WO2016037464A1 - 一种非线性补偿方法及装置 - Google Patents

一种非线性补偿方法及装置 Download PDF

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WO2016037464A1
WO2016037464A1 PCT/CN2015/073248 CN2015073248W WO2016037464A1 WO 2016037464 A1 WO2016037464 A1 WO 2016037464A1 CN 2015073248 W CN2015073248 W CN 2015073248W WO 2016037464 A1 WO2016037464 A1 WO 2016037464A1
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factor
channel
nonlinear
compensation
channels
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PCT/CN2015/073248
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English (en)
French (fr)
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沈百林
李桂芳
赵宁波
赵健
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中兴通讯股份有限公司
天津大学
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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
    • H04B10/25—Arrangements specific to fibre transmission
    • H04B10/2507—Arrangements specific to fibre transmission for the reduction or elimination of distortion or dispersion
    • H04B10/2543—Arrangements specific to fibre transmission for the reduction or elimination of distortion or dispersion due to fibre non-linearities, e.g. Kerr effect
    • 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
    • H04B10/25—Arrangements specific to fibre transmission
    • H04B10/2507—Arrangements specific to fibre transmission for the reduction or elimination of distortion or dispersion
    • H04B10/2569—Arrangements specific to fibre transmission for the reduction or elimination of distortion or dispersion due to polarisation mode dispersion [PMD]

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  • the invention relates to the field of coherent optical communication technology, in particular to a nonlinear compensation method and device.
  • a coherent optical communication system is generally considered to be a more efficient communication system because of its high sensitivity.
  • digital signal processing DSP technology has been applied to coherent optical communication systems. With DSP, convenient and inexpensive polarization and phase management can be achieved in the electrical domain. More importantly, signal impairments can be compensated in the electrical domain.
  • the digital backward propagation DBP method has proved to be the most promising, but the DBP method requires a large amount of computation and is unbearable.
  • the key to achieving nonlinear compensation at present is to design a new algorithm that can effectively reduce the amount of calculation but does not affect the compensation effect.
  • the DBP method is based on the nonlinear Schrödinger equation NLSE that solves the backward propagation.
  • NLSE is a nonlinear partial differential equation and usually requires a numerical solution.
  • SSFM stepwise Fourier method
  • the amount of computation required for DBP calculations is inversely proportional to the step size. In order to reduce the amount of calculation, you should try to choose a larger step size.
  • the step size selected in the actual calculation should generally be less than the minimum of the four physical lengths of the feature - dispersion length, nonlinear length, walk-off length and four-wave mixing FWM length.
  • the nonlinear damage compensation algorithm includes three kinds of compensation algorithms.
  • the first algorithm calculates the step size by the length of the deviation, and the calculation amount is huge and unbearable.
  • the second algorithm uses the explicit calculation method to calculate the deviation. The effect of the effect, but the calculation step size is still limited by the dispersion length;
  • the third algorithm uses the correlation between the front and back channels to account for the effect of the dispersion effect on the nonlinear effect in the channel, but this algorithm can not compensate the nonlinearity between channels. Function, can not be used in WDM systems.
  • the embodiment of the invention provides a nonlinear compensation method and device for solving at least the problem of large computational complexity of the algorithm for calculating the nonlinear damage compensation of the polarization multiplexing-wavelength division multiplexing system.
  • an embodiment of the present invention provides a nonlinear compensation method, which is applied to a polarization multiplexing-wavelength division multiplexing system, where the polarization multiplexing-wavelength division multiplexing system includes multiple signals for transmitting signals.
  • Channel including:
  • each of the S segments of the channel is separately nonlinearly compensated.
  • ⁇ is the channel spacing
  • h is the step value
  • i represents the imaginary number
  • ⁇ is the angular frequency
  • ⁇ 2 is the dispersion coefficient
  • ⁇ is the loss coefficient
  • h is the step value
  • d mq is the deviation parameter
  • d mq ⁇ 2 ( ⁇ m - ⁇ q )
  • z is the transmission distance
  • ⁇ is the angle
  • the frequencies, m and q represent the channel numbers.
  • the correlation coefficient between adjacent transmission signals in each of the channels is obtained by a perturbation method or a fitting method.
  • the step of performing dispersion compensation on each of the S segments of each of the channels according to the dispersion compensation factor is specifically:
  • Dispersion compensation is performed for each of the S segments of each of the channels; wherein x and y represent polarization states and z represents transmission distance, Expresses the amplitude at time t and the transmission distance z+h, Representing the amplitude at time t and the transmission distance z, H m represents the dispersion compensation factor, F represents the Fourier transform, and F -1 represents the inverse Fourier transform.
  • the step of performing nonlinear compensation for each of the S segments of each of the channels according to the correlation coefficient and the separation factor includes:
  • Each of the S segments of the channel is nonlinearly compensated based on the effective light intensity and the nonlinear factor.
  • the step of acquiring the nonlinear factor of the channel according to the correlation coefficient, the leaving factor, and the effective light intensity is specifically:
  • the nonlinear factor comprising: a self phase modulation SPM and a cross phase modulation XPM phase shift factor;
  • the nonlinear factor comprising: a coherent XPM factor
  • ⁇ is a nonlinear coefficient
  • W mq is a departure factor
  • m and q are channel numbers
  • P xm represents the effective light intensity in the x direction of the mth channel
  • P ym represents the effective light intensity in the y direction of the mth channel
  • E yq ( ⁇ , z) represents a Fourier transform of the q-th channel y-direction signal amplitude
  • E xq ( ⁇ , z) represents a Fourier transform of the q-th channel x-direction signal amplitude
  • F -1 represents the inverse Fourier transform.
  • E xm (t, z+h) represents the amplitude of the x-polarization state at time t and distance z+h;
  • E ym (t, z+h) represents the amplitude of the y-polarization state at time t and distance z+h;
  • E xm (t,z) represents the amplitude of the x-polarization state at time t and distance z;
  • E ym (t,z) represents the amplitude of the y-polarization state at time t and distance z;
  • ⁇ m represents the SPM and XPM phase shift factor of the mth channel
  • Q m represents the coherent XPM factor of the mth channel.
