CN106452593B - The construction method and device and nonlinear noise suppressing method and system of filter - Google Patents
The construction method and device and nonlinear noise suppressing method and system of filter Download PDFInfo
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Abstract
本发明公开了滤波器的构建方法和装置、及非线性噪声抑制方法和系统。本发明基于高斯噪声模型(Gaussian noise model,GN),利用一阶微扰理论得到光纤传输系统中XPM导致的信道间非线性损伤,根据不同频率下的信道对中心信道影响的大小构造与信道间隔和干涉信道发射序列相关的基于载波相关适配的信道补偿滤波器,可以对光纤信道模型中不同信道的功率进行动态分配,并根据数字反向传输算法的原理对非线性噪声进行补偿,由于不需要计算所有干涉信道对中心信道的非线性影响,因此可以有效降低补偿DBP算法的复杂度。
The invention discloses a filter construction method and device, and a nonlinear noise suppression method and system. The present invention is based on a Gaussian noise model (Gaussian noise model, GN), using the first-order perturbation theory to obtain the non-linear damage between channels caused by XPM in the optical fiber transmission system, and constructing and channel spacing according to the influence of channels at different frequencies on the central channel The channel compensation filter based on carrier correlation adaptation related to the transmission sequence of the interference channel can dynamically allocate the power of different channels in the fiber channel model, and compensate the nonlinear noise according to the principle of the digital reverse transmission algorithm. It is necessary to calculate the nonlinear influence of all interference channels on the central channel, so the complexity of the compensation DBP algorithm can be effectively reduced.
Description
技术领域technical field
本发明涉及通信技术领域的光传输技术领域,尤其涉及基于载波相关适配的信道补偿滤波器的构建方法、及信道间非线性噪声抑制方法和系统。The present invention relates to the field of optical transmission technology in the field of communication technology, in particular to a method for constructing a channel compensation filter based on carrier correlation adaptation, and a method and system for suppressing non-linear noise between channels.
背景技术Background technique
近年来,高清、3D、超高清等视频技术迅速发展,大数据、云计算、云存储等业务需求爆炸式增长,对光纤系统传输距离和容量提出了更高的要求,因此超高速长距离光纤传输成为国内研究热点之一,人们一直向着速度更快、距离更长的目标迈进。In recent years, with the rapid development of high-definition, 3D, ultra-high-definition and other video technologies, the explosive growth of business demand for big data, cloud computing, and cloud storage has put forward higher requirements for the transmission distance and capacity of optical fiber systems. Therefore, ultra-high-speed long-distance optical fiber Transmission has become one of the domestic research hotspots, and people have been moving towards the goal of faster speed and longer distance.
传输容量和传输距离的每一次突破,总是源于新技术的采用和关键问题的克服,但是也由此引入了新的问题,限制光纤传输系统的进一步发展。从早期的模间色散和损耗限制,到后来的群速度色散限制,到如今的光纤非线性和色散综合限制,随着传输速率的提高和传输距离的增长,光纤传输系统面临的问题也在不断发生变化。Every breakthrough in transmission capacity and transmission distance always comes from the adoption of new technologies and the overcoming of key problems, but it also introduces new problems, which limit the further development of optical fiber transmission systems. From the early intermodal dispersion and loss limitation, to the later group velocity dispersion limitation, to today's optical fiber nonlinearity and dispersion comprehensive limitation, with the increase of transmission rate and the increase of transmission distance, the problems faced by the optical fiber transmission system are also constantly change.
在大容量长距离光纤传输系统中,多跨段级联,多信道并存,光纤相互作用长度加大,使ASE噪声、色散和非线性效应的累积更加严重,限制了大容量长距离光传输系统的性能。近几年,国内外已有诸多研究人员对大容量长距离光传输系统中的色散和非线性效应及其补偿方法进行了研究,主要集中在分析各非线性效应在光纤传输系统中的影响、相互之间的影响以及非线性损伤的补偿方法。In large-capacity long-distance optical fiber transmission systems, multi-span cascading, multi-channel coexistence, and increased fiber interaction length make the accumulation of ASE noise, dispersion and nonlinear effects more serious, limiting large-capacity long-distance optical transmission systems performance. In recent years, many researchers at home and abroad have studied the dispersion and nonlinear effects and compensation methods in large-capacity long-distance optical transmission systems, mainly focusing on analyzing the impact of various nonlinear effects in optical fiber transmission systems, Interactions and compensation methods for nonlinear damage.
目前的非线性损伤补偿方法主要包括两类:光域补偿和电域补偿。随着大规模集成电路的发展,使得利用DSP技术对系统的色散和非线性补偿成为可能,不仅灵活性较强,且成本较低,使得商业实用成为可能。在电域补偿中,最为常用的是反向传输算法,通过模拟光信号的反向数字传输链路,来达到消除光信号在传输过程中所受到的色散及非线性影响的目的。DBP算法需要首先对信道中的非线性噪声进行估计和预测,目前常用的方法有时域高斯噪声模型(GN model)和频域对数微扰模型(FRLP model)等。但是由于DBP算法的复杂度,补偿效果不佳。The current nonlinear damage compensation methods mainly include two categories: optical domain compensation and electrical domain compensation. With the development of large-scale integrated circuits, it is possible to use DSP technology to compensate the dispersion and nonlinearity of the system, which not only has strong flexibility, but also has low cost, making it possible for commercial use. In electrical domain compensation, the most commonly used is the reverse transmission algorithm, through the reverse digital transmission link of the analog optical signal, to achieve the purpose of eliminating the dispersion and nonlinear effects of the optical signal during transmission. The DBP algorithm needs to first estimate and predict the nonlinear noise in the channel. At present, the commonly used methods include the time-domain Gaussian noise model (GN model) and the frequency-domain logarithmic perturbation model (FRLP model). However, due to the complexity of the DBP algorithm, the compensation effect is not good.
