WO2015103805A1 - Frequency-domain dispersion search method based on training sequence - Google Patents

Frequency-domain dispersion search method based on training sequence Download PDF

Info

Publication number
WO2015103805A1
WO2015103805A1 PCT/CN2014/072121 CN2014072121W WO2015103805A1 WO 2015103805 A1 WO2015103805 A1 WO 2015103805A1 CN 2014072121 W CN2014072121 W CN 2014072121W WO 2015103805 A1 WO2015103805 A1 WO 2015103805A1
Authority
WO
WIPO (PCT)
Prior art keywords
dispersion
frequency domain
search
frequency
cost function
Prior art date
Application number
PCT/CN2014/072121
Other languages
French (fr)
Chinese (zh)
Inventor
於涛
许渤
邱昆
Original Assignee
电子科技大学
Priority date (The priority date is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the date listed.)
Filing date
Publication date
Application filed by 电子科技大学 filed Critical 电子科技大学
Publication of WO2015103805A1 publication Critical patent/WO2015103805A1/en

Links

Classifications

    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04LTRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L25/00Baseband systems
    • H04L25/02Details ; arrangements for supplying electrical power along data transmission lines
    • H04L25/0202Channel estimation
    • H04L25/0224Channel estimation using sounding signals
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04LTRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L25/00Baseband systems
    • H04L25/02Details ; arrangements for supplying electrical power along data transmission lines
    • H04L25/0202Channel estimation
    • H04L25/0222Estimation of channel variability, e.g. coherence bandwidth, coherence time, fading frequency

Definitions

  • the present invention relates to the field of frequency domain dispersion search technology, and more particularly to a frequency domain dispersion search method based on training sequences.
  • a coherent detection receiver including digital equalization technology can compensate for all linear channel loss or low nonlinear fiber channel, which makes it possible to color at the receiving end during transmission.
  • Degree dispersion CD, Chromatic Dispersion
  • DCF Dispersion Compensating Fiber
  • the frequency domain equalizer Due to the very low computational complexity and good parallelism of the frequency domain equalization, the Finite Impulse Response (FIR) equalizer and the Least Mean Square equalizer (LMS) in time domain. In contrast, the frequency domain equalizer has become the industry's main focus on the chromatic dispersion balance technology.
  • FIR Finite Impulse Response
  • LMS Least Mean Square equalizer
  • the time domain signal after sampling at the receiving end is first transformed into a frequency domain by a fast Fourier transform (FFT) and multiplied by a frequency domain dispersion compensation function, which can be regarded as a fiber channel.
  • FFT fast Fourier transform
  • IFFT inverse fast Fourier transform
  • a commonly used dispersion estimation method is a frequency domain dispersion search algorithm, which uses a best matching search method to observe the parameters of a set of dispersion filters, which is based on the cost function of calculating the signals after each group of equalizations. Make a judgment to achieve.
  • FIG. 1 is a schematic structural diagram of a fiber coherent communication receiver based on frequency domain dispersion search.
  • the received polarization multiplexed signal is split into two polarization directions by a polarization beam splitter for independent coherent demodulation.
  • the four-channel electrical signal after coherent demodulation first needs to perform double-rate AD sampling and quantization, and then the sampled signal is transformed into the frequency domain by FFT and multiplied by the frequency domain dispersion compensation function to transmit the frequency domain dispersion compensation function according to the transmission.
  • the range of channel dispersion is divided into groups to satisfy different dispersion searches For the long-term needs, a dispersion search is performed based on the compensated frequency domain signal, and the dispersion range of the channel transmission is determined. Finally, the set of frequency domain signals with the best compensation effect is selected to be processed by IFFT to the time domain for subsequent processing.
  • the dispersion search algorithm based on the frequency domain maximum cost function is a commonly used method for searching and estimating the dispersion in the channel.
  • the key of the dispersion search algorithm is to calculate the frequency domain maximum cost function based on the received sampled signals for several possible values of the channel dispersion, and then select the channel dispersion value corresponding to the largest frequency domain cost function value as the result of the dispersion search and estimation.
  • Figure 2 is a schematic diagram of a dispersion search algorithm based on the frequency domain maximum cost function. As shown in Figure 2, the dispersion-based search algorithm based on the frequency domain maximum cost function performs chromatic dispersion estimation by combining the signals in the polarization directions of X and Y.
  • the signal processing method in a single polarization direction is:
  • AU mm + 2 AL, —, Z max represents the number of transmission distance values selected during the dispersion search,
  • represents the resolution of the dispersion search
  • represents the second-order dispersion effect coefficient
  • the frequency domain cost function is related to clock recovery, which is represented by the phase and frequency information of the clock frequency obtained from the autocorrelation function of the complex signal after frequency domain compensation.
  • the frequency domain maximum cost function corresponding to each possible transmission channel dispersion value is defined as: where
  • the influence of the search, as shown in Figure 2, is based on the frequency domain maximum cost function of the dispersion search algorithm, which is X,
  • Y is the average of the most expensive price in the frequency domain corresponding to the direction of polarization, ie,
  • the transmission channel dispersion value is the estimated channel dispersion.
  • the object of the present invention is to overcome the deficiencies of the prior art, and to provide a frequency domain dispersion search method based on a training sequence, which adjusts the 0 ⁇ shift factor and the modulation symbol of the training sequence, which can not only solve the influence of the ADC sampling time, but also allow Use a larger dispersion search to reduce the complexity of the dispersion search.
  • the present invention is based on a frequency domain dispersion search method of a training sequence, comprising the following steps:
  • preprocessing the modulated symbol sequence obtained by the training sequence is: grouping the modulation symbol sequence into a group, which is an integer greater than or equal to 0, and the modulation symbol is separated by 1 group. Set to 0, the rest remains unchanged;
  • the digital coherent optical receiver performs coherent demodulation on the received signal to obtain four electrical signals, and respectively performs two-rate sampling and quantization on each electrical signal;
  • the invention is based on a frequency domain dispersion search method of a training sequence, and uses a modulation symbol sequence obtained by modulating a training sequence to perform frequency domain dispersion search, and the receiving end performs frequency-based transmission on the received continuous sampling signal.
  • FIG. 1 is a schematic structural diagram of a fiber coherent communication receiver based on frequency domain dispersion search
  • FIG. 2 is a schematic diagram of a dispersion search algorithm based on a frequency domain maximum cost function
  • FIG. 3 is a schematic diagram of preprocessing results of a modulation symbol sequence
  • Figure 5 is a comparison of amplitude variation of the frequency domain maximum cost function for different ADC sampling moments;
  • Figure 6 is a simulation result of four channel dispersions in the range of 200 km;
  • Figure 7 is a distribution diagram of 5000 transmission channel dispersion and estimated channel dispersion
  • Figure 8 is a simulation result of four channels of dispersion in a range of 500 km;
  • Figure 9 is a simulation result of four channel dispersions within the adjusted 500 km range. detailed description
  • the invention is based on the frequency domain dispersion search method of the training sequence, mainly achieves the object of the invention by adjusting the training sequence modulation symbol and the shift factor, and the specific steps include:
  • preprocessing the modulated symbol sequence obtained by the training sequence is: grouping the modulation symbol sequence into a group, which is an integer greater than or equal to 0, and the modulation symbol is separated by one group. Set to 0, the rest remains unchanged.
  • FIG. 3 is a schematic diagram of preprocessing results of a sequence of modulation symbols.
  • the modulation symbols when equal to 0, 1, and 2, respectively, comprise a set of 1, 2, and 4 modulation symbols, respectively, and the modulation symbols are all set to 0 for each interval.
  • This preprocessing together with the subsequent shift factor change, can solve the problem that the amplitude of the frequency domain maximum cost function changes with the time of the ADC sampling point, and can also suppress the data after sampling from canceling each other in phase.
  • the digital coherent optical receiver performs coherent demodulation on the received signal to obtain four electrical signals, and performs double-rate sampling and quantization on each electrical signal.
  • the estimated channel dispersion can be directly used for dispersion compensation during the actual data transmission.
  • FIG. 4 is a comparison diagram of dispersion search lengths corresponding to four shift factors. As shown in FIG. 4, four shift factors N ffr /2, N FFT , N FFT I &, N FFT / ⁇ 6.
  • a larger dispersion search length can be used.
  • the search for the dispersion can be as long as 120 km.
  • the dispersion search length the more accurate the search results will be.
  • the present invention can allow a larger dispersion search length to achieve a more accurate dispersion search without biasing the estimated channel dispersion and the transmission channel dispersion. Big.
  • Figure 5 is a comparison of amplitude variation of the frequency domain maximum cost function for different ADC sampling moments.
  • the amplitude variation varies greatly, and the maximum amplitude is not necessarily obtained even in the case of complete compensation without residual dispersion.
  • the four sets of compensated frequency domain signals are respectively determined by the obtained maximum cost function amplitude to determine the range of estimated channel dispersion, that is, which frequency domain maximum cost function has the largest amplitude, and the determined dispersion range is Estimated channel transmission dispersion range.
  • the second-order dispersion coefficient is -20ps A 2/km
  • the optical signal-to-noise ratio is
  • the steady-state frequency offset of the laser is set to 3G and the transient frequency offset is added.
  • 4096 modulation symbols obtained by training sequence modulation are used for simulation, and the receiving end samples each symbol twice.
  • a total of 8192 sampling points are divided into 8 groups, and each group of 1024 points is subjected to FFT and 4 channel transmission distance values are respectively calculated.
  • the frequency domain cost function, the final calculated four frequency domain maximum cost function magnitudes and the decision is made.
  • Figure 6 is a simulation result of four channel dispersions in the range of 200 km.
  • the actual channel dispersion corresponds to transmission distance values of 10, 50, 125, and 200 kilometers, respectively.
  • the four values in each curve are the frequency domain maximum cost function magnitudes of the channel dispersions that compensate for 25, 75, 125, and 175 kilometers, respectively.
  • the frequency domain maximum cost function of 25 km corresponds to the largest amplitude, so the estimated transmission distance value is within 25 km.
  • the frequency domain maximum cost function amplitude corresponding to 25 km and 75 km does not differ much, and the determined channel transmission dispersion is 25 km or It is accurate within 75 km.
  • the actual transmission distance value of 125 km is exactly at the compensated 125 km, and the maximum frequency domain maximum cost function can be obtained.
  • the frequency domain maximum cost function corresponding to 175 km is the largest, so the estimated transmission distance value is within 175 km.
  • Figure 7 is a plot of 5000 transmission channel dispersion and estimated channel dispersion.
  • the reason why the distribution of the transmission channel dispersion and the estimated channel dispersion are slightly different is that the dispersion of the transmission is compensated after being compensated at 50, 100, and 150 km. Either side is correct, such as transmitting 50 km of dispersion, which is the same as the compensation of 25 km and 75 km.
  • the result of the search is 25 km or 75 km.
  • Figure 8 is a graph showing simulation results for four channel dispersions over a range of 500 kilometers.
  • the actual channel dispersion corresponding transmission distance values in the simulation are 10, 250, 312.5, and 500 kilometers, respectively.
  • the commonly used digital coherent optical communication transmission distance values are generally in the range of tens to hundreds of kilometers, so the commonly used values are 0, 1, 2, 3.

