CN110460551A - A kind of channel carrier phase recovery method based on least mean-square error - Google Patents
A kind of channel carrier phase recovery method based on least mean-square error Download PDFInfo
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- CN110460551A CN110460551A CN201910134793.9A CN201910134793A CN110460551A CN 110460551 A CN110460551 A CN 110460551A CN 201910134793 A CN201910134793 A CN 201910134793A CN 110460551 A CN110460551 A CN 110460551A
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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
- H04B10/6165—Estimation of the phase of the received optical signal, phase error estimation or phase error correction
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- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
- H04L27/00—Modulated-carrier systems
- H04L27/0014—Carrier regulation
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- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
- H04L27/00—Modulated-carrier systems
- H04L27/0014—Carrier regulation
- H04L2027/0024—Carrier regulation at the receiver end
- H04L2027/0026—Correction of carrier offset
Abstract
The invention discloses a kind of channel carrier phase recovery method based on least mean-square error, using the channel carrier phase recovery module based on least mean-square error.Through the above way, the present invention provides the channel carrier phase recovery methods based on least mean-square error, channel carrier phase recovery module refers to tradition VV phase estimation method, influence of the shake to carrier phase recovery of signal phase in estimating window has been effectively eliminated using minimum mean square error method, therefore, compared with conventional phase algorithm for estimating, this phase restoring module has higher tolerance to phase noise, furthermore, have benefited from the optimization to estimation coefficient, this phase restoring module effectively reduces influence of the long selection of window to phase recovery performance, improve system stability.
Description
Technical field
The present invention relates to optical communication system performance detection technical field more particularly to a kind of letters based on least mean-square error
Road carrier phase recovery method.
Background technique
With the development of internet technology, Internet communication data amount increasingly increases.In order to meet modern communications internet
Requirement to amount of communication data, the high speed coherent light communication technology based on high order modulation technique receive significant attention.However, high-order
The linear phase noise that modulation system generates laser in transmission process is very sensitive.Therefore, accurate phase estimation is
One of the key link of channel estimation in high speed optical communication system.
In the receiver of early stage optical communication system, phase estimation module mostly uses VV algorithm.Such algorithm is directed to phase tune
Signal processed is calculated by the index to signal, effectively eliminates the phase-modulation of signal, and then realize phase recovery.However it is such
Method is in order to simplify estimation procedure, it is assumed that module docking is carried out the phase of signal in the estimating window constructed after Time Domain Decomposition by signal
It is held essentially constant.Therefore, such method is when system is met with compared with strong phase noise or using high-order modulating, performance by
Limit.In addition, the hypothesis also results in the selection long in estimating window of VV phase estimation method limited performance.In practical applications, it is
Meet this it is assumed that the stability that phase estimation module selects shorter estimating window often to guarantee signal phase in window.However, right
For the lower system of signal-to-noise ratio, shorter estimating window can not effectively filter out white Gaussian noise, and then influence phase recovery
Performance.Therefore, in order to guarantee phase recovery performance, such method is before practical application, it usually needs excellent for current system
The window for changing phase estimation is long.Therefore, the scope of application of such method is extremely limited.
Summary of the invention
The invention mainly solves the technical problem of providing a kind of channel carrier phase recovery based on least mean-square error
Method fully considers the carrier phase of signal in estimating window through channel carrier phase recovery module during phase estimation
It floats.Therefore, phase recovery is effectively avoided in the process because of influence of the variation of estimating window length to estimated result, Jin Er great
The module is improved greatly to the tolerance of phase noise and the long selection of window, ensure that the stability of communication system.
In order to solve the above technical problems, one technical scheme adopted by the invention is that: it provides a kind of based on lowest mean square
The channel carrier phase recovery method of error, using the channel carrier phase recovery module based on least mean-square error, including with
Lower specific steps:
(1), channel carrier phase recovery module is placed in optical communication system, is needed signal-to-noise ratio detection module being placed in light before use and be led to
After photodetector, clock recovery module, dispersion compensation module and preposition channel estimation module that letter system connects；
(2), channel carrier phase recovery module carries out time-domain seperation to the electric signal that receives, construct with current time to
Centered on estimating signal, the symmetrical estimating window with certain length, and establish current estimation window signal and measured signal phase
Between theoretical model；
(3), using minimum mean square error method, the optimal estimation parameter under current estimating window is calculated, brings into theoretical model, estimates
The carrier phase for counting current time, carries out carrier auxiliary afterwards；
(4), translation estimating window repeats the above steps to subsequent time and restores the carrier phase of subsequent time, until signal terminates.
