Number quality.
In single carrier coherent optical communication system, signal polarization crosstalk caused by random birefringence and transceiver laser in optical fiber
Carrier Phase Noise caused by phase is inconsistent is one of major influence factors for deteriorating optical signal.For above-mentioned damage, tradition
Line under Digital Signal Processing scheme mainly have：CMA (Constant modulus algorithm) algorithm, VV (Viterbi-
Viterbi) algorithm, FFT (Fast Fourier Transformation) algorithm, BPS (Blind phase search) algorithm
With EKF (Extended Kalman filter, extended Kalman filter) algorithm.However, there is also some for these algorithms
Deficiency substantially, such as：CMA convergence rates are slow, VV line width tolerances are small, BPS computation complexities are high.With other algorithms pair
Than EKF algorithms have the characteristic such as high-speed convergence and high estimated accuracy, but its convergence rate and precision are seriously joined by its tuning
The influence of Q values is measured, traditional EKF is difficult to provide optimal solution in tracking accuracy and speed.
The content of the invention
In order to solve the problems of the prior art, the invention provides a kind of polarization demultiplexing based on adaptive Kalman
And carrier phase recovery method.
The invention provides a kind of polarization demultiplexing and carrier phase recovery method based on adaptive Kalman, including with
Lower step：
First, polarization demultiplexing and carrier phase recovery are carried out using extended Kalman filter；
Secondly, the renewal of tuning parameter Q values is realized by the method for covariance matching, according to measure surplus average dz come
The convergence situation of decision algorithm, so as to instruct the renewal of tuning parameter Q values.
As a further improvement on the present invention, the size of measurement surplus is detected in real time by a judgement detector, when
When the average dz of measurement surplus is less than critical value β, decision algorithm has been restrained this moment, hence for the renewal of tuning parameter Q values
Stop.
As a further improvement on the present invention, mended using clock recovery algorithm, dispersion/nonlinear compensation algorithm and frequency deviation
Repay algorithm compensation and receive the timing error of signal, dispersion/non-linear and system frequency deviation, afterwards, signal is simplified shown as：
Wherein, Zn,mn,hn,Ts,θn,ξnThe signal of n-th of reception, the signal of n-th of transmitting, signal transmission are represented respectively
Matrix, symbol period, Carrier Phase Noise and white Gaussian noise；
The state-space model of polarization demultiplexing and carrier phase recovery of the base based on adaptive Kalman represents as follows：
Sn=Sn-1+wn (2)
Un=HnZn+vn (3)
Wherein, equation (2)~(3) describe state equation and measurement equation respectively, and state parameter S can be expressed as Sn=[a
b c d θ]T, a, b, c, d are respectively 4 parameters of inverse channel Jones matrix, and θ is the Carrier Phase Noise of estimation, UnAnd HnPoint
Output and the calculation matrix of equation, and H Wei not measurednIt is expressed asW and v is respectively that process is made an uproar
Sound and measurement noise；
The main formulas of polarization demultiplexing and carrier phase recovery based on adaptive Kalman is summarized as follows：
Sn=ASn-1 (4)
Sn+1=Sn+Kdz (8)
Equation (4)~(8) be mainly used to calculate state parameter, priori covariance, kalman gain, posteriority covariance and
State parameter after renewal, wherein A are state transition matrixs, are expressed as 5 × 5 unit matrix, and Mn is that calculation matrix is linearized
Jacobian matrix afterwards, R and Q represent measurement error and process error respectively, and at the same time, tuning parameter Q determines expansion card
The estimated accuracy and tracking velocity of Thalmann filter.Dz is the average for measuring surplus, for instructing extended Kalman filter
Carry out the renewal of state parameter next time.
As a further improvement on the present invention, according to equation (2), process noise is expressed as：
wn=Sn+1-Sn=Kdz (9)
So as to tuning parameter QnIt is expressed as：
Wherein, E (*) is represented to seek desired value to *, and desired complexity is calculated in order to simplify, with forgetting factor α to previous
The Q of calculatingn-1With the Q of calculatingnDifferent weight factors it is expected required sliding window to replace calculating, so as to QnExpression formula write
Into：
Qn=α Qn-1+(1-α)Qn (11)
In order to ensure convergence of algorithm speed and estimated accuracy, a judgement detector is used to the surplus of detection measurement in real time
Size, when measure surplus average dz be less than critical value β when, decision algorithm has been restrained this moment, and the renewal hence for Q stops
Only, so as to QnExpression formula be rewritten as：
The beneficial effects of the invention are as follows：By such scheme, the polarization aliasing of coherent optical communication system can be handled simultaneously
And Carrier Phase Noise, its tuning parameter can be adapted to different values under different scenes, can be lifted to greatest extent
Algorithm is for polarization rotation and the tolerance of phase noise；At the same time, algorithm performance is unrelated with its initial tuning parameter Q, can
With the excellent in performance realized Fast Convergent and estimated in high precision.