  • Embodiments of the present invention also provide a nonlinear compensation device, including:
  • a dividing module configured to divide a distance of each of the channels into S segments of equal length according to a step value, wherein the step value is greater than a dispersion length value of the transmission signal and smaller than a nonlinear length of the transmission signal Value, S is an integer greater than one;
  • Obtaining a module configured to obtain a dispersion compensation factor of each of the channels, a separation factor between different channels, and a correlation coefficient between adjacent transmission signals in each of the channels;
  • a dispersion compensation module configured to separately perform dispersion compensation for each of the S segments of each of the channels according to the dispersion compensation factor
  • the nonlinear compensation module is configured to perform nonlinear compensation for each of the S segments of each of the channels according to the correlation coefficient and the separation factor.
  • the acquisition module includes:
  • the second acquisition module is set to pass the formula:
  • ⁇ is the loss coefficient
  • h is the step value
  • d mq is the deviation parameter
  • d mq ⁇ 2 ( ⁇ m - ⁇ q )
  • z is the transmission distance
  • ⁇ is the angle Frequency
  • m and q represent the channel number
  • the third obtaining module is configured to acquire, by using a perturbation method or a fitting method, an association coefficient between adjacent transmission signals in each of the channels.
  • the dispersion compensation module specifically adopts a formula:
  • Dispersion compensation is performed for each of the S segments of each of the channels, where x and y represent polarization states and z represents transmission distance, Expresses the amplitude at time t and distance z+h, Representing the amplitude at time t and distance z, H m represents the dispersion compensation factor, F represents the Fourier transform, and F -1 represents the inverse Fourier transform.
  • the nonlinear compensation module includes:
  • a calculating unit configured to calculate a weighted average of adjacent transmission signal strengths in the channel according to the correlation coefficient, to obtain an effective light intensity of the channel
  • An acquiring unit configured to acquire a nonlinear factor of the channel according to the correlation coefficient, a separation factor, and the effective light intensity
  • a compensation unit configured to perform nonlinear compensation for each of the S segments of each of the channels according to the effective light intensity and the nonlinear factor.
  • the nonlinear factor comprising: a self phase modulation SPM and a cross phase modulation XPM phase shift factor;
  • the obtaining unit passes the formula:
  • the nonlinear factor comprising: a coherent XPM factor
  • ⁇ is a nonlinear coefficient
  • W mq is a departure factor
  • m and q are channel numbers
  • P xm represents the effective light intensity in the x direction of the mth channel
  • P ym represents the effective light intensity in the y direction of the mth channel
  • E yq ( ⁇ , z) represents a Fourier transform of the q-th channel y-direction signal amplitude
  • E xq ( ⁇ , z) represents a Fourier transform of the q-th channel x-direction signal amplitude
  • F -1 represents the inverse Fourier transform.
  • the compensation unit passes the formula:
  • E xm (t, z+h) represents the amplitude of the x-polarization state at time t and distance z+h;
  • E ym (t, z+h) represents the amplitude of the y-polarization state at time t and distance z+h;
  • E xm (t,z) represents the amplitude of the x-polarization state at time t and distance z;
  • E ym (t,z) represents the amplitude of the y-polarization state at time t and distance z;
  • ⁇ m represents the SPM and XPM phase shift factor of the mth channel
  • Q m represents the coherent XPM factor of the mth channel.
  • the nonlinear compensation method of the embodiment of the invention adopts the explicit consideration of the influence of the separation effect and uses the correlation of adjacent signals to account for the influence of the dispersion effect, so that the step value can far exceed the dispersion length, effectively reducing the number of calculation steps. And calculate the total amount.
  • Figure 1 shows a workflow diagram of an embodiment of the present invention
  • FIG. 2 is a schematic diagram showing the implementation of an embodiment of the present invention.
  • FIG. 3 is a view showing a comparative simulation effect of an embodiment of the present invention and a prior art solution
  • Fig. 4 is a block diagram showing the structure of an embodiment of the present invention.
  • the embodiment of the invention provides a nonlinear compensation method and device, which solves the problem that the algorithm for calculating the nonlinear damage compensation of the polarization multiplexing-wavelength division multiplexing system is large.
  • the nonlinear compensation method of the embodiment of the present invention is applied to a polarization multiplexing-wavelength division multiplexing system, where the polarization multiplexing-wavelength division multiplexing system includes a plurality of channels for transmitting signals, as shown in FIG. :
  • Step S10 Divide the distance of each channel into S segments of equal length according to the step value, wherein the step value is greater than the dispersion length value of the transmission signal and less than the nonlinear length value of the transmission signal, and S is an integer greater than 1. .
  • Step S20 Acquire a dispersion compensation factor for each channel, a separation factor between different channels, and an correlation coefficient between adjacent transmission signals in each channel.
  • ⁇ is the channel spacing
  • h is the step value
  • i represents the imaginary number
  • ⁇ is the angular frequency
  • ⁇ 2 is the dispersion coefficient
  • ⁇ the loss coefficient
  • h the step value
  • d mq the deviation parameter
  • d mq ⁇ 2 ( ⁇ m - ⁇ q )
  • z the transmission distance
  • ⁇ the angle Frequency
  • m and q represent the channel number
  • the correlation coefficient between adjacent transmission signals in each of the channels is obtained by a perturbation method or a fitting method.
  • Step S30 Perform dispersion compensation for each segment of each channel S segment according to the dispersion compensation factor.
  • Dispersion compensation is performed for each of the S segments of each channel; wherein x and y represent polarization states and z represents transmission distance, Expresses the amplitude at time t and the transmission distance z+h, Representing the amplitude at time t and the transmission distance z, H m represents the dispersion compensation factor, F represents the Fourier transform, and F -1 represents the inverse Fourier transform.
  • Step S40 Perform nonlinear compensation for each of the S segments of each of the channels according to the correlation coefficient and the separation factor.
  • a weighted average of adjacent transmission signal strengths in the channel is calculated according to the correlation coefficient to obtain an effective light intensity of the channel;
  • nonlinear factors of the channel include: self-phase modulation SPM and cross-phase modulation XPM phase shift factor and coherent XPM factor, specifically, by formula:
  • ⁇ is a nonlinear coefficient
  • W mq is a departure factor
  • m and q are channel numbers
  • P xm represents the effective light intensity in the x direction of the mth channel
  • P ym represents the effective light intensity in the y direction of the mth channel
  • E yq ( ⁇ , z) represents a Fourier transform of the q-th channel y-direction signal amplitude
  • E xq ( ⁇ , z) represents a Fourier transform of the q-th channel x-direction signal amplitude
  • F -1 represents the inverse Fourier transform.