It in a preferred embodiment of the present invention, need to be with optic communication system when the channel carrier phase recovery module uses
System combines, and is placed in the receiver end of optical communication system rear end.
In a preferred embodiment of the present invention, the channel carrier phase recovery module to the electric signal received by
According to sequence carry out time-domain seperation, be each moment signal construct length be (2L+1), pair centered on the time-ofday signals
Claim estimating window, by estimating window it is all receive signal based on, calculate the carrier phase of the window center signal.
In a preferred embodiment of the present invention, the channel carrier phase recovery module introduces Damped Exponential Signal Model,
I.e.
WhereinIndicate signal sequence number,Indicate module of the present invention receives signal,It indicates
Emit client information,Indicate signal power,Indicate transmitting terminal phase-modulation,Indicate additive white Gaussian noise,Indicate carrier phase,It indicates Carrier Phase Noise and is proved to obey mean value to be 0
Variance isNormal distribution,For the 3-dB line width of transmitting terminal and receiving end laser,To receive signal
Period,It indicates influence of the additive white Gaussian noise to phase of received signal, and is proved to obey mean value to be that 0 variance isNormal distribution,For system signal noise ratio.
In a preferred embodiment of the present invention, the channel carrier phase recovery module refers to VV(Viterbi-
Viterbi) phase estimation method establishes phase estimation model to signal in current estimating window and phase to be estimated, i.e.,
Wherein,To eliminate the signal sequence in estimating window after phase-modulation, estimate as carrier phase
The input signal of meter.ForThe estimated value of moment carrier phase,ForMoment carrier wave plural number phase
The estimated value of position,For the estimation coefficient vector in current estimating window.
6. the channel carrier phase recovery method according to claim 1 based on least mean-square error, feature exist
In the channel carrier phase recovery module utilizes minimum mean square error method, i.e.,
WhereinIt is that length isCross correlation vector,It is for lengthAutocorrelation matrix, above formula writing
By solution above formula, can obtain:
According to above-mentioned Damped Exponential Signal Model, known in matrix R by calculating,
VectorIn,
Optimal estimation coefficient vector is substituted into above-mentioned phase estimation model, is calculated based on least-mean-square error algorithm, currently
The optimal carrier phase at moment is estimated, using the current time carrier phase estimated, carries out carrier phase recovery, i.e.,。
The beneficial effects of the present invention are: the channel carrier phase recovery method of the invention based on least mean-square error, is fitted
For the carrier phase recovery module of the violent dithering system of carrier phase, channel carrier phase recovery module refers to tradition VV phase
Estimation method has effectively eliminated the shake of signal phase in estimating window to carrier phase recovery using minimum mean square error method
Influence, therefore, compared with conventional phase algorithm for estimating, this phase restoring module has higher tolerance to phase noise, this
Outside, have benefited from the optimization to estimation coefficient, this phase restoring module effectively reduces the long selection of window to phase recovery performance
Influence, improve system stability.
Detailed description of the invention
To describe the technical solutions in the embodiments of the present invention more clearly, make required in being described below to embodiment
Attached drawing is briefly described, it should be apparent that, drawings in the following description are only some embodiments of the invention, for
For those of ordinary skill in the art, without creative efforts, it can also be obtained according to these attached drawings other
Attached drawing, in which:
Fig. 1 is coherent optical communication receiver basic framework figure in the prior art；
Fig. 2 is the groundwork flow chart element of the channel carrier phase recovery method in the present invention based on Minimum Mean Squared Error estimation
Figure；
Fig. 3 is the estimating window flow chart of phase restoring module Time Domain Decomposition building；
Fig. 4 is different degrees of influence schematic diagram of the phase noise to phase estimation performance in a specific example；
Fig. 5 is influence schematic diagram of the signal-to-noise ratio different degrees of in a specific example to phase estimation performance；
Fig. 6 is the long influence schematic diagram to phase estimation performance of different window in a specific example.
Specific embodiment
The technical scheme in the embodiments of the invention will be clearly and completely described below, it is clear that described implementation
Example is only a part of the embodiments of the present invention, instead of all the embodiments.Based on the embodiments of the present invention, this field is common
Technical staff's all other embodiment obtained without making creative work belongs to the model that the present invention protects
It encloses.