Abstract

A frequency-domain dispersion search method based on a training sequence, comprising performing a frequency-domain dispersion search using a modulation symbol sequence obtained by modulating a training sequence. A shift factor ΩCT = NFFT/2K+2 is used when a receiving end performs a dispersion search based on a frequency-domain maximum cost function on a continuous sampling signal which was received, where K is an integer greater than or equal to 0; and at the same time, the following preprocessing is correspondingly performed on a modulation symbol sequence of a sending end: taking 2Κ modulation symbol sequences as a group, and setting all the modulation symbols as zero at each interval of one group, with the others remaining unchanged. Thus, the problem that the amplitude of a frequency-domain maximum cost function changes with an ADC sampling point moment is solved, and a larger chromatic dispersion search step length may be allowed to be used to perform a chromatic dispersion search, thereby reducing the number of searches, lowering the complexity of the algorithm and saving system resources.

Description

说 明 书 基于训练序列的频域色散搜索方法 技术领域 本发明属于频域色散搜索技术领域, 更为具体地讲, 涉及一种基于训练序 列的频域色散搜索方法。 背景技术 随着光纤相干通信技术的发展, 包含有数字均衡技术的相干检测接收机能 够对所有的线性信道损耗或者低非线性光纤信道进行补偿, 这就使得在传输过 程中可以在接收端对色度色散 (CD, Chromatic Dispersion)进行数字均衡而不必通 过色散补偿光纤 (DCF, Dispersion Compensating Fiber)在光域进行补偿。 在常用 的数字均衡方法中有时域均衡和频域均衡两种方式。 由于频域均衡具有非常低 的计算复杂度以及良好的并行度, 与时域的光纤色散有限脉冲响应 (FIR, Finite Impulse Response)均衡器和自适应最小均方 (LMS, Least Mean Square)均衡器相 比, 频域均衡器成为行业主要关注的色度色散均衡技术。  FIELD OF THE INVENTION The present invention relates to the field of frequency domain dispersion search technology, and more particularly to a frequency domain dispersion search method based on training sequences. BACKGROUND OF THE INVENTION With the development of fiber coherent communication technology, a coherent detection receiver including digital equalization technology can compensate for all linear channel loss or low nonlinear fiber channel, which makes it possible to color at the receiving end during transmission. Degree dispersion (CD, Chromatic Dispersion) performs digital equalization without compensating in the optical domain by Dispersion Compensating Fiber (DCF). In the commonly used digital equalization methods, there are two ways of domain equalization and frequency domain equalization. Due to the very low computational complexity and good parallelism of the frequency domain equalization, the Finite Impulse Response (FIR) equalizer and the Least Mean Square equalizer (LMS) in time domain. In contrast, the frequency domain equalizer has become the industry's main focus on the chromatic dispersion balance technology.
在基于频域的方法中, 首先将接收端经过采样以后的时域信号利用快速傅 里叶变换 (FFT)变换到频域再乘以频域色散补偿函数, 该补偿函数可以看作是光 纤信道传输的色散函数的反函数, 最后将补偿以后的频域信号通过逆快速傅里 叶变换 (IFFT)变换到时域恢复成连续的数据流。该方法的缺点是必须在事先知道 信道色散大小的基础上才能利用频域色散补偿函数。 然而, 由于动态光网络环 境下传输链路的色散值是可变的, 需要先对信道中的色散大小进行估计。  In the frequency domain based method, the time domain signal after sampling at the receiving end is first transformed into a frequency domain by a fast Fourier transform (FFT) and multiplied by a frequency domain dispersion compensation function, which can be regarded as a fiber channel. The inverse function of the transmitted dispersion function, and finally the compensated frequency domain signal is transformed into a continuous data stream by inverse fast Fourier transform (IFFT) transformation to the time domain. The disadvantage of this method is that the frequency domain dispersion compensation function must be utilized on the basis of knowing the channel dispersion size in advance. However, since the dispersion value of the transmission link is variable in a dynamic optical network environment, the amount of dispersion in the channel needs to be estimated first.
目前一种常用的色散估计方法为频域色散搜索算法, 该算法采用一种最佳 匹配搜索的方式通过观测一组色散滤波器的参数, 该参数是根据计算每组均衡 以后的信号的代价函数做出判别来实现的。  At present, a commonly used dispersion estimation method is a frequency domain dispersion search algorithm, which uses a best matching search method to observe the parameters of a set of dispersion filters, which is based on the cost function of calculating the signals after each group of equalizations. Make a judgment to achieve.
图 1是基于频域色散搜索的光纤相干通信接收机结构示意图。 如图 1所示, 接收到的偏振复用信号经过偏振分束器分成两个偏振方向的信号进行独立的相 干解调。 相干解调后的 4路电信号首先需要进行两倍速率的 AD采样和量化, 然后将采样以后的信号通过 FFT变换到频域再乘以频域色散补偿函数, 将频域 色散补偿函数根据传输的信道色散的范围分成若干组以满足对不同的色散搜索 歩长的需要, 根据补偿以后的频域信号做色散搜索, 判决出信道传输的色散范 围。最后,选择补偿效果最好的那组频域信号通过 IFFT变换到时域做后续处理。 1 is a schematic structural diagram of a fiber coherent communication receiver based on frequency domain dispersion search. As shown in FIG. 1, the received polarization multiplexed signal is split into two polarization directions by a polarization beam splitter for independent coherent demodulation. The four-channel electrical signal after coherent demodulation first needs to perform double-rate AD sampling and quantization, and then the sampled signal is transformed into the frequency domain by FFT and multiplied by the frequency domain dispersion compensation function to transmit the frequency domain dispersion compensation function according to the transmission. The range of channel dispersion is divided into groups to satisfy different dispersion searches For the long-term needs, a dispersion search is performed based on the compensated frequency domain signal, and the dispersion range of the channel transmission is determined. Finally, the set of frequency domain signals with the best compensation effect is selected to be processed by IFFT to the time domain for subsequent processing.