  • each segment of each channel S segment is nonlinearly compensated according to the effective light intensity and the nonlinear factor, specifically, by a formula:
  • E xm (t, z+h) represents the amplitude of the x-polarization state at time t and distance z+h;
  • E ym (t, z+h) represents the amplitude of the y-polarization state at time t and distance z+h;
  • E xm (t,z) represents the amplitude of the x-polarization state at time t and distance z;
  • E ym (t,z) represents the amplitude of the y-polarization state at time t and distance z;
  • ⁇ m represents the SPM and XPM phase shift factor of the mth channel
  • Q m represents the coherent XPM factor of the mth channel.
  • the nonlinear phase of the correlation effect is further obtained by the effective light intensity of the channel; the nonlinear phase of the separation effect is further obtained by the nonlinear factor, and then the nonlinear phase and the deviation according to the correlation effect are obtained.
  • the nonlinear phase of the effect is nonlinearly compensated for each segment of the S segment of the channel using the above formula.
  • the nonlinear compensation method of the embodiment of the invention adopts the explicit consideration of the influence of the separation effect, and utilizes the relationship between adjacent signals to account for the influence of the dispersion effect, so that the step value far exceeds the dispersion length, and the number of calculation steps is effectively reduced. And the total amount of calculation.
  • the division module first divides the distance of each of the channels into S segments of equal length according to the step value, wherein the specific value of the step value is weighed according to the compensation effect and the total calculation amount;
  • the dispersion compensation factor of each channel and the separation factor between different channels are respectively obtained by the above formula, and the correlation coefficient between adjacent transmission signals in each channel is obtained by the perturbation method or the fitting method; the dispersion compensation module is used for each channel.
  • a segment of the S segment performs dispersion compensation; the calculation unit calculates a weighted average of adjacent transmission signal strengths in the channel according to the correlation coefficient to obtain an effective light intensity of each channel; and the acquisition unit according to the correlation coefficient, the separation factor, and the effective light intensity Obtaining a nonlinear factor; the compensation unit nonlinearly compensates one segment of each S segment according to the effective light intensity and the nonlinear factor; and determines whether each segment of each channel S segment completes the above dispersion compensation and nonlinear compensation If the judgment result is yes, the compensation calculation is ended. If the judgment result is no, the compensation is not performed for each channel S segment. Part of dispersion compensation and nonlinear compensation, until each of the channel sections of each segment S was complete dispersion compensation and nonlinear compensation.
  • the nonlinear compensation method of the embodiment of the present invention is a simulation effect of the PDM-WDM system under nonlinear compensation, wherein the 6-channel PDM-16QAM transmission simulation data is obtained by the VPI software, and the simulation key parameters are obtained. It is: symbol rate 30GBd, dispersion coefficient is 17ps/nm, nonlinear coefficient VPI default, frequency offset 0.5GHz, laser line width 100kHz, fiber input power +1dBm, span 80km, transmission distance 800km.
  • the number of steps in the figure refers to the number of steps per span. It can be seen that the number of steps required in the embodiment of the present invention is the smallest and the effect value (Q) is the best.
  • the nonlinear compensation method of the embodiment of the present invention separately performs dispersion compensation and nonlinear compensation for each segment of each channel S segment. Since the present invention simultaneously considers the effects of dispersion and the separation effect, the step value far exceeds the dispersion. The length effectively reduces the number of calculation steps and the total calculation amount.
  • the embodiment of the invention further provides a nonlinear compensation device, as shown in FIG. 4, comprising:
  • a dividing module configured to divide the distance of each of the channels into S segments of equal length according to the step value, wherein the step value is between the dispersion length and the nonlinear length of the transmission signal, and S is greater than An integer of 1;
  • Obtaining a module configured to obtain a dispersion compensation factor of each of the channels, a separation factor between different channels, and a correlation coefficient between adjacent transmission signals in each of the channels;
  • a dispersion compensation module configured to separately perform dispersion compensation for each of the S segments of each of the channels according to the dispersion compensation factor
  • the nonlinear compensation module is configured to perform nonlinear compensation for each of the S segments of each of the channels according to the correlation coefficient and the separation factor.
  • the acquiring module includes:
  • the second acquisition module is set to pass the formula:
  • ⁇ is the loss coefficient
  • h is the step value
  • d mq is the deviation parameter
  • d mq ⁇ 2 ( ⁇ m - ⁇ q )
  • z is the transmission distance
  • ⁇ is the angle Frequency
  • m and q represent the channel number
  • the third obtaining module is configured to acquire, by using a perturbation method or a fitting method, an association coefficient between adjacent transmission signals in each of the channels.
  • the dispersion compensation module specifically adopts a formula:
  • Dispersion compensation is performed for each of the S segments of each of the channels, where x and y represent polarization states and z represents transmission distance, Expresses the amplitude at time t and distance z+h, Representing the amplitude at time t and distance z, H m indicates that the dispersion compensation factor F represents the Fourier transform, and F -1 represents the inverse Fourier transform.
  • the nonlinear compensation module includes:
  • a calculating unit configured to calculate a weighted average of adjacent transmission signal strengths in the channel according to the correlation coefficient, to obtain an effective light intensity of the channel
  • An acquiring unit configured to acquire a nonlinear factor of the channel according to the correlation coefficient, a separation factor, and the effective light intensity
  • a compensation unit configured to perform nonlinear compensation for each of the S segments of each of the channels according to the effective light intensity and the nonlinear factor.
  • the acquiring unit passes the formula:
  • the nonlinear factor comprising: a self phase modulation SPM and a cross phase modulation XPM phase shift factor;
  • the obtaining unit passes the formula:
  • the nonlinear factor comprising: a coherent XPM factor
  • ⁇ is a nonlinear coefficient
  • W mq is a departure factor
  • m and q are channel numbers
  • P xm represents the effective light intensity in the x direction of the mth channel
  • P ym represents the effective light intensity in the y direction of the mth channel
  • E yq ( ⁇ , z) represents a Fourier transform of the q-th channel y-direction signal amplitude
  • E xq ( ⁇ , z) represents a Fourier transform of the q-th channel x-direction signal amplitude
  • F -1 represents the inverse Fourier transform.
  • the compensation unit passes the formula:
  • E xm (t, z+h) represents the amplitude of the x-polarization state at time t and distance z+h;
  • E ym (t, z+h) represents the amplitude of the y-polarization state at time t and distance z+h;
  • E xm (t,z) represents the amplitude of the x-polarization state at time t and distance z;
  • E ym (t,z) represents the amplitude of the y-polarization state at time t and distance z;
  • ⁇ m represents the SPM and XPM phase shift factor of the mth channel
  • Q m represents the coherent XPM factor of the mth channel.