Brief description of the drawings
Fig. 1 is a kind of flow of polarization demultiplexing and carrier phase recovery method based on adaptive Kalman of the present invention
Figure.
Fig. 2 is 14GS/s 16QAM coherent optical communication system schematic diagrames.
Fig. 3 is the convergent Q values curve maps of AKF under the different polarization speed of rotation.
Fig. 4 is the polarization tracking curve of AKF and EKF under different Q value.
Fig. 5 is that AKF results of property compares figure, (a) before processing planisphere, (b) place under the 1Mrad/s polarization speeds of rotation
Planisphere after reason, the Carrier Phase Noise of (c) estimation, the Jones matrix parameter of (d) estimation.
Embodiment
The invention will be further described for explanation and embodiment below in conjunction with the accompanying drawings.
A kind of polarization demultiplexing and carrier phase recovery method based on adaptive Kalman, system model and principle are：
First, letter is received using the compensation of clock recovery algorithm, dispersion/nonlinear compensation algorithm and frequency deviation backoff algorithm
Number timing error, dispersion/non-linear and system frequency deviation.Afterwards, we can be expressed as what signal simplified：
Wherein, Zn,mn,hn,Ts,θn,ξnThe signal of n-th of reception, the signal of n-th of transmitting, signal transmission are represented respectively
Matrix, symbol period, Carrier Phase Noise and white Gaussian noise.
State-space model based on EKF polarization demultiplexings and carrier phase recovery can represent as follows：
Sn=Sn-1+wn (2)
Un=HnZn+vn (3)
Wherein, equation (2)~(3) describe state equation and measurement equation respectively.State parameter S can be expressed as Sn=[a
b c d θ]T, a, b, c, d are respectively 4 parameters of inverse channel Jones matrix, and θ is the Carrier Phase Noise of estimation.UnAnd HnPoint
Output and the calculation matrix of equation Wei not measured.And HnIt can be expressed asW and v were respectively
Journey noise and measurement noise.
The main formulas of polarization demultiplexing and carrier auxiliary based on EKF can be summarized as follows：
Sn=ASn-1 (4)
Sn+1=Sn+Kdz (8)
Equation (4) to (8) be mainly used to calculate state parameter, priori covariance, kalman gain, posteriority covariance and
State parameter after renewal.Wherein A is state transition matrix, can be expressed as 5 × 5 unit matrix.Mn is to calculation matrix line
Jacobian matrix after property.R and Q represent measurement error and process error respectively.At the same time, Q also determines EKF's simultaneously
Estimated accuracy and tracking velocity.Dz is the average for measuring surplus, for instructing Kalman filter to carry out next next state ginseng
The renewal of amount.
In order to track the polarization speed of rotation of more high speed and improve the tolerance for laser linewidth, it is necessary to which finding one kind can
To change tuning parameter Q adaptive Kalman algorithm in real time.
A kind of polarization demultiplexing and carrier phase recovery method based on adaptive Kalman mainly include two parts：
EKF and tuning parameter update module.First, polarization demultiplexing and carrier phase recovery are carried out using EKF.Secondly, covariance
The method of matching realizes the renewal of Q values, according to the average dz of measurement surplus come the convergence situation of decision algorithm, so as to instruct tuning
The renewal of parameter Q values.
According to equation (2), process noise can be expressed as：
wn=Sn+1-Sn=Kdz (9)
So as to tuning parameter QnIt can be expressed as：
Wherein, E (*) represents to seek desired value to *.Desired complexity is calculated in order to simplify, with forgetting factor α to previous
The Q of calculatingn-1With the Q of calculatingnDifferent weight factors it is expected required sliding window to replace calculating.So as to QnExpression formula can
To be write as：
Qn=α Qn-1+(1-α)Qn (11)
In order to ensure convergence of algorithm speed and estimated accuracy, a judgement detector is used to the surplus of detection measurement in real time
Size, when measure surplus average dz be less than critical value β when, decision algorithm has been restrained this moment, and the renewal hence for Q stops
Only.So as to QnExpression formula can be rewritten as：
So far, the polarization demultiplexing based on adaptive Kalman and carrier phase recovery algorithm have been described above finishing, can be with
With equation (4), (6) to (8) and (11) to (12) to carry out it main sign.Its basic framework figure is as shown in Figure 1.
