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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- 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
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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 invention relates to the technical field of performance detection of an optical communication system, in particular to a channel carrier phase recovery method based on minimum mean square error.
Background
With the development of internet technology, the amount of internet communication data is increasing day by day. In order to meet the requirement of the modern communication internet on the communication data volume, the high-speed coherent optical communication technology based on the high-order modulation technology is receiving wide attention. However, the higher order modulation method is very sensitive to the linear phase noise generated by the laser during transmission. Therefore, accurate phase estimation is one of the key elements of channel estimation in high-speed optical communication systems.
In the receiver of the early optical communication system, the VV algorithm is mostly adopted by the phase estimation module. The algorithm effectively eliminates the phase modulation of the signal by calculating the index of the signal aiming at the phase modulation signal, thereby realizing the phase recovery. However, in this method, in order to simplify the estimation process, it is assumed that the phase of the signal in the estimation window constructed by the module after performing time domain decomposition on the received signal remains substantially unchanged. Therefore, such methods have limited performance when the system encounters strong phase noise or adopts a high-order modulation scheme. Furthermore, this assumption also results in VV phase estimation method performance being limited by the choice of estimation window length. In practical applications, to satisfy this assumption, the phase estimation module often selects a shorter estimation window to ensure the stability of the signal phase within the window. However, for a system with a low signal-to-noise ratio, the short estimation window cannot effectively filter white gaussian noise, and further affects the phase recovery performance. Therefore, to guarantee phase recovery performance, such methods typically require optimization of the window length of the phase estimate for the current system before practical application. Therefore, such methods have very limited applicability.
Disclosure of Invention
The invention mainly solves the technical problem of providing a channel carrier phase recovery method based on minimum mean square error, and fully considers the carrier phase floating of signals in an estimation window in the phase estimation process through a channel carrier phase recovery module. Therefore, the influence of the change of the length of the estimation window on the estimation result in the phase recovery process is effectively avoided, the tolerance of the module on the phase noise and the window length selection is greatly improved, and the stability of a communication system is ensured.
In order to solve the technical problems, the invention adopts a technical scheme that: the utility model provides a channel carrier phase recovery method based on the minimum mean square error, which adopts a channel carrier phase recovery module based on the minimum mean square error, and comprises the following steps:
(1) the signal-to-noise ratio detection module is arranged behind a photoelectric detector, a clock recovery module, a dispersion compensation module and a preposed channel estimation module which are connected with the optical communication system before use;
(2) the channel carrier phase recovery module performs time domain separation on the received electric signal, constructs a symmetrical estimation window which takes the signal to be estimated at the current moment as the center and has a certain length, and establishes a theoretical model between the current estimation window signal and the phase of the signal to be estimated;
(3) calculating an optimal estimation parameter under a current estimation window by using a minimum mean square error method, bringing the optimal estimation parameter into a theoretical model, estimating a carrier phase at the current moment, and then carrying out carrier recovery;
(4) and shifting the estimation window to the next moment, and repeating the steps to recover the carrier phase of the next moment until the signal is finished.
In a preferred embodiment of the present invention, the channel carrier phase recovery module is used in conjunction with an optical communication system and is disposed at a receiver end of a rear end of the optical communication system.
In a preferred embodiment of the present invention, the channel carrier phase recovery module sequentially performs time domain separation on the received electrical signals, constructs a symmetric estimation window with length (2L + 1) for each time signal, and uses the time signal as a center to calculate the carrier phase of the signal at the center of the window based on all the received signals in the estimation window.
In a preferred embodiment of the invention, the channel carrier phase recovery module introduces an exponential signal model, i.e. the channel carrier phase recovery module is a linear model
WhereinIndicating the serial number of the signal,the acceptance signal of the module of the present invention is shown,which represents the information on the transmitting end and,which is indicative of the power of the signal,which represents the phase modulation at the transmitting end,representing an additive white gaussian noise, and,which is indicative of the phase of the carrier wave,represents carrier phase noise and is shown to obey a mean of 0 and a variance ofThe normal distribution of (c),the 3-dB linewidths of the lasers at the transmitting end and the receiving end,in order to receive the period of the signal,represents the effect of additive white Gaussian noise on the phase of the received signal and is shown to be subject to a mean of 0 and a variance ofThe normal distribution of (c),is the system signal-to-noise ratio.