基于频域最大值代价函数的色散搜索算法是一种常用的对信道中的色散进 行搜索估计的方法。 该色散搜索算法的关键是, 基于接收到的采样信号对信道 色散的若干可能值计算频域最大值代价函数, 然后选取最大的频域代价函数值 对应的信道色散值作为色散搜索和估计的结果。 图 2 是基于频域最大值代价函 数的色散搜索算法示意图。 如图 2 所示的基于频域最大值代价函数的色散搜索 算法, 该算法通过对 X、 Y两路偏振方向上的信号进行联合处理进行色散估计, 单个偏振方向上的信号处理方法为:  The dispersion search algorithm based on the frequency domain maximum cost function is a commonly used method for searching and estimating the dispersion in the channel. The key of the dispersion search algorithm is to calculate the frequency domain maximum cost function based on the received sampled signals for several possible values of the channel dispersion, and then select the channel dispersion value corresponding to the largest frequency domain cost function value as the result of the dispersion search and estimation. . Figure 2 is a schematic diagram of a dispersion search algorithm based on the frequency domain maximum cost function. As shown in Figure 2, the dispersion-based search algorithm based on the frequency domain maximum cost function performs chromatic dispersion estimation by combining the signals in the polarization directions of X and Y. The signal processing method in a single polarization direction is:
首先, 将接收到的连续采样信号 ]按 FFT 变换点数 分成 N组为
Figure imgf000004_0001
= l,2,-,N , 利用 FFT 将每一组信号变换到频域生成数字谱为 Rp [M],M = _NFFr/2,---,NFFr/2_l。 其次, 根据传输的信道色散范围对 M个可能的传输信道色散值定义频域色 散 补 偿 函 数 Hcz M = eXp (2 △/) ί = \,2,···,Μ 其 中 =Umin + AUmm +2AL,—,Zmax表示色散搜索时选定的若干传输距离值, 歩长
First, the received continuous sampling signal is divided into N groups according to the number of FFT conversion points.
Figure imgf000004_0001
= l,2,-,N , transform each set of signals into the frequency domain using FFT to generate a digital spectrum of R p [M], M = _N FFr /2, ---, N FFr /2_l. Secondly, according to the channel dispersion range of the transmission, the frequency domain dispersion compensation function H cz M = eX p (2 Δ/) ί = \, 2, ····, Μ where =U min + is defined for the M possible transmission channel dispersion values. AU mm + 2 AL, —, Z max represents the number of transmission distance values selected during the dispersion search,
ΔΙ表示色散搜索的分辨率, ^表示二阶色散效应系数, Δ/表示频域采样间隔 Af = R NFFT , 表示采样速率。 然后, 利用该频域色散补偿函数可以得到对应于 M个可能的传输信道色散 值的频域补偿后的信号组 ,;· W = HCD. [n]-Rp [n], 根据该补偿后的信号可以定义 頃域代价函数 c^[QCT]= £(R [M]0+nCTD, 其中。^表示移位因子, 上标 ΔΙ represents the resolution of the dispersion search, ^ represents the second-order dispersion effect coefficient, and Δ/ represents the frequency domain sampling interval Af = RN FFT , which represents the sampling rate. Then, the frequency domain dispersion compensation function can be-signal-set corresponding to the M possible transmission channel dispersion values in the frequency domain compensation,; · W = H CD [ n] -R p [n], in accordance with the compensation. The latter signal can define the domain cost function c^[Q CT ]= £(R [M]0+n CT D, where .^ denotes the shift factor, superscript
«二 1  «二 1
*表示复共轭。 频域代价函数与时钟恢复相关, 它是利用从频域补偿后的复信号 的自相关函数中得到的时钟频率的相位和频率信息来表示的。 最后, 定义每个可能的传输信道色散值对应的频域最大值代价函数为: 其中 |(^·[Ω^]|表示 C cr]的幅度。 为了降低偏振效应对
Figure imgf000004_0002
搜索的影响,如图 2所示的基于频域最大值代价函数的色散搜索算法中,是将 X、
* indicates complex conjugate. The frequency domain cost function is related to clock recovery, which is represented by the phase and frequency information of the clock frequency obtained from the autocorrelation function of the complex signal after frequency domain compensation. Finally, the frequency domain maximum cost function corresponding to each possible transmission channel dispersion value is defined as: where |(^·[Ω^]| represents the magnitude of C cr ].
Figure imgf000004_0002
The influence of the search, as shown in Figure 2, is based on the frequency domain maximum cost function of the dispersion search algorithm, which is X,
Y 两 路 偏 振 方 向 上 对 应 的 频 域 最 大 代 价 进 行 平 均 , 即 、 Y is the average of the most expensive price in the frequency domain corresponding to the direction of polarization, ie,
JFD ] = ]| 。 M个频域最大值代价中最大值对应的
Figure imgf000005_0001
J FD ] = ]| The maximum value of the M frequency domain maximum costs corresponds to
Figure imgf000005_0001
传输信道色散值即为估计得到的信道色散。 The transmission channel dispersion value is the estimated channel dispersion.
然而, 在上述的基于频域最大值代价函数的色散搜索算法中, 存在两个问 题: 首先, 在最常用的两倍速率采样下, 采用 nCT = N^r/2, 然而在这种情况下, 频域最大值代价函数的幅度会随着 ADC采样点时刻的变化而变化, 导致很大的 性能差异, 甚至造成色散搜索模块无法正常工作。 其次, 在色散搜索算法中, 需要尝试的色散值的个数决定了色散搜索算法的复杂度。 在传统的色散搜索算 法中, 需要使用很小的色散搜索歩长 ΔΙ才能保证能够获得正确的色散估计值, 在实际的处理过程中需要多组频域色散补偿函数来实现对所要求的色散范围的 搜索, 这在硬件实现上是很浪费资源的。 发明内容 However, in the above-mentioned dispersion-based search algorithm based on the frequency domain maximum cost function, there are two problems: First, under the most commonly used double rate sampling, n CT = N^ r / 2 is used , but in this case Next, the amplitude of the frequency domain maximum cost function will change with the time of the sampling point of the ADC, resulting in a large performance difference, and even causing the dispersion search module to not work properly. Secondly, in the dispersion search algorithm, the number of dispersion values that need to be tried determines the complexity of the dispersion search algorithm. In the traditional dispersion search algorithm, it is necessary to use a small dispersion search length ΔΙ to ensure that the correct dispersion estimation value can be obtained. In the actual processing, multiple sets of frequency domain dispersion compensation functions are needed to achieve the required dispersion range. Search, this is a waste of resources in hardware implementation. Summary of the invention
本发明的目的在于克服现有技术的不足, 提供一种基于训练序列的频域色 散搜索方法, 调整了 0^移位因子以及训练序列的调制符号, 既可以解决 ADC 采样时刻的影响, 又允许使用较大的色散搜索歩长, 降低色散搜索的复杂度。  The object of the present invention is to overcome the deficiencies of the prior art, and to provide a frequency domain dispersion search method based on a training sequence, which adjusts the 0^ shift factor and the modulation symbol of the training sequence, which can not only solve the influence of the ADC sampling time, but also allow Use a larger dispersion search to reduce the complexity of the dispersion search.