A kind of polarization demultiplexing and carrier phase recovery method based on adaptive Kalman provided by the invention, Ke Yitong
When handle the polarization aliasing and Carrier Phase Noise of coherent optical communication system, its tuning parameter can be adaptive under different scenes
To different values, can to greatest extent boosting algorithm for polarization rotation and the tolerance of phase noise.At the same time, algorithm
Performance is unrelated with its initial tuning parameter Q, it is possible to achieve Fast Convergent and the excellent in performance estimated in high precision.
Fig. 2 be it is provided in an embodiment of the present invention be a coherent light communication experimental model, idiographic flow is as follows：
14GS/s electric drive signal is generated in AWG, for driving optics I/Q modulators.In order to realize palarization multiplexing skill
Art, PBS is used for modulation light being divided into orthogonal two paths of signals light, and wherein postpones all the way by 4ns.Local oscillator light and flashlight
In optical receiver clock beat frequency, for reception signal.In receiving terminal, signal is believed by orthogonalization, resampling, timing and dynamic
Trace equalization is used for carrying out resampling, compensating timing error and PMD effects.Part signal does polarization demultiplexing by CMA and FFT
With computing system frequency deviation.Obtained signal frequency deviation is used for thermal compensation signal frequency deviation.When only existing the signal of phase noise, pass through number
Word signal processed offline technology adds dynamic polarization rotation effect.AKF algorithms are used for the polarization and carrier phase of thermal compensation signal.
Shown in Fig. 3, the convergence Q values of two parameters of polarization and phase of AKF under the different polarization speed of rotation.In order to fully contrast
AKF and EKF polarization tracking ability, Qabcd are arranged to [5E-4,1E-4,1E-5], and Qphase is arranged to 5e-5.AKF and EKF
Polarization tracking performance curve as shown in figure 4, EKF tracking performance receives having a great influence for Q values, and following rate is relatively
It is low.AKF tracking performance is more stable, while also has higher polarization tracking ability.By the constellations of AKF before and after the processing
Figure, the polarization parameter and phase noise estimated are as shown in Figure 5.Test result indicates that：AKF has good polarization tracking
Ability, and its performance is unrelated with tuning parameter Q values.At the same time, experimental result is relatively coincide with theory analysis, thus may be used
See, AKF has a good application prospect in the dynamic optical network in future.
Above content is to combine specific preferred embodiment further description made for the present invention, it is impossible to is assert
The specific implementation of the present invention is confined to these explanations.For general technical staff of the technical field of the invention,
On the premise of not departing from present inventive concept, some simple deduction or replace can also be made, should all be considered as belonging to the present invention's
Protection domain.
Claims (4)
1. a kind of polarization demultiplexing and carrier phase recovery method based on adaptive Kalman, it is characterised in that including following
Step：
First, polarization demultiplexing and carrier phase recovery are carried out using extended Kalman filter；
Secondly, the renewal of tuning parameter Q values is realized by the method for covariance matching, is adjudicated according to the average dz of measurement surplus
Convergence of algorithm situation, so as to instruct the renewal of tuning parameter Q values.
2. polarization demultiplexing and carrier phase recovery method according to claim 1 based on adaptive Kalman, it is special
Sign is：The size of measurement surplus is detected in real time by a judgement detector, when the average dz of measurement surplus is less than critical
During value β, decision algorithm has been restrained this moment, and the renewal hence for tuning parameter Q values stops.