In a preferred embodiment of the present invention, the channel carrier phase recovery module references a VV (Viterbi-Viterbi) phase estimation method to establish a phase estimation model for the signal in the current estimation window and the phase to be estimated, i.e. the model is established
Wherein,to eliminate the phase modulated signal sequence within the estimation window as an input signal for carrier phase estimation.Is composed ofAn estimate of the phase of the carrier at the time,is composed ofAn estimate of the complex phase of the time-of-day carrier,is the estimated coefficient vector in the current estimation window.
6. The minimum mean square error based channel carrier phase recovery method of claim 1, wherein the channel carrier phase recovery module uses a minimum mean square error method (MMSE)
WhereinIs of length ofThe cross-correlation vector of (a) is,is of length ofThe autocorrelation matrix of (1), the above formula composition
By solving the above equation, one can obtain:
according to the exponential signal model, in the known matrix R,
vector quantityIn (1),
substituting the optimal estimation coefficient vector into the phase estimation model, calculating the optimal carrier phase estimation of the current time based on the minimum mean square error algorithm, and recovering the carrier phase by using the estimated carrier phase of the current time, namely。
The invention has the beneficial effects that: the channel carrier phase recovery method based on the minimum mean square error is suitable for a carrier phase recovery module of a carrier phase severe jitter system, the channel carrier phase recovery module refers to a traditional VV phase estimation method, and the influence of jitter of a signal phase in an estimation window on carrier phase recovery is effectively eliminated by using the minimum mean square error method, so that compared with a traditional phase estimation algorithm, the phase recovery module has higher tolerance on phase noise, in addition, due to the optimization of an estimation coefficient, the phase recovery module effectively reduces the influence of window length selection on the phase recovery performance, and improves the system stability.
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In order to more clearly illustrate the technical solutions in the embodiments of the present invention, the drawings needed to be used in the description of the embodiments are briefly introduced below, it is obvious that the drawings in the following description are only some embodiments of the present invention, and other drawings can be obtained by those skilled in the art without inventive efforts, wherein:
FIG. 1 is a basic block diagram of a coherent optical communication receiver in the prior art;
FIG. 2 is a block diagram of the basic operation flow of the channel carrier phase recovery method based on minimum mean square error estimation according to the present invention;
FIG. 3 is a flow chart of an estimation window constructed by the time domain decomposition of the phase recovery module;
FIG. 4 is a graphical illustration of the effect of varying degrees of phase noise on the performance of phase estimation in one embodiment;
FIG. 5 is a graph illustrating the effect of varying degrees of signal-to-noise ratio on phase estimation performance in one embodiment;
fig. 6 is a diagram illustrating the effect of different window lengths on the phase estimation performance in one embodiment.
Detailed Description
The technical solutions in the embodiments of the present invention will be clearly and completely described below, and it is obvious that the described embodiments are only a part of the embodiments of the present invention, and not all embodiments. All other embodiments, which can be derived by a person skilled in the art from the embodiments given herein without making any creative effort, shall fall within the protection scope of the present invention.
A channel carrier phase recovery method based on minimum mean square error adopts a channel carrier phase recovery module based on minimum mean square error, and comprises the following specific steps:
(1) the signal-to-noise ratio detection module is arranged behind a photoelectric detector, a clock recovery module, a dispersion compensation module and a preposed channel estimation module which are connected with the optical communication system before use;
(2) the channel carrier phase recovery module performs time domain separation on the received electric signal, constructs a symmetrical estimation window which takes the signal to be estimated at the current moment as the center and has a certain length, and establishes a theoretical model between the current estimation window signal and the phase of the signal to be estimated;
(3) calculating an optimal estimation parameter under a current estimation window by using a minimum mean square error method, bringing the optimal estimation parameter into a theoretical model, estimating a carrier phase at the current moment, and then carrying out carrier recovery;
(4) and shifting the estimation window to the next moment, and repeating the steps to recover the carrier phase of the next moment until the signal is finished.