发明内容Contents of the invention
本发明实施例的目的在于提供一种基于载波相关适配的信道补偿滤波器的构建方法和装置、及信道间非线性噪声抑制方法和系统,实现对非线性噪声进行动态补偿,从而有效降低信道的误码率,提高系统性能。具体技术方案如下:The purpose of the embodiments of the present invention is to provide a method and device for constructing a channel compensation filter based on carrier-dependent adaptation, and a method and system for suppressing nonlinear noise between channels, so as to realize dynamic compensation for nonlinear noise, thereby effectively reducing channel noise. bit error rate and improve system performance. The specific technical scheme is as follows:
第一方面,本发明实施例公开了滤波器的构建方法,包括如下步骤:In the first aspect, the embodiment of the present invention discloses a filter construction method, including the following steps:
S1)发射端发送检验序列,数据信号经过MZ调制器调制后经过复用进入光纤信道,在经过M跨段传输后经过解复用和相干接收,获得相干探测数据信号;S1) The transmitting end sends the check sequence, and the data signal is modulated by the MZ modulator and then multiplexed into the optical fiber channel, and then demultiplexed and coherently received after being transmitted across the M span to obtain a coherent detection data signal;
S2)利用DBP算法根据“先进后出”的原则建立反向虚拟光纤链路,对相干探测数据信号进行色散补偿和非线性补偿,在每一跨段补偿之前加光衰减器对光信号进行衰减;S2) Use the DBP algorithm to establish a reverse virtual optical fiber link according to the principle of "first in, last out", perform dispersion compensation and nonlinear compensation on the coherent detection data signal, and add an optical attenuator to attenuate the optical signal before each span compensation ;
S3)重复上述步骤S1)和S2),获得不同干涉信道对目标信道的影响系数,包括自相位调制对信号的影响系数、交叉相位调制导致的噪声影响系数;S3) Repeat the above steps S1) and S2) to obtain the influence coefficient of different interference channels on the target channel, including the influence coefficient of self-phase modulation on the signal and the noise influence coefficient caused by cross-phase modulation;
S4)利用不同干涉信道对目标信道的影响系数,获得不同干涉信道对目标信道造成的XPM相位噪声及其方差;S4) using the influence coefficient of different interference channels on the target channel to obtain the XPM phase noise and variance thereof caused by different interference channels to the target channel;
S5)利用不同干涉信道对目标信道造成的XPM相位噪声及其方差,获得不同干涉信道对目标信道的XPM相位噪声的自相关系数;S5) using the XPM phase noise and variance thereof caused by different interference channels to the target channel to obtain the autocorrelation coefficient of the XPM phase noise of the different interference channels to the target channel;
S6)利用不同干涉信道对目标信道的XPM相位噪声的自相关系数,获得不同频率的信道对中心信道XPM效应的影响大小;S6) Utilize the autocorrelation coefficient of the XPM phase noise of different interfering channels to the target channel to obtain the influence of the channels of different frequencies on the XPM effect of the central channel;
S7)利用不同频率的信道对中心信道XPM效应的影响大小,获得与信道间隔和干涉信道发射序列相关的基于载波相关适配的信道补偿滤波器。S7) Using the influence of channels of different frequencies on the XPM effect of the center channel, a channel compensation filter based on carrier correlation adaptation related to the channel spacing and the interference channel transmission sequence is obtained.
进一步,步骤S4)中,所述基于载波相关适配的信道补偿滤波器表示为:Further, in step S4), the channel compensation filter based on carrier correlation adaptation is expressed as:
其中,为不同干涉信道对目标信道造成的XPM相位噪声,ωk-ωs为信道间隔,{b0}为干涉信道发射序列,L为传输距离,γ为非线性系数,β2为二阶色散参数。in, is the XPM phase noise caused by different interference channels to the target channel, ω k -ω s is the channel spacing, {b 0 } is the transmission sequence of the interference channel, L is the transmission distance, γ is the nonlinear coefficient, and β 2 is the second-order dispersion parameter .
进一步,所述步骤S11)中,光纤信道采用固定步长的对称分步傅立叶算法进行建模,步长为h,在步长h内,线性算子和非线性算子相互独立,每一个跨段进行N次补偿,共传输M跨段,在每一跨段后接光放大器对光信号进行放大。Further, in the step S11), the optical fiber channel is modeled using a fixed-step symmetric step-wise Fourier algorithm, the step size is h, and within the step size h, the linear operator and the nonlinear operator are independent of each other, and each span The segment is compensated N times, and a total of M spans are transmitted, and an optical amplifier is connected after each span to amplify the optical signal.
进一步,所述步骤S2)中,所述非线性补偿在每一跨段中间位置进行,用于补偿的滤波器为:Further, in the step S2), the nonlinear compensation is performed at the middle position of each span, and the filter used for compensation is:
进一步,所述步骤S2)中,所述色散补偿采用频域滤波器,用于补偿的滤波器表示为:Further, in the step S2), the dispersion compensation uses a frequency domain filter, and the filter used for compensation is expressed as:
其中,λ-载波波长,ω-载波频率,S-色散斜率,c-光速。Among them, λ-carrier wavelength, ω-carrier frequency, S-dispersion slope, c-speed of light.
进一步,所述非线性补偿中,每一信道的光信号采用XPM模块计算其它信道的交叉相位调制对该信道的影响,其中第q个信道的XPM模块的计算公式为:Further, in the nonlinear compensation, the optical signal of each channel uses the XPM module to calculate the influence of the cross-phase modulation of other channels on the channel, wherein the calculation formula of the XPM module of the qth channel is:
其中,Eout–输出光场。Among them, E out - output light field.