为实现上述发明目的, 本发明基于训练序列的频域色散搜索方法, 包括以 下歩骤:  To achieve the above object, the present invention is based on a frequency domain dispersion search method of a training sequence, comprising the following steps:
S1 : 在发送端, 对训练序列经过调制得到的调制符号序列进行预处理, 预 处理方法为: 将调制符号序列以 ^个为一组, 为大于等于 0的整数, 每间隔 1组将调制符号全置为 0, 其余保持不变;  S1: At the transmitting end, preprocessing the modulated symbol sequence obtained by the training sequence, and the preprocessing method is: grouping the modulation symbol sequence into a group, which is an integer greater than or equal to 0, and the modulation symbol is separated by 1 group. Set to 0, the rest remains unchanged;
S2: 数字相干光接收机对接收到的信号进行相干解调得到 4路电信号, 对 每路电信号分别进行两倍速率采样和量化;  S2: The digital coherent optical receiver performs coherent demodulation on the received signal to obtain four electrical signals, and respectively performs two-rate sampling and quantization on each electrical signal;
S3: 对歩骤 S2中的连续采样信号进行基于频域最大值代价函数的色散搜索 得到估计信道的色散范围, 其中移位因子 QCT = NF^/2^2S3: performing a dispersion search based on a frequency domain maximum cost function on the continuous sampled signal in step S2 to obtain a dispersion range of the estimated channel, wherein the shift factor Q CT = N F ^/2^ 2 .
本发明基于训练序列的频域色散搜索方法, 采用训练序列经过调制得到的 调制符号序列进行频域色散搜索, 接收端对接收到的连续采样信号进行基于频 域最大值代价函数的色散搜索时采用不同移位因子 QCT = NF^/2^2, K为大于等 于 0 的整数, 同时相对应的对发送端的调制符号序列进行如下预处理: 将调制 符号序列以 ^个为一组, 每间隔 1组将调制符号全置为 0, 其余保持不变, 这 样既解决了频域最大值代价函数的幅度随 ADC采样点时刻变化而变化的问题又 可以允许采用较大色散搜索歩长进行色散搜索, 从而减少搜索次数, 降低算法 复杂度, 节约系统资源。 附图说明 The invention is based on a frequency domain dispersion search method of a training sequence, and uses a modulation symbol sequence obtained by modulating a training sequence to perform frequency domain dispersion search, and the receiving end performs frequency-based transmission on the received continuous sampling signal. The dispersion search of the domain maximum cost function uses different shift factors Q CT = N F ^/2^ 2 , K is an integer greater than or equal to 0, and the corresponding modulation symbol sequence at the transmitting end is preprocessed as follows: The symbol sequence is grouped by ^, and the modulation symbol is set to 0 every interval of 1 group, and the rest remains unchanged. This solves the problem that the amplitude of the frequency domain maximum cost function varies with the ADC sampling point time. It allows the dispersion search to be performed with a larger dispersion search length, thereby reducing the number of searches, reducing the complexity of the algorithm, and saving system resources. DRAWINGS
图 1基于频域色散搜索的光纤相干通信接收机结构示意图;  FIG. 1 is a schematic structural diagram of a fiber coherent communication receiver based on frequency domain dispersion search;
图 2是基于频域最大值代价函数的色散搜索算法示意图;  2 is a schematic diagram of a dispersion search algorithm based on a frequency domain maximum cost function;
图 3是调制符号序列的预处理结果示意图;  3 is a schematic diagram of preprocessing results of a modulation symbol sequence;
图 4是四种移位因子对应的色散搜索歩长对比图;  4 is a comparison diagram of dispersion search lengths corresponding to four shift factors;
图 5是不同 ADC采样时刻下频域最大值代价函数幅度变化对比图; 图 6是对 200公里范围内 4个信道色散的仿真结果图;  Figure 5 is a comparison of amplitude variation of the frequency domain maximum cost function for different ADC sampling moments; Figure 6 is a simulation result of four channel dispersions in the range of 200 km;
图 7是 5000个传输信道色散与估计信道色散的分布图;  Figure 7 is a distribution diagram of 5000 transmission channel dispersion and estimated channel dispersion;
图 8是对 500公里范围内 4个信道色散的仿真结果图;  Figure 8 is a simulation result of four channels of dispersion in a range of 500 km;
图 9是调整后的 500公里范围内 4个信道色散的仿真结果图。 具体实施方式  Figure 9 is a simulation result of four channel dispersions within the adjusted 500 km range. detailed description
下面结合附图对本发明的具体实施方式进行描述, 以便本领域的技术人员 更好地理解本发明。 需要特别提醒注意的是, 在以下的描述中, 当已知功能和 设计的详细描述也许会淡化本发明的主要内容时, 这些描述在这里将被忽略。 实施例  The specific embodiments of the present invention are described below in conjunction with the drawings in order to provide a better understanding of the invention. It is to be noted that in the following description, when a detailed description of known functions and designs may dilute the main content of the present invention, these descriptions will be omitted herein. Example
本发明基于训练序列的频域色散搜索方法, 主要是通过对训练序列调制符 号和移位因子的调整来实现发明目的, 其具体歩骤包括:  The invention is based on the frequency domain dispersion search method of the training sequence, mainly achieves the object of the invention by adjusting the training sequence modulation symbol and the shift factor, and the specific steps include:
S101 : 在发送端, 对训练序列经过调制得到的调制符号序列进行预处理, 预处理方法为: 将调制符号序列以 ^个为一组, 为大于等于 0的整数, 每间 隔 1组将调制符号全置为 0, 其余保持不变。  S101: At the transmitting end, preprocessing the modulated symbol sequence obtained by the training sequence, and the preprocessing method is: grouping the modulation symbol sequence into a group, which is an integer greater than or equal to 0, and the modulation symbol is separated by one group. Set to 0, the rest remains unchanged.
图 3是调制符号序列的预处理结果示意图。 如图 3所示, 对于同一个基础 调制符号, 当 分别等于 0、 1、 2时, 一组分别包括 1、 2、 4个调制符号, 每 间隔 1组将调制符号全置为 0。这种预处理再加上后续的移位因子的变化可以解 决频域最大值代价函数的幅度随着 ADC采样点时刻的变化而变化的问题, 也可 以抑制采样以后的数据在相位上相互抵消。 3 is a schematic diagram of preprocessing results of a sequence of modulation symbols. As shown in Figure 3, for the same foundation The modulation symbols, when equal to 0, 1, and 2, respectively, comprise a set of 1, 2, and 4 modulation symbols, respectively, and the modulation symbols are all set to 0 for each interval. This preprocessing, together with the subsequent shift factor change, can solve the problem that the amplitude of the frequency domain maximum cost function changes with the time of the ADC sampling point, and can also suppress the data after sampling from canceling each other in phase.