The module for recovering the carrier phase of the mode channel uses the traditional VV phase estimation algorithm structure for reference, and effectively eliminates the influence of phase change in an estimation window on phase estimation by using a minimum mean square error algorithm. Therefore, compared with the traditional VV estimation method, the method has higher tolerance to phase noise.
The mode channel carrier phase recovery module is used in conjunction with an optical communication receiver system. The present embodiment takes a classical coherent receiver as an example, and details the specific working steps of the module for recovering the carrier phase of the mode channel. As shown in fig. 1, the classical coherent receiver workflow generally includes: the device comprises a photoelectric detection module, a clock recovery module, a dispersion compensation module, a polarization demultiplexing module, a frequency offset compensation module, a phase recovery module and a signal demodulation module. Thus, as shown in fig. 2, the module for recovering the carrier phase of the modulo channel needs to be placed after the module for estimating the preamble channel in the receiver system when it is used.
After receiving the signal, the module performs time domain separation on the signal by the module, and constructs an estimation window with a certain length, which is centered on the current signal to be measured, as shown in fig. 3. Then, the received signal in the estimation window is taken as input, an exponential signal model is introduced, and the phase change of the signal in the estimation window is conveniently analyzed, namely
（1）
WhereinIndicating the serial number of the signal,the acceptance signal of the module of the present invention is shown,which represents the information on the transmitting end and,which is indicative of the power of the signal,which represents the phase modulation at the transmitting end,representing an additive white gaussian noise, and,which is indicative of the phase of the carrier wave,represents carrier phase noise and is shown to obey a mean of 0 and a variance ofNormal score ofThe cloth is made of a cloth material,the 3-dB linewidths of the lasers at the transmitting end and the receiving end,in order to receive the period of the signal,represents the effect of additive white Gaussian noise on the phase of the received signal and is shown to be subject to a mean of 0 and a variance ofThe normal distribution of (c),is the system signal-to-noise ratio.
By taking reference to the traditional VV phase recovery algorithm, the module channel carrier phase recovery module performs exponential calculation on the signal in the estimation window to eliminate phase modulation. The result of the exponential operation is then amplitude normalized to facilitate subsequent phase estimation, i.e.
（2）
According to the traditional VV phase estimation method, a module channel carrier phase recovery module establishes a current estimation window input signalWith respect to the phase to be estimated, i.e. models
（3）
Wherein,for cancelling phase-modulated signals within an estimation windowThe sequence is used as an input signal for carrier phase estimation.Is composed ofAn estimate of the phase of the carrier at the time,is composed ofAn estimate of the complex phase of the time-of-day carrier,is the estimated coefficient vector in the current estimation window.
Using the minimum mean square error estimation method, the optimal estimation coefficient vector of the current estimation window is calculated, i.e.
（4）
WhereinIs of length ofThe cross-correlation vector of (a) is,is of length ofThe autocorrelation matrix of (4) can be simply written as
（5）
By solving the above equation (5), it can be obtained
（6）
According to the exponential signal model of the formula (1), in the known matrix R through simple calculation,
（7）
in the vector P, the vector is,
（8）
and (4) substituting the optimal coefficient obtained by the calculation of the formula (5) into the formula (3) and calculating the optimal phase estimation at the current moment. Subsequently, carrier phase recovery is performed using the estimated carrier phase at the current time, i.e. carrier phase recovery
（9）
As shown in fig. 4, the modulo channel carrier phase recovery module has a high tolerance for phase noise thanks to the optimization of the estimation coefficients for the phase variations that may exist within the estimation window. Even if the system uses a laser with a larger line width, the module for recovering the carrier phase of the mode channel can still ensure the reliability of carrier phase recovery. Fig. 5 illustrates the tolerance of the mode channel carrier phase recovery module to the signal-to-noise ratio, taking a QPSK modulation system of 50GS/s as an example. When the signal-to-noise ratio of the system is larger than 4dB, the module channel carrier phase recovery module can realize more accurate phase estimation. Fig. 6 shows, by way of example, the relationship between the estimation performance of the modulo channel carrier phase recovery module and the estimation window length. The longer window length can effectively equalize white noise in the estimation window, thereby improving the phase estimation performance. When the estimation window length is increased to a certain length, the phase estimation performance is kept unchanged.