第二方面,本发明实施例公开了滤波器的构建装置,包括:In the second aspect, the embodiment of the present invention discloses a device for constructing a filter, including:
相干探测信号获取模块,用于发射端发送检验序列,数据信号经过MZ调制器调制后经过复用进入光纤信道,在经过M跨段传输后经过解复用和相干接收,获得相干探测数据信号;The coherent detection signal acquisition module is used for the transmitting end to send the inspection sequence. The data signal is modulated by the MZ modulator and then multiplexed into the optical fiber channel. After the M span transmission, it is demultiplexed and coherently received to obtain the coherent detection data signal;
相干探测信号补偿模块,用于利用DBP算法根据“先进后出”的原则建立反向虚拟光纤链路,对相干探测数据信号进行色散补偿和非线性补偿,在每一跨段补偿之前加光衰减器对光信号进行衰减;The coherent detection signal compensation module is used to use the DBP algorithm to establish a reverse virtual optical fiber link according to the principle of "first in, last out", to perform dispersion compensation and nonlinear compensation on the coherent detection data signal, and to add optical attenuation before each span compensation The device attenuates the optical signal;
DSP处理模块,用于通过所述相干探测信号获取模块和相干探测信号补偿模块的多次处理,得到不同干涉信道对目标信道的影响系数,包括自相位调制对信号的影响系数、交叉相位调制导致的噪声影响系数;The DSP processing module is used to obtain the influence coefficient of different interference channels on the target channel through the multiple processing of the coherent detection signal acquisition module and the coherent detection signal compensation module, including the influence coefficient of the self-phase modulation on the signal and the cross-phase modulation. noise influence coefficient;
XPM相位噪声获取模块,用于利用不同干涉信道对目标信道的影响系数,获得不同干涉信道对目标信道造成的XPM相位噪声及其方差;The XPM phase noise acquisition module is used to obtain the XPM phase noise and variance thereof caused by different interference channels to the target channel by using the influence coefficient of different interference channels on the target channel;
XPM自相关系数获取模块,用于利用不同干涉信道对目标信道造成的XPM相位噪声及其方差,获得不同干涉信道对目标信道的XPM相位噪声的自相关系数;The XPM autocorrelation coefficient acquisition module is used to obtain the autocorrelation coefficient of the XPM phase noise of different interference channels to the target channel by using the XPM phase noise and variance thereof caused by different interference channels to the target channel;
不同干涉信道的XPM效应获取模块,用于利用不同干涉信道对目标信道的XPM相位噪声的自相关系数,获得不同频率的信道对中心信道XPM效应的影响大小;The XPM effect acquisition module of different interference channels is used for utilizing the autocorrelation coefficient of the XPM phase noise of different interference channels to the target channel to obtain the influence of the channels of different frequencies on the central channel XPM effect;
信道补偿滤波器获取模块,用于利用不同频率的信道对中心信道XPM效应的影响大小获得与信道间隔和干涉信道发射序列相关的基于载波相关适配的信道补偿滤波器。The channel compensation filter acquisition module is used to obtain a channel compensation filter based on carrier correlation adaptation related to channel spacing and interference channel transmission sequence by using the influence of channels of different frequencies on the XPM effect of the center channel.
第三方面,本发明实施例公开了非线性噪声抑制方法,包括:In the third aspect, the embodiment of the present invention discloses a nonlinear noise suppression method, including:
利用DBP算法根据“先进后出”的原则建立反向虚拟光纤链路;Use the DBP algorithm to establish a reverse virtual optical fiber link according to the principle of "first in, last out";
在反向虚拟光纤链路中,对相干探测数据信号采用基于载波相关适配的信道补偿滤波器计算不同信道下的XPM相位噪声补偿值;In the reverse virtual optical fiber link, the channel compensation filter based on carrier correlation adaptation is used to calculate the XPM phase noise compensation value under different channels for the coherent detection data signal;
根据不同信道下的XPM相位噪声补偿值,对目标信道中的XPM相位噪声进行补偿。The XPM phase noise in the target channel is compensated according to the XPM phase noise compensation values in different channels.
进一步,所述基于载波相关适配的信道补偿滤波器为:Further, the channel compensation filter based on carrier correlation adaptation is:
其中,为不同干涉信道对目标信道造成的XPM相位噪声,ωk-ωs为信道间隔,{b0}为干涉信道发射序列,L为传输距离,γ为非线性系数,β2为二阶色散参数。in, is the XPM phase noise caused by different interference channels to the target channel, ω k -ω s is the channel spacing, {b 0 } is the transmission sequence of the interference channel, L is the transmission distance, γ is the nonlinear coefficient, and β 2 is the second-order dispersion parameter .
第四方面,本发明实施例公开了非线性噪声抑制系统,包括:In the fourth aspect, the embodiment of the present invention discloses a nonlinear noise suppression system, including:
反向虚拟光纤链路建立模块,用于利用DBP算法根据“先进后出”的原则建立反向虚拟光纤链路;A reverse virtual optical fiber link establishment module is used to establish a reverse virtual optical fiber link according to the principle of "first in, last out" using the DBP algorithm;
XPM相位噪声补偿计算模块,用于在反向虚拟光纤链路中对相干探测数据信号采用基于载波相关适配的信道补偿滤波器计算不同信道下的XPM相位噪声补偿值;The XPM phase noise compensation calculation module is used to calculate the XPM phase noise compensation value under different channels by using a channel compensation filter based on carrier correlation adaptation for the coherent detection data signal in the reverse virtual optical fiber link;
XPM相位噪声补偿模块,用于根据不同信道下的XPM相位噪声补偿值,对目标信道中的XPM相位噪声进行补偿。The XPM phase noise compensation module is configured to compensate the XPM phase noise in the target channel according to the XPM phase noise compensation values in different channels.
由上述的技术方案可见,本发明实施例在接收端对目标信道的符号进行接收,得到未补偿的序列{rk},由{rk}得到的值,根据不同频率下的信道对中心信道影响的大小构造与信道间隔和干涉信道发射序列相关的基于载波相关适配的信道补偿滤波器,对光纤信道模型中不同信道的功率进行动态分配,并根据数字反向传输算法的原理对非线性噪声进行补偿,由于不需要计算所有干涉信道对中心信道的非线性影响,因此可以有效降低现有DSP补偿算法的复杂度。It can be seen from the above technical solution that the embodiment of the present invention receives the symbols of the target channel at the receiving end to obtain the uncompensated sequence {r k }, which is obtained from {r k } According to the influence of channels at different frequencies on the central channel, a channel compensation filter based on carrier correlation adaptation related to channel spacing and interference channel transmission sequences is constructed, and the power of different channels in the fiber channel model is dynamically allocated. And the nonlinear noise is compensated according to the principle of the digital reverse transmission algorithm. Since it is not necessary to calculate the nonlinear influence of all interfering channels on the center channel, the complexity of the existing DSP compensation algorithm can be effectively reduced.