S102: 数字相干光接收机对接收到的信号进行相干解调得到 4路电信号, 对每路电信号分别进行两倍速率采样和量化。  S102: The digital coherent optical receiver performs coherent demodulation on the received signal to obtain four electrical signals, and performs double-rate sampling and quantization on each electrical signal.
S103 : 对歩骤 S2中的连续采样信号进行基于频域最大值代价函数的色散搜 索得到估计信道的色散范围, 其中移位因子 QCT = NF^/2^2。 可见, 当 分别等 于 0、 1、 2时, 对应的移位因子。^分别为 Nffr/4、 U N^/16。 采用本 发明的移位因子, 相对于现有技术中为 A^r/2的移位因子, 可以采用较大的色 散搜索歩长 ΔΙ实现色散搜索。 S103: performing a dispersion search based on a frequency domain maximum cost function on the continuous sampling signal in step S2 to obtain a dispersion range of the estimated channel, where the shift factor Q CT = N F ^/2^ 2 . It can be seen that when respectively equal to 0, 1, 2, the corresponding shift factor. ^ are N ffr / 4 and UN^/16, respectively. With the shift factor of the present invention, the dispersion search can be realized with a larger dispersion search length ΔΙ relative to the shift factor of A^ r / 2 in the prior art.
在得到估计信道的色散范围后, 在实际数据传输过程中, 即可直接使用该 估计信道色散进行色散补偿。  After obtaining the dispersion range of the estimated channel, the estimated channel dispersion can be directly used for dispersion compensation during the actual data transmission.
图 4是四种移位因子对应的色散搜索歩长对比图。 如图 4所示, 四种移位 因子 Nffr/2、 NFFT 、 N FFT I &、 NFFT/\6。 该仿真是在 112Gb/s PDM-QPSK系统 实现的, 其中传输符号速率为 28GBaud/s, 设定的信道色散为 100公里, 对应图 4中各频域最大值代价函数的峰值点。 可以看出, 当移位因子 QCT = N^r/2时, 实际可以采用的色散搜索歩长很小需要计算大量的频域最大值代价函数来确定 信道色散的范围。 而采用其他三种移位因子则可以采用较大的色散搜索歩长, 例如 QCT = Nffr/16时, 能够实现搜索的色散搜索歩长在 120 公里左右。 当然, 色散搜索歩长越小, 其搜索的结果就会越准确。 但是在对算法复杂度和硬件资 源限制较大的情况下, 采用本发明可以允许采用较大的色散搜索歩长来实现较 准确的色散搜索, 而不至于使估计信道色散与传输信道色散偏差过大。 FIG. 4 is a comparison diagram of dispersion search lengths corresponding to four shift factors. As shown in FIG. 4, four shift factors N ffr /2, N FFT , N FFT I &, N FFT /\6. The simulation is implemented in a 112 Gb/s PDM-QPSK system in which the transmission symbol rate is 28 GBaud/s and the channel dispersion is set to 100 km, corresponding to the peak point of the maximum cost function of each frequency domain in FIG. It can be seen that when the shift factor Q CT = N^ r / 2 , the actual dispersion search length that can be used is small. It is necessary to calculate a large number of frequency domain maximum cost functions to determine the range of channel dispersion. With the other three shift factors, a larger dispersion search length can be used. For example, when Q CT = N ffr /16, the search for the dispersion can be as long as 120 km. Of course, the smaller the dispersion search length, the more accurate the search results will be. However, in the case of large limitations on algorithm complexity and hardware resources, the present invention can allow a larger dispersion search length to achieve a more accurate dispersion search without biasing the estimated channel dispersion and the transmission channel dispersion. Big.
图 5是不同 ADC采样时刻下频域最大值代价函数幅度变化对比图。 在图 5 的对比仿真中, 当移位因子 nCT = Nffr/2时, 对训练序列经过调制得到的调制符 号序列不进行预处理, 可见在不同的 ADC采样时刻下频域最大值代价函数的幅 度变化差异较大, 即使在完全补偿不存在残余色散的情况下也不一定会得到最 大的幅度。 而当移位因子 QCT = Nffr/16时, 对训练序列经过调制得到的调制符 号进行了预处理, 可见不同的 ADC采样时刻对频域最大值代价函数的幅度几乎 没有影响。 Figure 5 is a comparison of amplitude variation of the frequency domain maximum cost function for different ADC sampling moments. In the comparative simulation of Fig. 5, when the shift factor n CT = N ffr / 2 , the modulation symbol sequence obtained by the training sequence is not preprocessed, and the frequency domain maximum cost function can be seen at different ADC sampling moments. The amplitude variation varies greatly, and the maximum amplitude is not necessarily obtained even in the case of complete compensation without residual dispersion. When the shift factor Q CT = N ffr /16, the modulation symbols obtained by the training sequence are preprocessed, and the amplitudes of the cost parameters of the frequency domain are almost different for different ADC sampling moments. No effect.
下面以移位因子 QCT = Nffr/16为例进行本发明的色散搜索仿真。 对于 ncT = NFFT/l6 , 此时只需要 4个频域色散补偿函数即可通过基于频域最大值代 价函数的色散搜索实现信道色散在 200 公里范围内任意色散值的搜索。 设置 匪 = 25公里, ΔΙ = 50公里, 此时 Α = 25、 2 = 75、 3 = 125、 L4 = \75 , 即分别 补偿 25公里、 75公里、 125公里以及 175公里。 最后将四组补偿以后的频域信 号分别通过求取的最大值代价函数幅度来判决出估计信道色散的范围, 即哪个 频域最大值代价函数的幅度最大, 其 Α·确定的色散范围即为估计的信道传输色 散范围。 The dispersion search simulation of the present invention is performed by taking the shift factor Q CT = N ffr / 16 as an example. For n cT = N FFT /l6 , only four frequency domain dispersion compensation functions are needed at this time to search for arbitrary dispersion values of channel dispersion in the range of 200 km by dispersion search based on the frequency domain maximum cost function. Set 匪 = 25 km, ΔΙ = 50 km, at this time Α = 25, 2 = 75, 3 = 125, L 4 = \75, ie compensate 25 km, 75 km, 125 km and 175 km respectively. Finally, the four sets of compensated frequency domain signals are respectively determined by the obtained maximum cost function amplitude to determine the range of estimated channel dispersion, that is, which frequency domain maximum cost function has the largest amplitude, and the determined dispersion range is Estimated channel transmission dispersion range.
在 112Gb/s PDM-QPSK调制系统中二阶色散系数为 -20psA2/km,光信噪比为In the 112Gb/s PDM-QPSK modulation system, the second-order dispersion coefficient is -20ps A 2/km, and the optical signal-to-noise ratio is
12dB,激光器的稳态频偏设为 3G并加上暂态频偏。传输中利用训练序列调制得 到的 4096个调制符号进行仿真, 接收端对每个符号采样两次, 共 8192个采样 点分成 8组,每组 1024个点做 FFT分别采用 4个信道传输距离值计算频域代价 函数, 最后计算出的 4个频域最大值代价函数幅度并做出判决。 12dB, the steady-state frequency offset of the laser is set to 3G and the transient frequency offset is added. In the transmission, 4096 modulation symbols obtained by training sequence modulation are used for simulation, and the receiving end samples each symbol twice. A total of 8192 sampling points are divided into 8 groups, and each group of 1024 points is subjected to FFT and 4 channel transmission distance values are respectively calculated. The frequency domain cost function, the final calculated four frequency domain maximum cost function magnitudes and the decision is made.