A kind of channel carrier phase recovery method based on least mean-square error, using the channel based on least mean-square error
Carrier phase recovery module, comprising the following specific steps
(1), channel carrier phase recovery module is placed in optical communication system, is needed signal-to-noise ratio detection module being placed in light before use and be led to
After photodetector, clock recovery module, dispersion compensation module and preposition channel estimation module that letter system connects；
(2), channel carrier phase recovery module carries out time-domain seperation to the electric signal that receives, construct with current time to
Centered on estimating signal, the symmetrical estimating window with certain length, and establish current estimation window signal and measured signal phase
Between theoretical model；
(3), using minimum mean square error method, the optimal estimation parameter under current estimating window is calculated, brings into theoretical model, estimates
The carrier phase for counting current time, carries out carrier auxiliary afterwards；
(4), translation estimating window repeats the above steps to subsequent time and restores the carrier phase of subsequent time, until signal terminates.
The mould channel carrier phase recovery module uses for reference tradition VV phase estimation algorithm structure, is calculated using least mean-square error
Method has effectively eliminated influence of the phase change in estimating window to phase estimation.Therefore, it is compared to traditional estimation side VV
Method, the method for the present invention have higher tolerance to phase noise.
Mould channel carrier phase recovery module need to be used in conjunction with optical communication receiver system.The present embodiment is connect with classical coherence
For receipts machine, the specific work steps of mould channel carrier phase recovery module is discussed in detail.As shown in Figure 1, classical coherence receives
Machine workflow generally comprises: Photoelectric Detection module, clock recovery module, dispersion compensation module, polarization demultiplexing module, frequency deviation
Compensating module, phase restoring module and signal demodulation module.Therefore, as shown in Fig. 2, mould channel carrier phase recovery module exists
In use, needing to be placed in receiver system after preposition channel estimation module.
After receiving signal, mould channel carrier phase recovery module does time-domain seperation to signal, construct it is as shown in Figure 3, with
Centered on current measured signal, the estimating window with certain length.Then, to receive signal in estimating window as input, draw
Enter Damped Exponential Signal Model, facilitates signal phase variation in analysis estimating window, i.e.,
(1)
WhereinIndicate signal sequence number,Indicate module of the present invention receives signal,It indicates
Emit client information,Indicate signal power,Indicate transmitting terminal phase-modulation,Indicate additive white Gaussian noise,Indicate carrier phase,It indicates Carrier Phase Noise and is proved to obey mean value to be 0
Variance isNormal distribution,For the 3-dB line width of transmitting terminal and receiving end laser,To receive signal
Period,It indicates influence of the additive white Gaussian noise to phase of received signal, and is proved to obey mean value to be that 0 variance isNormal distribution,For system signal noise ratio.
Tradition VV Phase Retrieve Algorithm is used for reference, mould channel carrier phase recovery module does index calculating to signal in estimating window
To eliminate phase-modulation.Amplitude normalization then is done to the result of exponent arithmetic, in order to subsequent phase estimation, i.e.,
(2)
According to traditional VV phase estimation method, mould channel carrier phase recovery module establishes current estimating window input signalWith the relational model between phase to be estimated, i.e.,
(3)
Wherein,To eliminate the signal sequence in estimating window after phase-modulation, estimate as carrier phase
The input signal of meter.ForThe estimated value of moment carrier phase,ForMoment carrier wave plural number phase
The estimated value of position,For the estimation coefficient vector in current estimating window.
Using Minimum Mean Squared Error estimation method, the optimal estimation coefficient vector of current estimating window is calculated, i.e.,
(4)
WhereinIt is that length isCross correlation vector,It is for lengthAutocorrelation matrix, formula (4) can simply write
(5)
By solving above formula (5), can obtain
(6)
According to formula (1) Damped Exponential Signal Model, known in matrix R by simple computation,
(7)
In vector P,
(8)
The optimal coefficient that formula (5) is calculated substitutes into formula (3), calculates the optimum angle estimation at current time.Then, using estimating
The current time carrier phase counted carries out carrier phase recovery, i.e.,
(9)
As shown in figure 4, having benefited from the estimation coefficient carried out for phase change that may be present in estimating window optimization, mould channel
Carrier phase recovery module has higher tolerance for phase noise.Even if system uses the laser with larger line width,
Mould channel carrier phase recovery module, which remains unchanged, can guarantee the reliability of carrier phase recovery.Fig. 5 is modulated with the QPSK of 50GS/s
For system, mould channel carrier phase recovery module is illustrated for the tolerance of signal-to-noise ratio.When the system signal noise ratio is greater than 4dB
When, accurate phase estimation can be realized in mould channel carrier phase recovery module.Fig. 6 illustrates mould by an example
Channel carrier phase recovery module estimates the relationship between performance and estimating window length.Longer window length can effectively be estimated in equilibrium
The white noise in window is counted, therefore improves phase estimation performance.After estimating window is long rises to certain length, phase estimation performance will
It remains unchanged.