附图说明Description of drawings
为了更清楚地说明本发明实施例或现有技术中的技术方案,下面将对实施例或现有技术描述中所需要使用的附图作简单地介绍,显而易见地,下面描述中的附图仅仅是本发明的一些实施例,对于本领域普通技术人员来讲,在不付出创造性劳动的前提下,还可以根据这些附图获得其他的附图。In order to more clearly illustrate the technical solutions in the embodiments of the present invention or the prior art, the following will briefly introduce the drawings that need to be used in the description of the embodiments or the prior art. Obviously, the accompanying drawings in the following description are only These are some embodiments of the present invention. Those skilled in the art can also obtain other drawings based on these drawings without creative work.
图1为本发明实施例的大容量长距离WDM光传输系统结构示意图;Fig. 1 is a schematic structural diagram of a large-capacity long-distance WDM optical transmission system according to an embodiment of the present invention;
图2为本发明实施例的光纤信道模型结构示意图;FIG. 2 is a schematic structural diagram of a fiber channel model according to an embodiment of the present invention;
图3为本发明实施例WDM系统中非线性补偿处理流程示意图;3 is a schematic diagram of a non-linear compensation processing flow in a WDM system according to an embodiment of the present invention;
图4为本发明实施例的利用基于载波相关适配的信道间非线性噪声抑制方法对接收信号进行非线性补偿的处理流程示意图;FIG. 4 is a schematic diagram of a processing flow for performing nonlinear compensation on a received signal by using an inter-channel nonlinear noise suppression method based on carrier-dependent adaptation according to an embodiment of the present invention;
图5为本发明实施例的不同干涉信道对中心信道非线性效应影响的曲线示意图;FIG. 5 is a schematic diagram showing the influence of different interference channels on the nonlinear effect of the center channel according to an embodiment of the present invention;
图6为本发明实施例的根据图5得到的滤波器的频率特性示意图;FIG. 6 is a schematic diagram of frequency characteristics of the filter obtained according to FIG. 5 according to an embodiment of the present invention;
图7为本发明实施例的每一跨段在光纤信道中的正向传输示意图;7 is a schematic diagram of the forward transmission of each span in the fiber channel according to the embodiment of the present invention;
图8为本发明实施例的每一跨段利用DBP算法的虚拟光纤链路中反向传输示意图。FIG. 8 is a schematic diagram of reverse transmission in a virtual fiber link using a DBP algorithm for each span according to an embodiment of the present invention.
具体实施方式Detailed ways
下面将结合本发明实施例中的附图,对本发明实施例中的技术方案进行清楚、完整地描述,显然,所描述的实施例仅仅是本发明一部分实施例,而不是全部的实施例。基于本发明中的实施例,本领域普通技术人员在没有做出创造性劳动前提下所获得的所有其他实施例,都属于本发明保护的范围。The following will clearly and completely describe the technical solutions in the embodiments of the present invention with reference to the accompanying drawings in the embodiments of the present invention. Obviously, the described embodiments are only some, not all, embodiments of the present invention. Based on the embodiments of the present invention, all other embodiments obtained by persons of ordinary skill in the art without making creative efforts belong to the protection scope of the present invention.
下面首先对本发明实施例中用到的函数及其参数做一个说明:Below first the function used in the embodiment of the present invention and its parameter are described:
E(z,t)-光场慢变包络;E(z,t)-slowly varying envelope of light field;
Ein–输入光场;E in – input light field;
Eout–输出光场;E out – output light field;
γ-非线性系数;γ - nonlinear coefficient;
G–放大器的放大增益;G – the amplification gain of the amplifier;
H(ω)为色散补偿滤波器的传递函数,其中:H(ω) is the transfer function of the dispersion compensation filter, where:
λ-载波波长ω-载波频率D-色散系数S-色散斜率c-光速;λ-carrier wavelength ω-carrier frequency D-dispersion coefficient S-dispersion slope c-speed of light;
Δak-在z=L时刻,接收到的信号受到非线性效应的影响;Δa k - at the moment z=L, the received signal is affected by non-linear effects;
L–传输距离;L – transmission distance;
Sh,u,m-表征自相位调制(SPM)对相位噪声贡献的大小;Sh ,u,m - characterizes the contribution of self-phase modulation (SPM) to phase noise;
Xh,u,m-表征交叉相位调制(XPM)对相位噪声贡献的大小;X h,u,m - characterizes the contribution of cross-phase modulation (XPM) to phase noise;
θ-干涉信道对目标信道造成的XPM相位噪声;θ - the XPM phase noise caused by the interference channel to the target channel;
-相位噪声方差; - phase noise variance;
Rk,s(l)-不同干涉信道的相位噪声同中心信道的自相关函数;R k, s (l) - the phase noise of different interference channels and the autocorrelation function of the same center channel;
ωk-ωs-信道间隔。ω k -ω s - channel spacing.
本发明针对长距离大容量WDM光纤传输系统,采用数字反向传输算法(DBP),对色散和非线性进行联合补偿。整个传输系统如图1所示,光纤信道建模如图2所示,WDM传输系统中的色散非线性联合补偿模块算法框图如图3所示。Aiming at the long-distance and large-capacity WDM optical fiber transmission system, the invention adopts a digital reverse transmission algorithm (DBP) to jointly compensate dispersion and nonlinearity. The entire transmission system is shown in Figure 1, the fiber channel modeling is shown in Figure 2, and the algorithm block diagram of the dispersion nonlinear joint compensation module in the WDM transmission system is shown in Figure 3.