图 6是对 200公里范围内 4个信道色散的仿真结果图。 如图 6所示, 实际 的信道色散对应的传输距离值分别为 10、 50、 125、 200公里。 每条曲线中的 4 个值分别为补偿 25、 75、 125、 175公里对应的信道色散的频域最大值代价函数 幅度。 当实际传输距离值为 10公里时, 在 4个频域最大值代价函数幅度中, 25 公里对应的频域最大值代价函数幅度最大, 因此估计得到的传输距离值在 25公 里的范围内。 由于实际传输距离值 50公里的色散位于补偿的 25、 75公里的中 点处, 因此 25公里和 75公里对应的频域最大值代价函数幅度差别不大, 判决 出的信道传输色散在 25公里或 75公里范围内都是准确的。实际传输距离值 125 公里的色散正好位于补偿的 125 公里处, 这时候可以得到最大的频域最大值代 价函数。实际传输距离值为 200公里时, 175公里对应的频域最大值代价函数幅 度最大, 因此估计得到的传输距离值在 175公里范围内。  Figure 6 is a simulation result of four channel dispersions in the range of 200 km. As shown in Fig. 6, the actual channel dispersion corresponds to transmission distance values of 10, 50, 125, and 200 kilometers, respectively. The four values in each curve are the frequency domain maximum cost function magnitudes of the channel dispersions that compensate for 25, 75, 125, and 175 kilometers, respectively. When the actual transmission distance value is 10 km, among the four frequency domain maximum cost function amplitudes, the frequency domain maximum cost function of 25 km corresponds to the largest amplitude, so the estimated transmission distance value is within 25 km. Since the dispersion of the actual transmission distance value of 50 km is located at the midpoint of the compensated 25 and 75 km, the frequency domain maximum cost function amplitude corresponding to 25 km and 75 km does not differ much, and the determined channel transmission dispersion is 25 km or It is accurate within 75 km. The actual transmission distance value of 125 km is exactly at the compensated 125 km, and the maximum frequency domain maximum cost function can be obtained. When the actual transmission distance value is 200 km, the frequency domain maximum cost function corresponding to 175 km is the largest, so the estimated transmission distance value is within 175 km.
为了使仿真结果更具一般性, 仿真中在 200公里色散范围内随机产生 5000 个不同的传输信道色散, 仿真条件与上面的一样。 图 7是 5000个传输信道色散 与估计信道色散的分布图。 如图 7 所示, 图中传输信道色散与估计信道色散的 分布有略微差异的原因在于传输的色散在 50、 100、 150公里时经补偿后判决给 任何一边都是正确的, 比如传输 50公里的色散, 它与补偿 25公里、 75公里的 距离是一样的, 搜索的结果属于 25公里或 75公里都是准确的。 In order to make the simulation results more general, in the simulation, 5000 different transmission channel dispersions are randomly generated in the range of 200 km dispersion, and the simulation conditions are the same as above. Figure 7 is a plot of 5000 transmission channel dispersion and estimated channel dispersion. As shown in Fig. 7, the reason why the distribution of the transmission channel dispersion and the estimated channel dispersion are slightly different is that the dispersion of the transmission is compensated after being compensated at 50, 100, and 150 km. Either side is correct, such as transmitting 50 km of dispersion, which is the same as the compensation of 25 km and 75 km. The result of the search is 25 km or 75 km.
此外, 还对 500公里范围内的色散搜索进行了仿真。 图 8是对 500公里范 围内 4个信道色散的仿真结果图。 类似地, 该仿真中实际的信道色散对应的传 输距离值分别为 10、 250、 312.5、 500公里, 设置频域色散补偿函数的色散搜索 歩长 ΔΙ =125公里,分别补偿 62.5公里、 187.5公里、 312.5公里以及 437.5公里, 移位因子 QCT = N^r/16。通过仿真发现在 QCT = N^r/16时, 虽然能够做出准确的 搜索, 但是只有当传输信道色散靠近补偿的信道色散时频域最大值代价函数的 最大值与最小值之比才更有利于判决。 因此进一歩改变移位因子。^的大小, 即 令 = 3, 使得。cr = WFFr/32, 相应地, 传输的训练序列调制符号应以 8个调制 符号为一组, 每间隔一组置为 0, 其它的调制符号保持不变。 图 9 是调整后的 500公里范围内 4个信道色散的仿真结果图。 如图 9所示, 与图 8相比较, 可以 看出 4个频域最大值代价函数幅度的差值更明显, 更有利于做出准确的搜索。 可见, 随着搜索范围的增大, 可相应地增大 值。 目前常用的数字相干光通信 传输距离值一般在几十到数百公里, 因此常用的 值为 0、 1、 2、 3。 In addition, the dispersion search within a range of 500 km was simulated. Figure 8 is a graph showing simulation results for four channel dispersions over a range of 500 kilometers. Similarly, the actual channel dispersion corresponding transmission distance values in the simulation are 10, 250, 312.5, and 500 kilometers, respectively. The dispersion search length ΔΙ = 125 km of the frequency domain dispersion compensation function is set, and the compensation is 62.5 km and 187.5 km, respectively. 312.5 km and 437.5 km, shift factor Q CT = N^ r /16. It is found by simulation that when Q CT = N^ r /16, although an accurate search can be made, only when the transmission channel dispersion is close to the compensated channel dispersion, the ratio of the maximum value to the minimum value of the frequency domain maximum cost function is more Conducive to the judgment. Therefore, the shift factor is changed further. The size of ^, ie, = 3, makes. Cr = W FFr /32, correspondingly, the transmitted training sequence modulation symbols shall be grouped with 8 modulation symbols, each set is set to 0, and the other modulation symbols remain unchanged. Figure 9 is a simulation result of four channels of dispersion in the adjusted 500 km range. As shown in Fig. 9, compared with Fig. 8, it can be seen that the difference between the amplitudes of the four frequency domain maximum cost functions is more obvious, which is more conducive to making an accurate search. It can be seen that as the search range increases, the value can be increased accordingly. At present, the commonly used digital coherent optical communication transmission distance values are generally in the range of tens to hundreds of kilometers, so the commonly used values are 0, 1, 2, 3.
尽管上面对本发明说明性的具体实施方式进行了描述, 以便于本技术领域 的技术人员理解本发明, 但应该清楚, 本发明不限于具体实施方式的范围, 对 本技术领域的普通技术人员来讲, 只要各种变化在所附的权利要求限定和确定 的本发明的精神和范围内, 这些变化是显而易见的, 一切利用本发明构思的发 明创造均在保护之列。  While the invention has been described with respect to the preferred embodiments of the present invention, it should be understood that These variations are obvious as long as the various changes are within the spirit and scope of the invention as defined and claimed in the appended claims, and all inventions that utilize the inventive concept are protected.

