CN106911395A - A kind of biorthogonal palarization multiplexing intensity modulated system and its Deplexing method - Google Patents
A kind of biorthogonal palarization multiplexing intensity modulated system and its Deplexing method Download PDFInfo
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Abstract
本发明公开了一种双正交偏振复用强度调制系统及其解复用方法,所述系统为:两路正交偏振复用强度调制光信号共同连接到一个光耦合器,所述光耦合器、波分复用器、光放大器、光纤、波分解复用器、斯托克斯分析仪、数字信号处理单元依次相连。所述方法包括:在发射端,产生双正交偏振态复用信号,通过偏振控制器和光耦合器,将信号以不同的偏振角度复用在一起;在接收机端,采用斯托克斯分析仪作为接收方式,得到电信号I0、I0deg、I45deg及IRC;利用实时DSP信号处理实现复用信号的解调和恢复等步骤。本发明在保证光网络中发射端和接收端灵活性的同时,简化了接收端的结构,成倍地增加了通信容量,降低了成本。
The invention discloses a dual orthogonal polarization multiplexing intensity modulation system and a demultiplexing method thereof. The system is as follows: two paths of orthogonal polarization multiplexing intensity modulation optical signals are jointly connected to an optical coupler, and the optical coupling A device, a wavelength division multiplexer, an optical amplifier, an optical fiber, a wavelength division multiplexer, a Stokes analyzer, and a digital signal processing unit are connected in sequence. The method includes: at the transmitting end, generating dual orthogonal polarization state multiplexing signals, and multiplexing the signals together at different polarization angles through a polarization controller and an optical coupler; at the receiving end, using Stokes analysis The instrument is used as a receiving method to obtain electrical signals I 0 , I 0deg , I 45deg and I RC ; real-time DSP signal processing is used to realize the steps of demodulation and recovery of multiplexed signals. While ensuring the flexibility of the transmitting end and the receiving end in the optical network, the invention simplifies the structure of the receiving end, doubles the communication capacity and reduces the cost.
Description
技术领域technical field
本发明涉及短距离光互联、数据中心及接入网等领域,尤其是一种基于斯托克斯分析仪的双正交偏振复用强度调制/直接探测系统及其解复用方法。The invention relates to the fields of short-distance optical interconnection, data center, access network, etc., in particular to a bi-orthogonal polarization multiplexing intensity modulation/direct detection system and a demultiplexing method based on a Stokes analyzer.
背景技术Background technique
自1966年高锟博士发表《光频率介质纤维表面波导》一文以来,光纤通信已经历了近半个世纪的发展。在几代研究者的共同努力下,光纤通信已广泛运用于跨洋通信、骨干网、城际网络等领域。相干光通信以及数字信号处理(DSP)技术的迅速发展,更是将光通信的容量距离积提升到了Exabit/s·km量级。Since Dr. Kao published the article "Optical Frequency Dielectric Fiber Surface Waveguide" in 1966, optical fiber communication has experienced nearly half a century of development. With the joint efforts of several generations of researchers, optical fiber communication has been widely used in transoceanic communication, backbone network, intercity network and other fields. The rapid development of coherent optical communication and digital signal processing (DSP) technology has increased the capacity-distance product of optical communication to the Exabit/s·km level.
然而,相干光通信成本较高,并不适用于对成本控制要求严格的短距离光通信系统。同时,随着短距离光互连、云服务(云存储、云计算以及云查询等)以及光纤接入(光纤到户、光纤到大楼等)等业务的兴起,简单、高效且成本低廉的强度调制/直接探测(IM/DD)系统引起了更多的关注。相较于相干探测方式,IM/DD系统能够极大地简化发送端与接收端的结构,降低成本。但是,探测灵敏度以及传输速率都有所下降。However, the high cost of coherent optical communication is not suitable for short-distance optical communication systems that require strict cost control. At the same time, with the rise of short-distance optical interconnection, cloud services (cloud storage, cloud computing, and cloud query, etc.) Modulation/direct detection (IM/DD) systems have attracted more attention. Compared with the coherent detection method, the IM/DD system can greatly simplify the structures of the sending end and the receiving end and reduce costs. However, the detection sensitivity and transmission rate are reduced.
为了提高IM/DD系统的传输速率以及降低成本,主要的技术手段包括:1、采用多路波长复用传输以提高整个系统通信容量;2、采用脉冲幅度调制(PAM)、离散多音频调制(DMT)以及无载波幅相调制(CAP)等高效的调制格式以提高系统频谱利用率;3、采用先进的编码方式(双二进制编码等),在保证系统容量不变的情况下以降低系统所需器件的带宽。以上技术都能很大程度上降低系统的成本以及提高系统的容量,但还是很难满足日益增长的通信容量需求。因此,为了进一步提高IM/DD系统的通信容量,偏振复用技术被引入到该系统,该技术能够在最小限度改变系统结构的情况下达到成倍增加频谱效率的目的。In order to increase the transmission rate of the IM/DD system and reduce the cost, the main technical means include: 1. Using multiple wavelength multiplexing transmission to improve the communication capacity of the entire system; 2. Using pulse amplitude modulation (PAM), discrete multi-tone modulation ( Efficient modulation formats such as DMT) and carrierless amplitude-phase modulation (CAP) to improve system spectrum utilization; 3. Adopt advanced coding methods (duobinary coding, etc.) to reduce the system capacity while ensuring the same system capacity required device bandwidth. The above technologies can greatly reduce the cost of the system and increase the capacity of the system, but it is still difficult to meet the increasing demand for communication capacity. Therefore, in order to further improve the communication capacity of the IM/DD system, the polarization multiplexing technology is introduced into the system, which can achieve the purpose of doubling the spectrum efficiency while changing the system structure to a minimum.