In summary, the channel carrier phase recovery method based on the minimum mean square error provided by the present invention fully considers carrier phase floating of the signal in the estimation window in the phase estimation process through the channel carrier phase recovery module. Therefore, the influence of the change of the length of the estimation window on the estimation result in the phase recovery process is effectively avoided, the tolerance of the module on the phase noise and the window length selection is greatly improved, and the stability of a communication system is ensured.
The above description is only an embodiment of the present invention, and not intended to limit the scope of the present invention, and all modifications of equivalent structures and equivalent processes, which are made by the present specification, or directly or indirectly applied to other related technical fields, are included in the scope of the present invention.
Claims (6)
1. A channel carrier phase recovery method based on minimum mean square error is characterized in that a channel carrier phase recovery module based on minimum mean square error is adopted, and the method comprises the following specific steps:
(1) the signal-to-noise ratio detection module is arranged behind a photoelectric detector, a clock recovery module, a dispersion compensation module and a preposed channel estimation module which are connected with the optical communication system before use;
(2) the channel carrier phase recovery module performs time domain separation on the received electric signal, constructs a symmetrical estimation window which takes the signal to be estimated at the current moment as the center and has a certain length, and establishes a theoretical model between the current estimation window signal and the phase of the signal to be estimated;
(3) calculating an optimal estimation parameter under a current estimation window by using a minimum mean square error method, bringing the optimal estimation parameter into a theoretical model, estimating a carrier phase at the current moment, and then carrying out carrier recovery;
(4) and shifting the estimation window to the next moment, and repeating the steps to recover the carrier phase of the next moment until the signal is finished.
2. The minimum mean square error-based channel carrier phase recovery method of claim 1, wherein the channel carrier phase recovery module is combined with an optical communication system when in use, and is disposed at a receiver end of a back end of the optical communication system.
3. The minimum mean square error-based channel carrier phase recovery method of claim 1, wherein the channel carrier phase recovery module sequentially performs time-domain separation on the received electrical signals, constructs a symmetric estimation window with a length of (2L + 1) for each time signal, and centers on the time signal, and calculates the carrier phase of the signal at the center of the window based on all the received signals in the estimation window.
4. The minimum mean square error based channel carrier phase recovery method of claim 1, wherein the channel carrier phase recovery module introduces an exponential signal model, i.e. the model is
WhereinIndicating the serial number of the signal,the acceptance signal of the module of the present invention is shown,which represents the information on the transmitting end and,which is indicative of the power of the signal,which represents the phase modulation at the transmitting end,representing an additive white gaussian noise, and,which is indicative of the phase of the carrier wave,represents carrier phase noise and is shown to obey a mean of 0 and a variance ofThe normal distribution of (c),the 3-dB linewidths of the lasers at the transmitting end and the receiving end,in order to receive the period of the signal,represents the effect of additive white Gaussian noise on the phase of the received signal and is shown to be subject to a mean of 0 and a variance ofThe normal distribution of (c),is the system signal-to-noise ratio.
5. The method of claim 1, wherein the channel carrier phase recovery module builds a phase estimation model for the signal in the current estimation window and the phase to be estimated with reference to a VV (Viterbi-Viterbi) phase estimation method, i.e. the method is applied to the phase recovery module
Wherein,for eliminating the phase modulated signal sequence within the estimation window, as input signal for carrier phase estimation,is composed ofAn estimate of the phase of the carrier at the time,is composed ofAn estimate of the complex phase of the time-of-day carrier,is the estimated coefficient vector in the current estimation window.
6. The minimum mean square error based channel carrier phase recovery method of claim 1, wherein the channel carrier phase recovery module uses a minimum mean square error method (MMSE)
Where is the cross-correlation vector of length,for length-of-autocorrelation matrices, the above formula is written
By solving the above equation, one can obtain:
according to the exponential signal model, in the known matrix R,
vector quantityIn (1),
substituting the optimal estimation coefficient vector into the phase estimation model, calculating the optimal carrier phase estimation of the current time based on the minimum mean square error algorithm, and recovering the carrier phase by using the estimated carrier phase of the current time, namely。
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