Claims

权 利 要 求 书 claims
1、 一种基于训练序列的频域色散搜索方法, 其特征在于, 包括以下歩骤: S1 : 在发送端, 对训练序列经过调制得到的序列调制符号序列进行预处理, 预处理方法为: 将调制符号序列以 ^个为一组, 为大于等于 0的整数, 每间 隔 1组将调制符号全置为 0, 其余保持不变; 1. A frequency domain dispersion search method based on training sequence, which is characterized by including the following steps: S1: At the transmitting end, preprocess the sequence modulation symbol sequence obtained by modulating the training sequence. The preprocessing method is: The modulation symbol sequence is grouped into a group, and is an integer greater than or equal to 0. The modulation symbols are all set to 0 for every interval group, and the rest remain unchanged;
S2: 数字相干光接收机对接收到的信号进行相干解调得到 4路电信号, 对 每路电信号分别进行两倍速率采样和量化; S2: The digital coherent optical receiver performs coherent demodulation on the received signal to obtain 4 electrical signals, and each electrical signal is sampled and quantized at twice the rate;
S3: 对歩骤 S2中的连续采样信号进行基于频域最大值代价函数的色散搜索 得到估计信道色散的范围, 其中移位因子 QCT = NF^/2^2 S3: Perform a dispersion search based on the maximum value cost function in the frequency domain for the continuously sampled signal in step S2 to obtain the estimated channel dispersion range, where the shift factor Q CT = N F ^/2^ 2 .
2、 根据权利要求 1所述的频域搜索方法, 其特征在于, 所述 的取值范围 为 0≤ ≤3。 2. The frequency domain search method according to claim 1, characterized in that the value range of is 0≤≤3.
PCT/CN2014/072121 2014-01-07 2014-02-16 Frequency-domain dispersion search method based on training sequence WO2015103805A1 (en)