实施例1Example 1
本实施例公开了滤波器的构建方法,包括如下步骤:This embodiment discloses a method for constructing a filter, including the following steps:
S1)发射端发送检验序列,数据信号经过MZ调制器调制后经过复用进入光纤信道,在经过M跨段传输后经过解复用和相干接收,获得相干探测数据信号;S1) The transmitting end sends the check sequence, and the data signal is modulated by the MZ modulator and then multiplexed into the optical fiber channel, and then demultiplexed and coherently received after being transmitted across the M span to obtain a coherent detection data signal;
S2)利用DBP算法根据“先进后出”的原则建立反向虚拟光纤链路,对相干探测数据信号进行色散补偿和非线性补偿,在每一跨段补偿之前加光衰减器对光信号进行衰减;每一跨段DBP算法框图如图8所示。S2) Use the DBP algorithm to establish a reverse virtual optical fiber link according to the principle of "first in, last out", perform dispersion compensation and nonlinear compensation on the coherent detection data signal, and add an optical attenuator to attenuate the optical signal before each span compensation ; The block diagram of each span DBP algorithm is shown in Figure 8.
S3)重复上述步骤S1)和S2),获得不同干涉信道对目标信道的影响系数,包括自相位调制对信号的影响系数、交叉相位调制导致的噪声影响系数;S3) Repeat the above steps S1) and S2) to obtain the influence coefficient of different interference channels on the target channel, including the influence coefficient of self-phase modulation on the signal and the noise influence coefficient caused by cross-phase modulation;
S4)利用不同干涉信道对目标信道的影响系数,获得不同干涉信道对目标信道造成的XPM相位噪声及其方差;S4) using the influence coefficient of different interference channels on the target channel to obtain the XPM phase noise and variance thereof caused by different interference channels to the target channel;
S5)利用不同干涉信道对目标信道造成的XPM相位噪声及其方差,获得不同干涉信道对目标信道的XPM相位噪声的自相关系数;S5) using the XPM phase noise and variance thereof caused by different interference channels to the target channel to obtain the autocorrelation coefficient of the XPM phase noise of the different interference channels to the target channel;
S6)利用不同干涉信道对目标信道的XPM相位噪声的自相关系数,根据叠加原理获得不同频率的信道对中心信道XPM效应的影响大小;S6) Utilize the autocorrelation coefficient of different interference channels to the XPM phase noise of the target channel, and obtain the influence size of the channels of different frequencies on the central channel XPM effect according to the superposition principle;
S7)利用不同频率的信道对中心信道XPM效应的影响大小,获得与信道间隔和干涉信道发射序列相关的基于载波相关适配的信道补偿滤波器。S7) Using the influence of channels of different frequencies on the XPM effect of the center channel, a channel compensation filter based on carrier correlation adaptation related to the channel spacing and the interference channel transmission sequence is obtained.
进一步,所述步骤S11)中,光纤信道采用固定步长的对称分步傅立叶(SSF)算法进行建模(如图2所示),在步长h内,线性算子和非线性算子相互独立。其中α是光纤损耗系数,β2是光纤色散常数,β3是二阶群速度色散斜率,γ是非线性系数,A(z,t)是光场包络。假设每一跨段长度为Lspan,对跨段进行N次补偿,则补偿次数N=Lspan/h,每一跨段后接光放大器对光信号进行放大,共传输M跨段,即总传输长度为L=M×Lspan。每一跨段传输框图如图7所示。Further, in the step S11), the fiber channel is modeled using a fixed step-size symmetric sub-step Fourier (SSF) algorithm (as shown in Figure 2), and within the step size h, the linear operator and nonlinear operators Independent. where α is the fiber loss coefficient, β 2 is the fiber dispersion constant, β 3 is the second-order group velocity dispersion slope, γ is the nonlinear coefficient, and A(z,t) is the optical field envelope. Assuming that the length of each span is L span , the span is compensated N times, then the number of compensations is N=L span /h, each span is followed by an optical amplifier to amplify the optical signal, and a total of M spans are transmitted, that is, the total The transmission length is L=M×L span . The transmission block diagram of each span is shown in FIG. 7 .
进一步,所述步骤S2)中,所述非线性补偿中,每一信道的光信号采用XPM模块计算其它信道的交叉相位调制对该信道的影响,其中第q个信道的XPM模块的计算公式为:Further, in the step S2), in the nonlinear compensation, the optical signal of each channel uses the XPM module to calculate the influence of the cross-phase modulation of other channels on the channel, wherein the calculation formula of the XPM module of the qth channel is :
其中,Eout为输出光场。Among them, E out is the output light field.
进一步,所述步骤S2)中,采用对称分步傅立叶算法,所述非线性补偿在每一跨段中间位置进行,用于补偿的滤波器为:Further, in the step S2), the symmetrical sub-step Fourier algorithm is adopted, and the nonlinear compensation is performed at the middle position of each span, and the filter used for compensation is:
需要说明的是,步骤S2)中的非线性损伤补偿函数滤波器用来消除光放大器带来的自发辐射(ASE)噪声,应用窗函数法设计该滤波器,抑制信号的带宽,限制高频噪声分量,当窗函数选择为高斯型时,表达式如下:It should be noted that the nonlinear damage compensation function filter in step S2) is used to eliminate the spontaneous emission (ASE) noise brought by the optical amplifier, and the filter is designed by using the window function method to suppress the bandwidth of the signal and limit the high-frequency noise component , when the window function is Gaussian, the expression is as follows:
其中,fc是滤波器的中心频率,B为滤波器的3dB带宽,m为滤波器阶数。恰当的选择该滤波器的3dB带宽参数,使得其在带宽符合要求的前提下,旁瓣衰减较大,以实现有效滤除噪声的目的。Among them, f c is the center frequency of the filter, B is the 3dB bandwidth of the filter, and m is the order number of the filter. The 3dB bandwidth parameter of the filter is properly selected so that the sidelobe attenuation is relatively large under the premise that the bandwidth meets the requirements, so as to achieve the purpose of effectively filtering out noise.