  • the device is a device corresponding to the foregoing method embodiment, and all implementations in the foregoing method embodiments are applicable to the embodiment of the device, and the same technical effects can be achieved.
  • the nonlinear compensation method and device of the embodiment of the invention simultaneously considers the effects of dispersion and the separation effect when performing nonlinear compensation, and the step value can far exceed the dispersion length, effectively reducing the number of calculation steps and the total calculation amount.
  • the nonlinear compensation method and apparatus provided by the embodiments of the present invention have the following beneficial effects: the explicit consideration of the influence of the separation effect and the use of the correlation of adjacent signals to account for the influence of the dispersion effect, so that the step size
  • the value can be much longer than the dispersion length, effectively reducing the number of calculation steps and the total amount of calculation.

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Abstract

本发明提供一种非线性补偿方法及装置，用以解决现有计算偏振复用-波分复用系统非线性损伤补偿的算法计算量大的问题。本发明包括：根据步长值将每个所述信道的距离分成等长度的S段，其中，步长值大于传输信号的色散长度值且小于传输信号的非线性长度值，S为大于1的整数；获取每个信道的色散补偿因子、不同信道间的走离因子以及每个信道中相邻传输信号间的关联系数；根据色散补偿因子，对每个信道S段中的每一段分别进行色散补偿；根据所述关联系数以及所述走离因子，对每个信道S段中的每一段分别进行非线性补偿。本发明在计算非线性损伤补偿时同时考虑到了色散和走离效应的影响，步长可远超过色散长度，有效减少计算步数和总计算量。

Description

一种非线性补偿方法及装置 技术领域
本发明涉及相干光通信技术领域，特别是指一种非线性补偿方法及装置。
背景技术
相干光通信系统因其高灵敏性被普遍认为是一种更有效的通信系统。近年来，数字信号处理DSP技术被应用到相干光通信系统中。利用DSP，可以在电域实现方便廉价的偏振和相位管理。更重要的是，可以在电域对信号损伤进行补偿。目前的非线性损伤补偿算法中，数字后向传播DBP方法被证明是最有前景的，但是DBP方法需要的计算量很大，难以承受。目前实现非线性补偿的关键是设计可以有效降低计算量但不过分影响补偿效果的新型算法。
DBP方法基于解沿后向传播的非线性薛定谔方程NLSE。NLSE是非线性偏微分方程，通常需要数值方法求解。目前，分步傅立叶方法(SSFM)是求解NLSE最有效的方法。SSFM通过假定在传输过程中，光场每通过一小段距离(一步)，色散和非线性效应可以依次分别作用，从而得到一个近似结果。这样，DBP计算所需的计算量与步长成反比。为了减小计算量，应尽量选择更大的步长。但为了保证计算精度，实际计算中选择的步长一般应小于四个特征物理长度——色散长度、非线性长度、走离长度和四波混频FWM长度——的最小值。
目前非线性损伤补偿算法包括三种补偿算法，第一种算法计算步长受走离长度的限制，计算量巨大，难以承受；第二种算法采用显式计算走离的方式计入了走离效应的影响，但计算步长仍然受到色散长度的限制；第三种算法利用前后信道间的关联计入了色散效应的对信道内非线性作用的影响，但此算法不能补偿信道间的非线性作用，不能用于WDM系统。
发明内容
本发明实施例提供了一种非线性补偿方法及装置，用以至少解决现有计算偏振复用-波分复用系统非线性损伤补偿的算法计算量大的问题。
为了至少实现上述目的，本发明实施例提供了一种非线性补偿方法，应用于偏振复用-波分复用系统，所述偏振复用-波分复用系统包括多个用于传输信号的信道，包括：
根据步长值将每个所述信道的距离分成等长度的S段，其中，所述步长值大于所述传输信号的色散长度值且小于所述传输信号的非线性长度值，S为大于1的整数；
获取每个所述信道的色散补偿因子、不同信道间的走离因子以及每个所述信道中相邻传输信号间的关联系数；
根据所述色散补偿因子，对每个所述信道S段中的每一段分别进行色散补偿；
根据所述关联系数以及所述走离因子，对每个所述信道S段中的每一段分别进行非线性补偿。
其中，上述的非线性补偿方法，通过公式：
Hm(ω,h)＝exp[iβ2h(ωm△ω-ω2/2)]
获取每个所述信道的色散补偿因子；其中，m表示第m个信道，△ω是信道间距，h是步长值，i表示虚数，ω是角频率，β2是色散系数。
其中，上述的非线性补偿方法，通过公式：
Figure PCTCN2015073248-appb-000001
获取不同信道间的走离因子；其中，α是损耗系数，h是步长值，dmq表示走离参量，dmq＝β2(ωm-ωq)，z表示传输距离，ω是角频率，m和q表示信道序号。
其中，通过微扰方法或者拟合方法，获取每个所述信道中相邻传输信号间的关联系数。
其中，所述根据所述色散补偿因子，对每个所述信道S段中的每一段进行色散补偿的步骤具体为：
通过公式：
Figure PCTCN2015073248-appb-000002
对每个所述信道S段中的每一段进行色散补偿；其中，x和y表示偏振态，z表示传输距离，