早在1990年A.D.Kersey等人就实现了偏振复用信号在光纤中的传输与解复用,但由于偏振态在光纤传输中的随机变化导致接收端很难将其解复用出来,该技术并没有得到广泛的应用。随着相干接收以及DSP技术取得突破性进展,使得利用方法实现偏振解复用具有实际意义。这样,偏振复用系统的解复用灵活性得到了极大地提高。然而,不同于相干接收方式,直接探测系统不能得到光信号的相位信息。因此,PDM-IM/DD系统很难利用DSP方法实现偏振解复用。As early as 1990, A.D. Kersey and others realized the transmission and demultiplexing of polarization multiplexing signals in optical fibers. However, due to the random changes in the polarization state during optical fiber transmission, it is difficult for the receiving end to demultiplex them. This technology has not been widely used. With the breakthrough of coherent reception and DSP technology, it is of practical significance to use the method to realize polarization demultiplexing. In this way, the demultiplexing flexibility of the polarization multiplexing system is greatly improved. However, unlike the coherent reception method, the direct detection system cannot obtain the phase information of the optical signal. Therefore, it is difficult for the PDM-IM/DD system to realize polarization demultiplexing by using the DSP method.
2014年日本东京大学的K.Kikuchi等提出了一种基于斯托克斯矢量实现偏振追踪与解复用的方案。该方案方法简单,能够快速追踪到偏振态变化,但接收端需要四个光电探测器(PD)以及相关偏振器件来获取斯托克斯四个参量,一定程度上增加了系统成本。同时,如果初始参考矢量的选取不当,会导致无法正确区分解复用后的信号所属偏振状态。同年,丹麦技术大学J.Estarán等利用斯托克斯分析仪实现了四个不同偏振态信号的传输与解复用。由于采用与K.Kikuchi相同的接收方式及偏振追踪方法,同样存在选取初始参考矢量的问题。同时,该方案采用四个不同的波长以消除不同偏振态之间的串扰。因此,从这个角度看,该方案并没有提高系统的频谱效率。另一方面,澳大利亚墨尔本大学W.Shieh课题组于2014年利用90°光混频器及平衡探测器实现了斯托克斯参量的获取并成功将单偏振16-QAM信号解调出来。该系统因采用与相干接收相类似的方式(但不需要本振),故具有较高的灵敏度且对QAM等信号有效。但是,偏振追踪与解复用方法较复杂。利用这种结构,加拿大麦吉尔大学的D.V.Plant课题组在2014年利用56GBaud PAM-4信号实现了224Gbit/s传输10km单模光纤的PDM-IM/DD系统。同样,该系统的解复用方法较复杂。In 2014, K.Kikuchi from the University of Tokyo proposed a scheme based on Stokes vectors to realize polarization tracking and demultiplexing. This scheme is simple and can quickly track the change of polarization state, but the receiving end needs four photodetectors (PD) and related polarization devices to obtain the four parameters of Stokes, which increases the system cost to a certain extent. At the same time, if the initial reference vector is not properly selected, it will lead to the inability to correctly distinguish the polarization state of the demultiplexed signal. In the same year, J.Estarán from the Technical University of Denmark used a Stokes analyzer to realize the transmission and demultiplexing of four different polarization state signals. Due to the same receiving method and polarization tracking method as K.Kikuchi, there is also the problem of selecting the initial reference vector. At the same time, the scheme uses four different wavelengths to eliminate crosstalk between different polarization states. Therefore, from this perspective, this solution does not improve the spectral efficiency of the system. On the other hand, W. Shieh's research group at the University of Melbourne in Australia used a 90° optical mixer and a balanced detector to obtain Stokes parameters and successfully demodulated a single-polarization 16-QAM signal in 2014. Because the system adopts a method similar to coherent reception (but does not require a local oscillator), it has high sensitivity and is effective for signals such as QAM. However, the polarization tracking and demultiplexing methods are complicated. Using this structure, the D.V.Plant research group of McGill University in Canada used 56GBaud PAM-4 signals to realize a PDM-IM/DD system with 224Gbit/s transmission over 10km single-mode fiber in 2014. Also, the demultiplexing method of this system is complicated.
因此研究频谱效率高、成本低廉以及方法复杂度低的PDM-IM/DD传输系统具有理论指导与实际应用意义。Therefore, the research on the PDM-IM/DD transmission system with high spectrum efficiency, low cost and low method complexity has theoretical guidance and practical application significance.