进一步,所述步骤S2)中,所述色散补偿采用频域滤波器,用于补偿的滤波器表示为:Further, in the step S2), the dispersion compensation uses a frequency domain filter, and the filter used for compensation is expressed as:
进一步,步骤S4)中,所述基于载波相关适配的信道补偿滤波器表示为:Further, in step S4), the channel compensation filter based on carrier correlation adaptation is expressed as:
其中,为不同干涉信道对目标信道造成的XPM相位噪声,ωk-ωs为信道间隔,{b0}为干涉信道发射序列,L为传输距离,γ为非线性系数,β2为二阶色散参数。in, is the XPM phase noise caused by different interference channels to the target channel, ω k -ω s is the channel spacing, {b 0 } is the transmission sequence of the interference channel, L is the transmission distance, γ is the nonlinear coefficient, and β 2 is the second-order dispersion parameter .
需要说明的是,步骤S4)-S7)的具体方法如下:It should be noted that the specific methods of steps S4)-S7) are as follows:
在发射端目标信道发送一段检验序列{ak},干涉信道发射序列{bk},根据时域分析模型,传输信号的零阶解可表示为:Send a test sequence {a k } on the target channel of the transmitter, and transmit the sequence {b k } on the interference channel. According to the time-domain analysis model, the zero-order solution of the transmitted signal can be expressed as:
其中,g(0)(z,t)=Ψ(z)g(0,t),g(0,t)具有正交特性。where g (0) (z,t)=Ψ(z)g(0,t), g(0,t) has an orthogonal property.
信号的一阶解可以通过解非线性薛定谔方程(NLSE)获得:The first-order solution of the signal can be obtained by solving the nonlinear Schrödinger equation (NLSE):
其中,f(z)代表链路的损耗特性,方程(2)的解如下式所示:Among them, f(z) represents the loss characteristic of the link, and the solution of equation (2) is shown as follows:
u(L,t)=u(0)(L,t)+u(1)(L,t) (4)u(L,t)=u (0) (L,t)+u (1) (L,t)(4)
在接收端经过匹配滤波,u(0)(L,t)对非线性相位噪声没有贡献,u(1)(L,t)对非线性噪声的贡献可表示为:After matched filtering at the receiving end, u (0) (L,t) has no contribution to nonlinear phase noise, and the contribution of u (1) (L,t) to nonlinear noise can be expressed as:
把公式(3)代入到公式(5)中,可以得到:Substituting formula (3) into formula (5), we can get:
其中,Sh,k,m表示自相位调制对信号的影响,Xh,k,m表示交叉相位调制导致的噪声。Among them, Sh , k, m represent the influence of self-phase modulation on the signal, and X h, k, m represent the noise caused by cross-phase modulation.
当h=0,u=m时可得到非线性引起的相位噪声,如下式所示:When h=0, u=m, the phase noise caused by nonlinearity can be obtained, as shown in the following formula:
其中,为相位噪声,方差为:in, is the phase noise, and the variance is:
需要说明的是,本发明仅考虑大色散累积值和没有内嵌色散补偿的条件,在该条件下,X0,m,m可用表示为:It should be noted that the present invention only considers the conditions of large cumulative dispersion value and no built-in dispersion compensation. Under this condition, X 0,m,m can be expressed as:
因此可得到相位噪声的方差为:Therefore, the variance of the phase noise can be obtained as:
相位噪声的自相关函数为:The autocorrelation function of the phase noise is:
其中,[u]+=max{u,0}Among them, [u] + =max{u,0}
该式表示不同频率的信道对中心信道XPM效应的影响大小,当干涉信道距离中心信道足够远时,其对中心信道的非线性影响可以忽略不计。This formula expresses the influence of channels of different frequencies on the XPM effect of the central channel. When the interference channel is far enough away from the central channel, its nonlinear influence on the central channel can be ignored.
实施例2Example 2
本发明实施例公开了采用实施例1的方法的滤波器的构建装置,包括:The embodiment of the present invention discloses a device for constructing a filter using the method of Embodiment 1, including:
相干探测信号获取模块,用于发射端发送检验序列,数据信号经过MZ调制器调制后经过复用进入光纤信道,在经过M跨段传输后经过解复用和相干接收,获得相干探测数据信号;The coherent detection signal acquisition module is used for the transmitting end to send the inspection sequence. The data signal is modulated by the MZ modulator and then multiplexed into the optical fiber channel. After the M span transmission, it is demultiplexed and coherently received to obtain the coherent detection data signal;
相干探测信号补偿模块,用于利用DBP算法根据“先进后出”的原则建立反向虚拟光纤链路,对相干探测数据信号进行色散补偿和非线性补偿,在每一跨段补偿之前加光衰减器对光信号进行衰减;The coherent detection signal compensation module is used to use the DBP algorithm to establish a reverse virtual optical fiber link according to the principle of "first in, last out", to perform dispersion compensation and nonlinear compensation on the coherent detection data signal, and to add optical attenuation before each span compensation The device attenuates the optical signal;
DSP处理模块,用于通过所述相干探测信号获取模块和相干探测信号补偿模块的多次处理,得到不同干涉信道对目标信道的影响系数,包括自相位调制对信号的影响系数、交叉相位调制导致的噪声影响系数。The DSP processing module is used to obtain the influence coefficient of different interference channels on the target channel through the multiple processing of the coherent detection signal acquisition module and the coherent detection signal compensation module, including the influence coefficient of the self-phase modulation on the signal and the cross-phase modulation. noise influence factor.