Figure PCTCN2015073248-appb-000003
表示时间t和传输距离z+h处的振幅，
Figure PCTCN2015073248-appb-000004
表示时间t和传输距离z处的振幅，Hm表示色散补偿因子，F表示傅里叶变换，F-1表示傅里叶逆变换。
其中，所述根据所述关联系数以及所述走离因子，对每个所述信道S段中的每一段分别进行非线性补偿的步骤包括：
根据所述关联系数，计算所述信道中相邻传输信号强度的加权平均值，得到所述信道的有效光强；
根据所述关联系数、走离因子以及所述有效光强，获取所述信道的非线性因子；
根据所述有效光强和所述非线性因子，对每个所述信道S段中的每一段进行非线性补偿。
其中，所述根据所述关联系数、走离因子以及所述有效光强，获取所述信道的非线性因子的步骤具体为：
通过公式：
Figure PCTCN2015073248-appb-000005
获取所述信道的非线性因子，所述非线性因子包括：自相位调制SPM和交叉相位调制XPM相移因子；
通过公式：
Figure PCTCN2015073248-appb-000006
获取所述信道的非线性因子，所述非线性因子包括：相干XPM因子；
其中，γ是非线性系数，Wmq表示走离因子，m和q表示信道序号；
heff表示有效步长值，且heff＝[exp(αh)-1]/α，α是损耗系数，h是步长值；
Pxm表示第m个信道x方向的有效光强，Pym表示第m个信道y方向的有效光强；
E yq(ω,z)表示第q个信道y方向信号振幅的傅立叶变换；E xq(ω,z)表示第q个信道x方向信号振幅的傅立叶变换；
R(ω,z)是R(x,y)m＝2P(x,y)m+P(y,x)m的傅立叶变换；
F-1表示傅里叶逆变换。
其中，所述根据所述有效光强和所述非线性因子，对每个所述信道S段中的每一段进行非线性补偿的步骤包括：
通过公式：
Figure PCTCN2015073248-appb-000007
Figure PCTCN2015073248-appb-000008
对每个所述信道S段中的每一段进行非线性补偿；
其中，Exm(t,z+h)表示时间t和距离z+h处x偏振态的振幅；
Eym(t,z+h)表示时间t和距离z+h处y偏振态的振幅；
Exm(t,z)表示时间t和距离z处x偏振态的振幅；
Eym(t,z)表示时间t和距离z处y偏振态的振幅；
φm表示第m个信道的SPM和XPM相移因子；
Qm表示第m个信道的相干XPM因子。
本发明的实施例还提供了一种非线性补偿装置，包括：
划分模块，设置为根据步长值将每个所述信道的距离分成等长度的S段，其中，所述步长值大于所述传输信号的色散长度值且小于所述传输信号的非线性长度值，S为大于1的整数；
获取模块，设置为获取每个所述信道的色散补偿因子、不同信道间的走离因子以及每个所述信道中相邻传输信号间的关联系数；
色散补偿模块，设置为根据所述色散补偿因子，对每个所述信道S段中的每一段分别进行色散补偿；
非线性补偿模块，设置为根据所述关联系数以及所述走离因子，对每个所述信道S段中的每一段分别进行非线性补偿。
其中，上述的非线性补偿装置，所述获取模块包括：
第一获取模块，设置为通过公式Hm(ω,h)＝exp[iβ2h(ωm△ω-ω2/2)]获取每个所述信道的色散补偿因子；其中，m表示第m个信道，△ω是信道间距，h是步长值，i表示虚数，ω是角频率，β2是色散系数；
第二获取模块，设置为通过公式：
Figure PCTCN2015073248-appb-000009
获取不同信道间的走离因子；其中，α是损耗系数，h是步长值，dmq表示走离参量，dmq＝β2(ωm-ωq)，z表示传输距离，ω是角频率，m和q表示信道序号；
第三获取模块，设置为通过微扰方法或者拟合方法，获取每个所述信道中相邻传输信号间的关联系数。
其中，所述色散补偿模块具体通过公式：
Figure PCTCN2015073248-appb-000010
对每个所述信道S段中的每一段进行色散补偿，其中，x和y表示偏振态，z表示传输距离，
Figure PCTCN2015073248-appb-000011
表示时间t和距离z+h处的振幅，
Figure PCTCN2015073248-appb-000012
表示时间t和距离z处的振幅，Hm表示色散补偿因子，F表示傅里叶变换，F-1表示傅里叶逆变换。
其中，所述非线性补偿模块包括：
计算单元，设置为根据所述关联系数，计算所述信道中相邻传输信号强度的加权平均值，得到所述信道的有效光强；
获取单元，设置为根据所述关联系数、走离因子以及所述有效光强，获取所述信道的非线性因子；
补偿单元，设置为根据所述有效光强和所述非线性因子，对每个所述信道S段中的每一段进行非线性补偿。
其中，所述获取单元通过公式：
Figure PCTCN2015073248-appb-000013
获取所述信道的非线性因子，所述非线性因子包括：自相位调制SPM和交叉相位调制XPM相移因子；
所述获取单元通过公式：
Figure PCTCN2015073248-appb-000014
获取所述信道的非线性因子，所述非线性因子包括：相干XPM因子；
其中，γ是非线性系数，Wmq表示走离因子，m和q表示信道序号；
heff表示有效步长值，且heff＝[exp(αh)-1]/α，α是损耗系数，h是步长值；
Pxm表示第m个信道x方向的有效光强，Pym表示第m个信道y方向的有效光强；
E yq(ω,z)表示第q个信道y方向信号振幅的傅立叶变换；E xq(ω,z)表示第q个信道x方向信号振幅的傅立叶变换；
R(ω,z)是R(x,y)m＝2P(x,y)m+P(y,x)m的傅立叶变换；
F-1表示傅里叶逆变换。
其中，所述补偿单元通过公式：
Figure PCTCN2015073248-appb-000015
Figure PCTCN2015073248-appb-000016
对每个所述信道S段中的每一段进行非线性补偿；
其中，Exm(t,z+h)表示时间t和距离z+h处x偏振态的振幅；
Eym(t,z+h)表示时间t和距离z+h处y偏振态的振幅；
Exm(t,z)表示时间t和距离z处x偏振态的振幅；
Eym(t,z)表示时间t和距离z处y偏振态的振幅；
φm表示第m个信道的SPM和XPM相移因子；
Qm表示第m个信道的相干XPM因子。
本发明实施例具有以下有益效果：
本发明实施例的非线性补偿方法，采用显式考虑走离效应的影响并利用相邻信号的关联计入色散效应的影响，使得步长值可以远超过色散长度，有效地减少了计算步数和计算总量。
附图说明
图1表示本发明实施例的工作流程图；
图2表示本发明实施例的实现原理图；
图3表示本发明实施例与现有技术方案的对比仿真效果图；
图4表示本发明实施例的结构框图。
具体实施方式