3. polarization demultiplexing and carrier phase recovery method according to claim 1 based on adaptive Kalman, it is special
Sign is：
The timing of signal is received using the compensation of clock recovery algorithm, dispersion/nonlinear compensation algorithm and frequency deviation backoff algorithm
Error, dispersion/non-linear and system frequency deviation, afterwards, signal is simplified shown as：
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Wherein, Zn,mn,hn,Ts,θn,ξnRepresent the signal of n-th of reception respectively, the signal of n-th of transmitting, signal transmission matrix,
Symbol period, Carrier Phase Noise and white Gaussian noise；
The state-space model of polarization demultiplexing and carrier phase recovery based on adaptive Kalman represents as follows：
Sn=Sn-1+wn (2)
Un=HnZn+vn (3)
Wherein, equation (2)~(3) describe state equation and measurement equation respectively, and state parameter S can be expressed as Sn=[a b c
d θ]T, a, b, c, d are respectively 4 parameters of inverse channel Jones matrix, and θ is the Carrier Phase Noise of estimation, UnAnd HnRespectively
Measure output and the calculation matrix of equation, and HnIt is expressed asW and v be respectively process noise and
Measurement noise；
The main formulas of polarization demultiplexing and carrier phase recovery based on adaptive Kalman is summarized as follows：
Sn=ASn-1 (4)
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Sn+1=Sn+Kdz (8)
Equation (4)~(8) are mainly used to calculate state parameter, priori covariance, kalman gain, posteriority covariance and renewal
State parameter afterwards, wherein A are state transition matrixs, are expressed as 5 × 5 unit matrix, and Mn is after being linearized to calculation matrix
Jacobian matrix, R and Q represent measurement error and process error respectively, and at the same time, tuning parameter Q determines spreading kalman
The estimated accuracy and tracking velocity of wave filter.Dz is the average for measuring surplus, for instructing extended Kalman filter to carry out
The renewal of state parameter next time.
4. polarization demultiplexing and carrier phase recovery method according to claim 3 based on adaptive Kalman, it is special
Sign is：
According to equation (2), process noise is expressed as：
wn=Sn+1-Sn=Kdz (9)
So as to tuning parameter QnIt is expressed as：
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Wherein, E (*) represents to seek desired value to *, calculates desired complexity to simplify, previous calculating is given with forgetting factor α
Qn-1With the Q of calculatingnDifferent weight factors it is expected required sliding window to replace calculating, so as to QnExpression formula write as：
Qn=α Qn-1+(1-α)Qn (11)
In order to ensure convergence of algorithm speed and estimated accuracy, a judgement detector is used to the big of the surplus of detection measurement in real time
Small, when the average dz for measuring surplus is less than critical value β, decision algorithm has been restrained this moment, and the renewal hence for Q stops,
So as to QnExpression formula be rewritten as：
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Cited By (9)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN109000782A (en) * | 2018-09-27 | 2018-12-14 | 哈尔滨工程大学 | A kind of ellipse fitting non-linear error calibration method based on Kalman filtering |
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| CN109217934A (en) * | 2018-09-20 | 2019-01-15 | 哈尔滨工业大学（深圳） | A kind of polarization demultiplexing algorithm based on maximum likelihood independent component analysis method |
| CN109000782A (en) * | 2018-09-27 | 2018-12-14 | 哈尔滨工程大学 | A kind of ellipse fitting non-linear error calibration method based on Kalman filtering |
| CN110011733A (en) * | 2019-03-25 | 2019-07-12 | 华中科技大学 | A kind of depolarization multiplexing method and system based on factor of momentum |
| CN110011733B (en) * | 2019-03-25 | 2020-10-16 | 华中科技大学 | Method and system for depolarization multiplexing based on momentum factor |
| CN110098875A (en) * | 2019-05-07 | 2019-08-06 | 北京邮电大学 | Adaptive equilibrium method, device, electronic equipment and medium in optical fiber telecommunications system |
| CN110266388B (en) * | 2019-06-18 | 2020-09-04 | 北京邮电大学 | PMD (polarization mode dispersion) equalization method and device, electronic equipment and storage medium |
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| CN110445610B (en) * | 2019-08-26 | 2021-11-30 | 上海循态量子科技有限公司 | Polarization tracking method, system and medium for continuous variable quantum key distribution system |
| CN112737547A (en) * | 2020-12-18 | 2021-04-30 | 北京邮电大学 | Kalman filtering based signal compensation method and device |
| CN114563045A (en) * | 2022-02-28 | 2022-05-31 | 南京天溯自动化控制系统有限公司 | Detection method and device for hospital logistics system, electronic equipment and medium |
| CN114915350A (en) * | 2022-05-10 | 2022-08-16 | 哈尔滨工业大学（深圳） | Low-complexity polarization rotation and carrier phase cooperative recovery method |
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