XPM相位噪声获取模块,用于利用不同干涉信道对目标信道的影响系数,获得不同干涉信道对目标信道造成的XPM相位噪声及其方差;The XPM phase noise acquisition module is used to obtain the XPM phase noise and variance thereof caused by different interference channels to the target channel by using the influence coefficient of different interference channels on the target channel;
XPM自相关系数获取模块,用于利用不同干涉信道对目标信道造成的XPM相位噪声及其方差,获得不同干涉信道对目标信道的XPM相位噪声的自相关系数;The XPM autocorrelation coefficient acquisition module is used to obtain the autocorrelation coefficient of the XPM phase noise of different interference channels to the target channel by using the XPM phase noise and variance thereof caused by different interference channels to the target channel;
不同干涉信道的XPM效应获取模块,用于利用不同干涉信道对目标信道的XPM相位噪声的自相关系数,获得不同频率的信道对中心信道XPM效应的影响大小;The XPM effect acquisition module of different interference channels is used for utilizing the autocorrelation coefficient of the XPM phase noise of different interference channels to the target channel to obtain the influence of the channels of different frequencies on the central channel XPM effect;
信道补偿滤波器获取模块,用于利用不同频率的信道对中心信道XPM效应的影响大小获得与信道间隔和干涉信道发射序列相关的基于载波相关适配的信道补偿滤波器。The channel compensation filter acquisition module is used to obtain a channel compensation filter based on carrier correlation adaptation related to channel spacing and interference channel transmission sequence by using the influence of channels of different frequencies on the XPM effect of the central channel.
实施例3Example 3
本发明实施例公开了采用实施例1的滤波器的构建方法的非线性噪声抑制方法,包括:The embodiment of the present invention discloses a nonlinear noise suppression method using the filter construction method of Embodiment 1, including:
利用DBP算法根据“先进后出”的原则建立反向虚拟光纤链路,对相干探测数据信号采用基于载波相关适配的信道补偿滤波器计算不同信道下的XPM相位噪声补偿值,对目标信道中的XPM相位噪声进行补偿。The DBP algorithm is used to establish a reverse virtual optical fiber link according to the principle of "first in, last out". For the coherent detection data signal, the channel compensation filter based on carrier correlation adaptation is used to calculate the XPM phase noise compensation value under different channels. The XPM phase noise is compensated.
进一步,所述基于载波相关适配的信道补偿滤波器为:Further, the channel compensation filter based on carrier correlation adaptation is:
其中,为不同干涉信道对目标信道造成的XPM相位噪声,ωk-ωs为信道间隔,{b0}为干涉信道发射序列,L为传输距离,γ为非线性系数,β2为二阶色散参数。in, is the XPM phase noise caused by different interference channels to the target channel, ω k -ω s is the channel spacing, {b 0 } is the transmission sequence of the interference channel, L is the transmission distance, γ is the nonlinear coefficient, and β 2 is the second-order dispersion parameter .
具体地,在进行光信号传输之前,先发送一段检验序列,得到不同干涉信道对中心信道的影响系数,利用该系数构造基于载波相关适配的信道间非线性噪声抑制滤波器R-filter,利用该滤波器对接收到的信号进行非线性补偿,计算流程如图4中所示,在大色散累积、没有色散管理的光纤链路中,发射信号的调制格式为16QAM时,得到Rθ(l)的影响曲线如图5所示,根据此曲线得到的滤波器频率R-filter的频率特性如图6所示。图5中的曲线代表了不同干涉信道对中心信道非线性效应影响的大小,根据此曲线构造具有功率选择性滤波器,对非线性噪声进行补偿,由图中可知,当干涉信道距离中心信道足够远时,干涉信道噪声的影响可以忽略不计,因此在误差允许的范围内可以大大减小DBP算法的复杂度。Specifically, before optical signal transmission, a check sequence is sent first to obtain the influence coefficient of different interference channels on the central channel, and the coefficient is used to construct an inter-channel nonlinear noise suppression filter R-filter based on carrier correlation adaptation. This filter performs nonlinear compensation to the received signal, and the calculation process is shown in Figure 4. In an optical fiber link with large dispersion accumulation and no dispersion management, when the modulation format of the transmitted signal is 16QAM, R θ (l ) is shown in Figure 5, and the frequency characteristics of the filter frequency R-filter obtained according to this curve are shown in Figure 6. The curve in Figure 5 represents the influence of different interference channels on the nonlinear effect of the center channel. According to this curve, a power selective filter is constructed to compensate the nonlinear noise. It can be seen from the figure that when the distance between the interference channel and the center channel is sufficient When the distance is far, the influence of interference channel noise can be neglected, so the complexity of the DBP algorithm can be greatly reduced within the allowable range of the error.
实施例4Example 4
本发明实施例公开了采用实施例3的方法的非线性噪声抑制系统,包括:The embodiment of the present invention discloses a nonlinear noise suppression system adopting the method of embodiment 3, including:
反向虚拟光纤链路建立模块,用于利用DBP算法根据“先进后出”的原则建立反向虚拟光纤链路;A reverse virtual optical fiber link establishment module is used to establish a reverse virtual optical fiber link according to the principle of "first in, last out" using the DBP algorithm;
XPM相位噪声补偿计算模块,用于在反向虚拟光纤链路中对相干探测数据信号采用基于载波相关适配的信道补偿滤波器计算不同信道下的XPM相位噪声补偿值;The XPM phase noise compensation calculation module is used to calculate the XPM phase noise compensation value under different channels by using a channel compensation filter based on carrier correlation adaptation for the coherent detection data signal in the reverse virtual optical fiber link;
XPM相位噪声补偿模块,用于根据不同信道下的XPM相位噪声补偿值,对目标信道中的XPM相位噪声进行补偿。The XPM phase noise compensation module is configured to compensate the XPM phase noise in the target channel according to the XPM phase noise compensation values in different channels.
实施例5Example 5
多信道色散非线性联合补偿算法在长距离大容量WDM光纤传输系统中的具体应用过程如下:The specific application process of the multi-channel dispersion nonlinear joint compensation algorithm in the long-distance and large-capacity WDM optical fiber transmission system is as follows:
S1、发射端采用16QAM调制,符号映射方式为格雷码映射,脉冲成型滤波器选择为高斯脉冲,满足如下关系式:S1. The transmitter adopts 16QAM modulation, the symbol mapping method is Gray code mapping, and the pulse shaping filter is selected as Gaussian pulse, which satisfies the following relationship:
S2、数据信号经过MZ调制器调制后经过复用进入光纤信道,信道模型采用对称分步傅立叶算法,在经过M跨段传输后经过解复用和相干接收,进入DSP处理模块。S2. After the data signal is modulated by the MZ modulator, it enters the optical fiber channel through multiplexing. The channel model adopts the symmetrical step-by-step Fourier algorithm. After the M-span transmission, it undergoes demultiplexing and coherent reception, and then enters the DSP processing module.