为使本发明要解决的技术问题、技术方案和优点更加清楚，下面将结合具体实施例及附图进行详细描述。
本发明实施例提供了一种非线性补偿方法及装置，解决了现有计算偏振复用-波分复用系统非线性损伤补偿的算法计算量大的问题。
本发明实施例的非线性补偿方法，应用于偏振复用-波分复用系统，所述偏振复用-波分复用系统包括多个用于传输信号的信道，如图1所示，包括：
步骤S10：根据步长值将每个信道的距离分成等长度的S段，其中，所述步长值大于传输信号的色散长度值且小于传输信号的非线性长度值，S为大于1的整数。
步骤S20：获取每个信道的色散补偿因子、不同信道间的走离因子以及每个信道中相邻传输信号间的关联系数。
在本发明的具体实施例中，通过公式：
Hm(ω,h)＝exp[iβ2h(ωm△ω-ω2/2)]
获取每个信道的色散补偿因子，其中，m表示第m个信道，△ω是信道间距，h是步长值，i表示虚数，ω是角频率，β2是色散系数；
在本发明的具体实施例中，通过公式：
Figure PCTCN2015073248-appb-000017
获取不同信道间的走离因子，其中，α是损耗系数，h是步长值，dmq表示走离参量，dmq＝β2(ωm-ωq)，z表示传输距离，ω是角频率，m和q表示信道序号；
在本发明的具体实施例中，通过微扰方法或者拟合方法，获取每个所述信道中相邻传输信号间的关联系数。
步骤S30：根据色散补偿因子，对每个信道S段中的每一段分别进行色散补偿。
在本发明的具体实施例中，具体的，通过公式：
Figure PCTCN2015073248-appb-000018
对每个信道S段中的每一段进行色散补偿；其中，x和y表示偏振态，z表示传输距离，
Figure PCTCN2015073248-appb-000019
表示时间t和传输距离z+h处的振幅，
Figure PCTCN2015073248-appb-000020
表示时间t和传输距离z处的振幅，Hm表示色散补偿因子，F表示傅里叶变换，F-1表示傅里叶逆变换。
步骤S40：根据关联系数以及走离因子，对每个所述信道S段中的每一段分别进行非线性补偿。
在本发明的具体实施例中，根据关联系数，计算信道中相邻传输信号强度的加权平均值，得到信道的有效光强；
根据关联系数、走离因子以及有效光强，获取信道的非线性因子，其中，非线性因子包括：自相位调制SPM和交叉相位调制XPM相移因子以及相干XPM因子，具体的，通过公式：
Figure PCTCN2015073248-appb-000021
获取自相位调制SPM和交叉相位调制XPM相移因子；
通过公式：
Figure PCTCN2015073248-appb-000022
获取相干XPM因子；
其中，γ是非线性系数，Wmq表示走离因子，m和q表示信道序号；
heff表示有效步长值，且heff＝[exp(αh)-1]/α，α是损耗系数，h是步长值；
Pxm表示第m个信道x方向的有效光强，Pym表示第m个信道y方向的有效光强；
E yq(ω,z)表示第q个信道y方向信号振幅的傅立叶变换；E xq(ω,z)表示第q个信道x方向信号振幅的傅立叶变换；
R(ω,z)是R(x,y)m＝2P(x,y)m+P(y,x)m的傅立叶变换；
F-1表示傅里叶逆变换。
在本发明的具体实施例中，根据有效光强和所述非线性因子，对每个信道S段中的每一段进行非线性补偿，具体的，通过公式：
Figure PCTCN2015073248-appb-000023
Figure PCTCN2015073248-appb-000024
对每个信道S段中的每一段进行非线性补偿；
其中，Exm(t,z+h)表示时间t和距离z+h处x偏振态的振幅；
Eym(t,z+h)表示时间t和距离z+h处y偏振态的振幅；
Exm(t,z)表示时间t和距离z处x偏振态的振幅；
Eym(t,z)表示时间t和距离z处y偏振态的振幅；
φm表示第m个信道的SPM和XPM相移因子；
Qm表示第m个信道的相干XPM因子。
本发明实施例的非线性补偿方法，通过信道的有效光强进一步得到关联效应的非线性相位；通过非线性因子进一步得到走离效应的非线性相位，然后根据关联效应的非线性相位以及走离效应的非线性相位利用上述公式对信道S段中的每一段进行非线性补偿。
本发明实施例的非线性补偿方法，采用显式考虑走离效应的影响，同时利用相邻信号间的关联关系计入色散效应的影响，使得步长值远超过色散长度，有效减少计算步数和总的计算量。
下面举例说明本发明实施例的具体实现过程。
如图2所示，先由划分模块根据步长值将每个所述信道的距离分成等长度的S段，其中，步长值的具体数值根据补偿效果以及总计算量进行权衡；由获取模块通过上述公式分别获取每个信道的色散补偿因子、不同信道间的走离因子，同时通过微扰方法或者拟合方法每个信道中相邻传输信号间的关联系数；色散补偿模块对每个信道S段中的一段进行色散补偿；计算单元根据关联系数，计算信道中相邻传输信号强度的加权平均值，得到每个信道的有效光强；获取单元根据关联系数、走离因子以及有效光强，获取非线性因子；补偿单元根据有效光强以及非线性因子，对每个S段中的一段进行非线性补偿；判断每个信道S段中的每一段是否均完成上述色散补偿和非线性补偿，若判断结果为是，则结束补偿计算，若判断结果为否，则继续对每个信道S段中未进行补偿的部分进行色散补偿和非线性补偿，直至每个信道S段中的每一段均进行完色散补偿和非线性补偿。
本发明实施例的非线性补偿方法，如图3所示，为PDM-WDM系统在非线性补偿下的仿真效果，其中，使用的6信道PDM-16QAM传输仿真数据由VPI软件得到，仿真关键参数为：符号率30GBd，色散系数为17ps/nm，非线性系数VPI默认，频率偏移0.5GHz，激光器线宽100kHz，入纤功率+1dBm，跨距80km，传输距离800km。图中步数指的是每个跨距的步数。由此看出，本发明实施例所需的步数最小，效果值(Q)最佳。
本发明实施例的非线性补偿方法，对每个信道S段中的每一段分别进行色散补偿和非线性补偿，由于本发明同时考虑到了色散和走离效应的影响，使得步长值远超过色散长度，有效减少了计算步数和总计算量。
本发明实施例还提供了一种非线性补偿装置，如图4所示，包括：
划分模块，设置为根据步长值将每个所述信道的距离分成等长度的S段，其中，所述步长值介于所述传输信号的色散长度和非线性长度之间，S为大于1的整数；
获取模块，设置为获取每个所述信道的色散补偿因子、不同信道间的走离因子以及每个所述信道中相邻传输信号间的关联系数；
色散补偿模块，设置为根据所述色散补偿因子，对每个所述信道S段中的每一段分别进行色散补偿；
非线性补偿模块，设置为根据所述关联系数以及所述走离因子，对每个所述信道S段中的每一段分别进行非线性补偿。
本发明实施例的非线性补偿装置，所述获取模块包括：