Applications Claiming Priority (2)

Application Number Priority Date Filing Date Title
CN201410006652.6 2014-01-07
CN201410006652.6A CN103746950B (en) 2014-01-07 2014-01-07 Frequency domain dispersion search method based on training sequences

Publications (1)

Publication Number Publication Date
WO2015103805A1 true WO2015103805A1 (en) 2015-07-16

Family

ID=50503939

Family Applications (1)

Application Number Title Priority Date Filing Date
PCT/CN2014/072121 WO2015103805A1 (en) 2014-01-07 2014-02-16 Frequency-domain dispersion search method based on training sequence

Country Status (2)

Country Link
CN (1) CN103746950B (en)
WO (1) WO2015103805A1 (en)

Citations (6)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN102326343A (en) * 2009-02-20 2012-01-18 诺基亚西门子通信有限责任两合公司 Method and arrangement for adaptive dispersion compensation
GB2487226A (en) * 2011-01-14 2012-07-18 Icera Inc Adaptive equalisation of a signal received over a wireless channel
CN102742239A (en) * 2011-12-01 2012-10-17 华为技术有限公司 Method and apparatus for frame synchronization in optical fiber system
CN103312645A (en) * 2013-06-05 2013-09-18 华中科技大学 Self-adaptive damage compensation method and system for digital-related optical communication system
US20130243422A1 (en) * 2012-02-01 2013-09-19 Huawei Technologies Co., Ltd. Method for estimating a chromatic dispersion of a received optical signal
CN103401829A (en) * 2013-06-26 2013-11-20 吉林大学 IQ imbalance compensation method for coherent-light orthogonal frequency division multiplexing (OFDM) communication system

Family Cites Families (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN102006261A (en) * 2010-12-09 2011-04-06 北京邮电大学 Channel estimating method for increasing performance of coherent light communication system

Patent Citations (6)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN102326343A (en) * 2009-02-20 2012-01-18 诺基亚西门子通信有限责任两合公司 Method and arrangement for adaptive dispersion compensation
GB2487226A (en) * 2011-01-14 2012-07-18 Icera Inc Adaptive equalisation of a signal received over a wireless channel
CN102742239A (en) * 2011-12-01 2012-10-17 华为技术有限公司 Method and apparatus for frame synchronization in optical fiber system
US20130243422A1 (en) * 2012-02-01 2013-09-19 Huawei Technologies Co., Ltd. Method for estimating a chromatic dispersion of a received optical signal
CN103312645A (en) * 2013-06-05 2013-09-18 华中科技大学 Self-adaptive damage compensation method and system for digital-related optical communication system
CN103401829A (en) * 2013-06-26 2013-11-20 吉林大学 IQ imbalance compensation method for coherent-light orthogonal frequency division multiplexing (OFDM) communication system

Non-Patent Citations (1)

* Cited by examiner, † Cited by third party
Title
LI, BICHENG ET AL.: "Compensation algorithm for polarization mode dispersion based on DOP numerical searching", OPTO- ELECTRONIC ENGINEERING, vol. 31, no. 11, 30 November 2004 (2004-11-30), pages 27 - 30 *

Also Published As

Publication number Publication date
CN103746950B (en) 2017-04-12
CN103746950A (en) 2014-04-23

Similar Documents

Publication Publication Date Title
US9319137B2 (en) Methods and systems for reduced complexity nonlinear compensation
EP2922221B1 (en) Techniques for blind equalization of high-order quadrature amplitude modulation signals
CA2760730C (en) Adaptive filter
US8855501B2 (en) Method for carrier frequency recovery and optical intradyne coherent receiver
US8781333B2 (en) Clock recovery apparatus
US8918444B2 (en) Method and device for filterling an input signal
EP3048746B1 (en) Method and device for estimation of chromatic dispersion in optical coherent communication
US20120106982A1 (en) Coherent optical receiver with adaptive equalizer initialization system
CN109347562A (en) A kind of CO-OFDM system phase noise optimization compensation method
JP2015510366A (en) Apparatus and method for wavelength dispersion processing
CN110247712A (en) For receiving the pilot aided Digital Signal Processing of coherent light communication
EP2639977A1 (en) High speed algorithms for 400G optical communication systems
WO2015106494A1 (en) Chromatic dispersion measurement method and device and digital coherent receiver
WO2016061998A1 (en) Method and device for monitoring polarization mode dispersion
WO2015103805A1 (en) Frequency-domain dispersion search method based on training sequence
WO2018006800A1 (en) Clock balancing method, apparatus and system for qpsk system
Do et al. Chromatic dispersion estimation based on complementary Golay sequences for 80 Gb/s QPSK single-carrier system with frequency domain equalization
Liu et al. Scattered pilot-based channel estimation with joint noise reduction for PDM-CO-OFDM system
Abdullah et al. DSP techniques for reducing chromatic dispersion in optical communication systems
Ren et al. A time and frequency synchronization method for CO-OFDM based on CMA equalizers
Liu et al. Performance analysis of extended Kalman filter in Kramers-Kronig receiver
CN115242308B (en) Signal phase reconstruction method and system based on digital subcarrier multiplexing
EP3133751A1 (en) Method for nonlinearity compensation in optical transmission systems
Caili et al. Demultiplexing based on frequency-domain joint decision MMA for MDM system
Ge et al. Adaptive Chromatic Dispersion Equalization Based on Extended Godard’s Error for Non-Dispersion Managed Coherent Systems

Legal Events

Date Code Title Description
121 Ep: the epo has been informed by wipo that ep was designated in this application

Ref document number: 14878123

Country of ref document: EP

Kind code of ref document: A1

NENP Non-entry into the national phase

Ref country code: DE

122 Ep: pct application non-entry in european phase

Ref document number: 14878123

Country of ref document: EP

Kind code of ref document: A1