In conclusion a kind of channel carrier phase recovery method based on least mean-square error provided by the invention, passes through
Channel carrier phase recovery module fully considers that the carrier phase of signal in estimating window is floated during phase estimation.Therefore,
Influence of the phase recovery in the process because of the long variation of estimating window to estimated result is effectively avoided, and then substantially increases this
Module ensure that the stability of communication system to the tolerance of phase noise and the long selection of window.
The above description is only an embodiment of the present invention, is not intended to limit the scope of the invention, all to utilize this hair
Equivalent structure or equivalent flow shift made by bright description is applied directly or indirectly in other relevant technology necks
Domain is included within the scope of the present invention.
Claims (6)
1. a kind of channel carrier phase recovery method based on least mean-square error, which is characterized in that using based on lowest mean square
The channel carrier phase recovery module of error, comprising the following specific steps
(1), channel carrier phase recovery module is placed in optical communication system, is needed signal-to-noise ratio detection module being placed in light before use and be led to
After photodetector, clock recovery module, dispersion compensation module and preposition channel estimation module that letter system connects；
(2), channel carrier phase recovery module carries out time-domain seperation to the electric signal that receives, construct with current time to
Centered on estimating signal, the symmetrical estimating window with certain length, and establish current estimation window signal and measured signal phase
Between theoretical model；
(3), using minimum mean square error method, the optimal estimation parameter under current estimating window is calculated, brings into theoretical model, estimates
The carrier phase for counting current time, carries out carrier auxiliary afterwards；
(4), translation estimating window repeats the above steps to subsequent time and restores the carrier phase of subsequent time, until signal terminates.
2. the channel carrier phase recovery method according to claim 1 based on least mean-square error, which is characterized in that institute
The channel carrier phase recovery module stated using when need to be combined with optical communication system, be placed in the receiver of optical communication system rear end
End.
3. the channel carrier phase recovery method according to claim 1 based on least mean-square error, which is characterized in that institute
The channel carrier phase recovery module stated carries out time-domain seperation to the electric signal received in sequence, is the signal at each moment
Constructing length is (2L+1), the symmetrical estimating window centered on the time-ofday signals, using the signals that receive all in estimating window as base
Plinth calculates the carrier phase of the window center signal.
4. the channel carrier phase recovery method according to claim 1 based on least mean-square error, which is characterized in that institute
The channel carrier phase recovery module stated introduces Damped Exponential Signal Model, i.e.,
WhereinIndicate signal sequence number,Indicate module of the present invention receives signal,It indicates
Emit client information,Indicate signal power,Indicate transmitting terminal phase-modulation,Indicate additive white Gaussian noise,Indicate carrier phase,It indicates Carrier Phase Noise and is proved to obey mean value to be 0
Variance isNormal distribution,For the 3-dB line width of transmitting terminal and receiving end laser,To receive signal
Period,It indicates influence of the additive white Gaussian noise to phase of received signal, and is proved to obey mean value to be that 0 variance isNormal distribution,For system signal noise ratio.
5. the channel carrier phase recovery method according to claim 1 based on least mean-square error, which is characterized in that institute
The channel carrier phase recovery module stated refers to VV(Viterbi-Viterbi) phase estimation method, to believing in current estimating window
Number and phase to be estimated establish phase estimation model, i.e.,
Wherein,To eliminate the signal sequence in estimating window after phase-modulation, estimate as carrier phase
The input signal of meter,ForThe estimated value of moment carrier phase,ForMoment carrier wave plural number phase
The estimated value of position,For the estimation coefficient vector in current estimating window.
6. the channel carrier phase recovery method according to claim 1 based on least mean-square error, which is characterized in that institute
The channel carrier phase recovery module stated utilizes minimum mean square error method, i.e.,
It is wherein the cross correlation vector that length is,For the autocorrelation matrix that length is, above formula writing
By solution above formula, can obtain:
According to above-mentioned Damped Exponential Signal Model, known in matrix R by calculating,
VectorIn,
Optimal estimation coefficient vector is substituted into above-mentioned phase estimation model, is calculated based on least-mean-square error algorithm, currently
The optimal carrier phase at moment is estimated, using the current time carrier phase estimated, carries out carrier phase recovery, i.e.,。
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Application publication date: 20191115 |