第一获取模块，设置为通过公式Hm(ω,h)＝exp[iβ2h(ωm△ω-ω2/2)]获取每个所述信道的色散补偿因子；其中，m表示第m个信道，△ω是信道间距，h是步长值，i表示虚数，ω是角频率，β2是色散系数；
第二获取模块，设置为通过公式：
Figure PCTCN2015073248-appb-000025
获取不同信道间的走离因子；其中，α是损耗系数，h是步长值，dmq表示走离参量，dmq＝β2(ωm-ωq)，z表示传输距离，ω是角频率，m和q表示信道序号；
第三获取模块，设置为通过微扰方法或者拟合方法，获取每个所述信道中相邻传输信号间的关联系数。
本发明实施例的非线性补偿装置中，所述色散补偿模块具体通过公式：
Figure PCTCN2015073248-appb-000026
对每个所述信道S段中的每一段进行色散补偿，其中，x和y表示偏振态，z表示传输距离，
Figure PCTCN2015073248-appb-000027
表示时间t和距离z+h处的振幅，
Figure PCTCN2015073248-appb-000028
表示时间t和距离z处的振幅，Hm表示色散补偿因子F表示傅里叶变换，F-1表示傅里叶逆变换。
本发明实施例的非线性补偿装置中，所述非线性补偿模块包括：
计算单元，设置为根据所述关联系数，计算所述信道中相邻传输信号强度的加权平均值，得到所述信道的有效光强；
获取单元，设置为根据所述关联系数、走离因子以及所述有效光强，获取所述信道的非线性因子；
补偿单元，设置为根据所述有效光强和所述非线性因子，对每个所述信道S段中的每一段进行非线性补偿。
本发明实施例的非线性补偿装置中，所述获取单元通过公式：
Figure PCTCN2015073248-appb-000029
获取所述信道的非线性因子，所述非线性因子包括：自相位调制SPM和交叉相位调制XPM相移因子；
所述获取单元通过公式：
Figure PCTCN2015073248-appb-000030
获取所述信道的非线性因子，所述非线性因子包括：相干XPM因子；
其中，γ是非线性系数，Wmq表示走离因子，m和q表示信道序号；
heff表示有效步长值，且heff＝[exp(αh)-1]/α，α是损耗系数，h是步长值；
Pxm表示第m个信道x方向的有效光强，Pym表示第m个信道y方向的有效光强；
E yq(ω,z)表示第q个信道y方向信号振幅的傅立叶变换；E xq(ω,z)表示第q个信道x方向信号振幅的傅立叶变换；
R(ω,z)是R(x,y)m＝2P(x,y)m+P(y,x)m的傅立叶变换；
F-1表示傅里叶逆变换。
本发明实施例的非线性补偿装置中，所述补偿单元通过公式：
Figure PCTCN2015073248-appb-000031
Figure PCTCN2015073248-appb-000032
对每个所述信道S段中的每一段进行非线性补偿；
其中，Exm(t,z+h)表示时间t和距离z+h处x偏振态的振幅；
Eym(t,z+h)表示时间t和距离z+h处y偏振态的振幅；
Exm(t,z)表示时间t和距离z处x偏振态的振幅；
Eym(t,z)表示时间t和距离z处y偏振态的振幅；
φm表示第m个信道的SPM和XPM相移因子；
Qm表示第m个信道的相干XPM因子。
需要说明的是，该装置是与上述方法实施例对应的装置，上述方法实施例中所有实现方式均适用于该装置的实施例中，也能达到相同的技术效果。
本发明实施例的非线性补偿方法及装置，在进行非线性补偿时同时考虑到了色散和走离效应的影响，步长值可以远超过色散长度，有效减少计算步数和总计算量。
以上所述仅为本发明的较佳实施例而已，并不用以限制本发明，凡在本发明的精神和原则之内，所作的任何修改、等同替换、改进等，均应包含在本发明的保护范围之内。
工业实用性
如上所述，本发明实施例提供的一种非线性补偿方法及装置，具有以下有益效果：采用显式考虑走离效应的影响并利用相邻信号的关联计入色散效应的影响，使得步长值可以远超过色散长度，有效地减少了计算步数和计算总量。

Claims (14)

  1. 一种非线性补偿方法，应用于偏振复用-波分复用系统，所述偏振复用-波分复用系统包括多个用于传输信号的信道，包括：
    根据步长值将每个所述信道的距离分成等长度的S段，其中，所述步长值大于所述传输信号的色散长度值且小于所述传输信号的非线性长度值，S为大于1的整数；
    获取每个所述信道的色散补偿因子、不同信道间的走离因子以及每个所述信道中相邻传输信号间的关联系数；
    根据所述色散补偿因子，对每个所述信道S段中的每一段分别进行色散补偿；
    根据所述关联系数以及所述走离因子，对每个所述信道S段中的每一段分别进行非线性补偿。
  2. 根据权利要求1所述的非线性补偿方法，其中，通过公式：
    Hm(ω,h)＝exp[iβ2h(ωmΔω-ω2/2)]
    获取每个所述信道的色散补偿因子；其中，m表示第m个信道，Δω是信道间距，h是步长值，i表示虚数，ω是角频率，β2是色散系数。
  3. 根据权利要求1所述的非线性补偿方法，其中，通过公式：
    Figure PCTCN2015073248-appb-100001
    获取不同信道间的走离因子；其中，α是损耗系数，h是步长值，dmq表示走离参量，dmq＝β2(ωm-ωq)，z表示传输距离，ω是角频率，m和q表示信道序号。
  4. 根据权利要求1所述的非线性补偿方法，其中，通过微扰方法或者拟合方法，获取每个所述信道中相邻传输信号间的关联系数。
  5. 根据权利要求1所述的非线性补偿方法，其中，所述根据所述色散补偿因子，对每个所述信道S段中的每一段进行色散补偿的步骤具体为：
    通过公式：
    Figure PCTCN2015073248-appb-100002
    对每个所述信道S段中的每一段进行色散补偿；其中，x和y表示偏振态，z表示传输距离，
    Figure PCTCN2015073248-appb-100003
    表示时间t和传输距离z+h处的振幅，
    Figure PCTCN2015073248-appb-100004
    表示时间t和传输距离z处的振幅，Hm表示色散补偿因子，F表示傅里叶变换，F-1表示傅里叶逆变换。
  6. 根据权利要求1所述的非线性补偿方法，其中，所述根据所述关联系数以及所述走离因子，对每个所述信道S段中的每一段分别进行非线性补偿的步骤包括：
    根据所述关联系数，计算所述信道中相邻传输信号强度的加权平均值，得到所述信道的有效光强；
    根据所述关联系数、走离因子以及所述有效光强，获取所述信道的非线性因子；
    根据所述有效光强和所述非线性因子，对每个所述信道S段中的每一段进行非线性补偿。