S3、在DSP处理模块利用数字反向传输算法对信号的色散和非线性进行联合补偿,根据“先进后出”的原则建立反向虚拟光纤链路,在每一跨段补偿之前加光衰减器对光信号进行衰减。其中,S3. In the DSP processing module, use the digital reverse transmission algorithm to jointly compensate the dispersion and nonlinearity of the signal, establish a reverse virtual optical fiber link according to the principle of "first in, last out", and add an optical attenuator before each span compensation Attenuate the optical signal. in,
光衰减器的公式为 The formula for the optical attenuator is
具体地,在线性补偿单元,对信号的色散补偿通过频域滤波器方法实现。在非线性补偿单元,每一信道的光信号经过XPM模块计算其它信道的交叉相位调制对该信道的影响。Specifically, in the linear compensation unit, the dispersion compensation of the signal is implemented through a frequency domain filter method. In the nonlinear compensation unit, the optical signal of each channel passes through the XPM module to calculate the influence of the cross-phase modulation of other channels on the channel.
S4、为进一步优化算法的补偿效果,在进行光信号传输之前,先发送一段检验序列,得到不同干涉信道对中心信道的影响系数,利用该系数构造基于载波相关适配的信道间非线性噪声抑制滤波器R-filter,利用该滤波器对接收到的信号进行非线性补偿,计算流程如图4中所示,在大色散累积、没有色散管理的光纤链路中,发射信号的调制格式为16QAM时,得到Rk,s(l)的影响曲线如图5所示,根据此曲线得到的滤波器频率R-filter的频率特性如图6所示。S4. In order to further optimize the compensation effect of the algorithm, before optical signal transmission, a test sequence is sent to obtain the influence coefficient of different interference channels on the central channel, and the coefficient is used to construct nonlinear noise suppression between channels based on carrier correlation adaptation Filter R-filter, use this filter to perform nonlinear compensation on the received signal, the calculation process is shown in Figure 4, in the optical fiber link with large dispersion accumulation and no dispersion management, the modulation format of the transmitted signal is 16QAM , the influence curve of R k,s (l) is shown in Figure 5, and the frequency characteristics of the filter frequency R-filter obtained according to this curve are shown in Figure 6.
根据上述实施例可知,在接收端对目标信道的符号进行接收,得到未补偿的序列{rk},由{rk}得到Rk,s(l)的值,根据不同频率下的信道对中心信道影响的大小构造具有频率选择功能的滤波器,对光纤信道模型中不同信道的功率进行动态分配,并根据数字反向传输算法的原理对非线性噪声进行补偿,由于不需要计算所有干涉信道对中心信道的非线性影响,因此可以有效降低补偿算法的复杂度。According to the above embodiment, it can be seen that the symbols of the target channel are received at the receiving end to obtain the uncompensated sequence {r k }, and the value of R k,s (l) is obtained from {r k }, according to the channel pairs at different frequencies The size of the center channel influence constructs a filter with frequency selection function, dynamically allocates the power of different channels in the fiber channel model, and compensates the nonlinear noise according to the principle of the digital reverse transmission algorithm, because it is not necessary to calculate all interfering channels Non-linear influence on the center channel, so the complexity of the compensation algorithm can be effectively reduced.
需要说明的是,在本文中,诸如第一和第二等之类的关系术语仅仅用来将一个实体或者操作与另一个实体或操作区分开来,而不一定要求或者暗示这些实体或操作之间存在任何这种实际的关系或者顺序。而且,术语“包括”、“包含”或者其任何其他变体意在涵盖非排他性的包含,从而使得包括一系列要素的过程、方法、物品或者设备不仅包括那些要素,而且还包括没有明确列出的其他要素,或者是还包括为这种过程、方法、物品或者设备所固有的要素。在没有更多限制的情况下,由语句“包括一个……”限定的要素,并不排除在包括所述要素的过程、方法、物品或者设备中还存在另外的相同要素。It should be noted that in this article, relational terms such as first and second are only used to distinguish one entity or operation from another entity or operation, and do not necessarily require or imply that there is a relationship between these entities or operations. There is no such actual relationship or order between them. Furthermore, the term "comprises", "comprises" or any other variation thereof is intended to cover a non-exclusive inclusion such that a process, method, article, or apparatus comprising a set of elements includes not only those elements, but also includes elements not expressly listed. other elements of or also include elements inherent in such a process, method, article, or device. Without further limitations, an element defined by the phrase "comprising a ..." does not exclude the presence of additional identical elements in the process, method, article or apparatus comprising said element.
本说明书中的各个实施例均采用相关的方式描述,各个实施例之间相同相似的部分互相参见即可,每个实施例重点说明的都是与其他实施例的不同之处。尤其,对于系统实施例而言,由于其基本相似于方法实施例,所以描述的比较简单,相关之处参见方法实施例的部分说明即可。Each embodiment in this specification is described in a related manner, the same and similar parts of each embodiment can be referred to each other, and each embodiment focuses on the differences from other embodiments. In particular, for the system embodiment, since it is basically similar to the method embodiment, the description is relatively simple, and for relevant parts, refer to part of the description of the method embodiment.
以上所述仅为本发明的较佳实施例而已,并非用于限定本发明的保护范围。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,均包含在本发明的保护范围内。The above descriptions are only preferred embodiments of the present invention, and are not intended to limit the protection scope of the present invention. Any modification, equivalent replacement, improvement, etc. made within the spirit and principles of the present invention are included in the protection scope of the present invention.
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