  7. 根据权利要求6所述的非线性补偿方法，其中，所述根据所述关联系数、走离因子以及所述有效光强，获取所述信道的非线性因子的步骤具体为：
    通过公式：
    Figure PCTCN2015073248-appb-100005
    获取所述信道的非线性因子，所述非线性因子包括：自相位调制SPM和交叉相位调制XPM相移因子；
    通过公式：
    Figure PCTCN2015073248-appb-100006
    获取所述信道的非线性因子，所述非线性因子包括：相干XPM因子；
    其中，γ是非线性系数，Wmq表示走离因子，m和q表示信道序号；
    heff表示有效步长值，且heff＝[exp(αh)-1]/α，α是损耗系数，h是步长值；
    Pxm表示第m个信道x方向的有效光强，Pym表示第m个信道y方向的有效光强；
    E yq(ω,z)表示第q个信道y方向信号振幅的傅立叶变换；E xq(ω,z)表示第q个信道x方向信号振幅的傅立叶变换；
    R(ω,z)是R(x,y)m＝2P(x,y)m+P(y,x)m的傅立叶变换；
    F-1表示傅里叶逆变换。
  8. 根据权利要求7所述的非线性补偿方法，其中，所述根据所述有效光强和所述非线性因子，对每个所述信道S段中的每一段进行非线性补偿的步骤包括：
    通过公式：
    Figure PCTCN2015073248-appb-100007
    Figure PCTCN2015073248-appb-100008
    对每个所述信道S段中的每一段进行非线性补偿；
    其中，Exm(t,z+h)表示时间t和距离z+h处x偏振态的振幅；
    Eym(t,z+h)表示时间t和距离z+h处y偏振态的振幅；
    Exm(t,z)表示时间t和距离z处x偏振态的振幅；
    Eym(t,z)表示时间t和距离z处y偏振态的振幅；
    φm表示第m个信道的SPM和XPM相移因子；
    Qm表示第m个信道的相干XPM因子。
  9. 一种非线性补偿装置，应用于偏振复用-波分复用系统，所述偏振复用-波分复用系统包括多个用于传输信号的信道，包括：
    划分模块，设置为根据步长值将每个所述信道的距离分成等长度的S段，其中，所述步长值大于所述传输信号的色散长度值且小于所述信号的非线性长度值，S为大于1的整数；
    获取模块，设置为获取每个所述信道的色散补偿因子、不同信道间的走离因子以及每个所述信道中相邻传输信号间的关联系数；
    色散补偿模块，设置为根据所述色散补偿因子，对每个所述信道S段中的每一段分别进行色散补偿；
    非线性补偿模块，设置为根据所述关联系数以及所述走离因子，对每个所述信道S段中的每一段分别进行非线性补偿。
  10. 根据权利要求9所述的非线性补偿装置，其中，所述获取模块包括：
    第一获取模块，设置为通过公式Hm(ω,h)＝exp[iβ2h(ωmΔω-ω2/2)]获取每个所述信道的色散补偿因子；其中，m表示第m个信道，Δω是信道间距，h是步长值，i表示虚数，ω是角频率，β2是色散系数；
    第二获取模块，设置为通过公式：
    Figure PCTCN2015073248-appb-100009
    获取不同信道间的走离因子；其中，α是损耗系数，h是步长值，dmq表示走离参量，dmq＝β2(ωm-ωq)，z表示传输距离，ω是角频率，m和q表示信道序号；
    第三获取模块，设置为通过微扰方法或者拟合方法，获取每个所述信道中相邻传输信号间的关联系数。
  11. 根据权利要求9所述的非线性补偿装置，其中，所述色散补偿模块具体通过公式：
    Figure PCTCN2015073248-appb-100010
    对每个所述信道S段中的每一段进行色散补偿，其中，x和y表示偏振态，z表示传输距离，
    Figure PCTCN2015073248-appb-100011
    表示时间t和距离z+h处的振幅，
    Figure PCTCN2015073248-appb-100012
    表 示时间t和距离z处的振幅，Hm表示色散补偿因子，F表示傅里叶变换，F-1表示傅里叶逆变换。
  12. 根据权利要求9所述的非线性补偿装置，其中，所述非线性补偿模块包括：
    计算单元，设置为根据所述关联系数，计算所述信道中相邻传输信号强度的加权平均值，得到所述信道的有效光强；
    获取单元，设置为根据所述关联系数、走离因子以及所述有效光强，获取所述信道的非线性因子；
    补偿单元，设置为根据所述有效光强和所述非线性因子，对每个所述信道S段中的每一段进行非线性补偿。
  13. 根据权利要求12所述的非线性补偿方法，其中，所述获取单元通过公式：
    Figure PCTCN2015073248-appb-100013
    获取所述信道的非线性因子，所述非线性因子包括：自相位调制SPM和交叉相位调制XPM相移因子；
    所述获取单元通过公式：
    Figure PCTCN2015073248-appb-100014
    获取所述信道的非线性因子，所述非线性因子包括：相干XPM因子；
    其中，γ是非线性系数，Wmq表示走离因子，m和q表示信道序号；
    heff表示有效步长值，且heff＝[exp(αh)-1]/α，α是损耗系数，h是步长值；
    Pxm表示第m个信道x方向的有效光强，Pym表示第m个信道y方向的有效光强；
    Eyq(ω,z)表示第q个信道y方向信号振幅的傅立叶变换；Exq(ω,z)表示第q个信道x方向信号振幅的傅立叶变换；
    R(ω,z)是R(x,y)m＝2P(x,y)m+P(y,x)m的傅立叶变换；
    F-1表示傅里叶逆变换。
  14. 根据权利要求13所述的非线性补偿装置，其中，所述补偿单元通过公式：
    Figure PCTCN2015073248-appb-100015
    Figure PCTCN2015073248-appb-100016
    对每个所述信道S段中的每一段进行非线性补偿；
    其中，Exm(t,z+h)表示时间t和距离z+h处x偏振态的振幅；
    Eym(t,z+h)表示时间t和距离z+h处y偏振态的振幅；
    Exm(t,z)表示时间t和距离z处x偏振态的振幅；
    Eym(t,z)表示时间t和距离z处y偏振态的振幅；
    φm表示第m个信道的SPM和XPM相移因子；
    Qm表示第m个信道的相干XPM因子。
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