发明内容Contents of the invention
本发明所要解决的技术问题是提供一种双正交偏振复用强度调制系统及其解复用方法,在不增加发射机、接收机和方法复杂度的情况下,仅利用一个斯托克斯分析仪将2×PDM-IM/DD系统解复用出来,同时,能够快速跟踪偏振态的变化。The technical problem to be solved by the present invention is to provide a dual orthogonal polarization multiplexing intensity modulation system and its demultiplexing method, without increasing the complexity of the transmitter, receiver and method, only one Stokes The analyzer demultiplexes the 2×PDM-IM/DD system, and at the same time, can quickly track the change of the polarization state.
为解决上述技术问题,本发明采用的技术方案是:In order to solve the problems of the technologies described above, the technical solution adopted in the present invention is:
一种双正交偏振复用强度调制系统,两路正交偏振复用强度调制光信号共同连接到一个光耦合器,所述光耦合器、波分复用器、光放大器、光纤、波分解复用器、斯托克斯分析仪、数字信号处理单元依次相连。A double orthogonal polarization multiplexing intensity modulation system, two orthogonal polarization multiplexing intensity modulation optical signals are connected to an optical coupler, the optical coupler, wavelength division multiplexer, optical amplifier, optical fiber, wave decomposition The multiplexer, the Stokes analyzer, and the digital signal processing unit are connected in sequence.
进一步的,所述正交偏振复用强度调制光信号为2N路,相应的光耦合器为N个,斯托克斯分析仪为N个,N为正整数。Further, there are 2N paths of orthogonal polarization multiplexing intensity modulated optical signals, there are N corresponding optical couplers, and there are N Stokes analyzers, where N is a positive integer.
一种双正交偏振复用强度调制系统的解复用方法,包括以下步骤:A method for demultiplexing a bi-orthogonal polarization multiplexing intensity modulation system, comprising the following steps:
步骤1:在发射端,产生双正交偏振态复用信号,通过偏振控制器和光耦合器,将信号以不同的偏振角度复用在一起;Step 1: At the transmitting end, dual orthogonal polarization multiplexing signals are generated, and the signals are multiplexed together at different polarization angles through a polarization controller and an optical coupler;
步骤2:在接收机端,采用斯托克斯分析仪作为接收方式,得到电信号I0、I0deg、I45deg及IRC;Step 2: At the receiver end, use a Stokes analyzer as a receiving method to obtain electrical signals I 0 , I 0deg , I 45deg and I RC ;
步骤3:利用实时DSP信号处理实现复用信号的解调和恢复;信号的解调包括:首先对接收信号做重采样、时滞纠正以及直流补偿;再计算斯托克斯参量S0、S1、S2以及S3并实现偏振追踪;最后利用追踪后的参考向量实现解复用与解调,得到最终输出信号。Step 3: Use real-time DSP signal processing to realize the demodulation and recovery of the multiplexed signal; the signal demodulation includes: first resampling the received signal, correcting the time delay and DC compensation; then calculating the Stokes parameters S 0 , S 1 , S 2 and S 3 and implement polarization tracking; finally use the tracked reference vector to implement demultiplexing and demodulation to obtain the final output signal.
进一步的,所述步骤1具体为:Further, the step 1 is specifically:
步骤1.1:两路正交偏振复用强度调制光信号中第一信号经过第一移相器使得两路信号的相位固定相差π/2,第二信号经过第一半玻片使得两路信号的偏振态成正交关系;Step 1.1: The first signal of the two orthogonal polarization multiplexed intensity modulated optical signals passes through the first phase shifter so that the phases of the two signals have a fixed phase difference of π/2, and the second signal passes through the first half of the glass so that the phase of the two signals The polarization states are in an orthogonal relationship;
步骤1.2:从第一移相器和第一半波片输出的信号经过第一偏振合束器构成第一个正交偏振复用信号;同样,另外两个信号采用和第一信号和第二信号相同的方法构成正交偏振复用信号,但通过第二移相器使得两路信号的相位差固定到-π/2;Step 1.2: The signals output from the first phase shifter and the first half-wave plate pass through the first polarization beam combiner to form the first orthogonal polarization multiplexing signal; similarly, the other two signals are combined with the first signal and the second The signals are formed in the same way as the orthogonal polarization multiplexing signal, but the phase difference between the two signals is fixed to -π/2 through the second phase shifter;
步骤1.3:利用偏振控制器将两正交偏振复用信号的偏振态调节到固定45°状态,使得最后经过耦合器输出的复用信号偏振态分别是0°、90°、-45°以及45°。Step 1.3: Use the polarization controller to adjust the polarization states of the two orthogonal polarization multiplexing signals to a fixed 45° state, so that the polarization states of the multiplexed signals output through the coupler are 0°, 90°, -45° and 45° respectively. °.
进一步的,步骤2中斯托克斯分析仪具体接受方法为:Further, the specific acceptance method of the Stokes analyzer in step 2 is:
输入信号由一个1×4的耦合器将光功率等分为四路,第一路光信号直接通过第一光电探测器实现第一路电信号I0的获取;The input signal is divided into four channels by a 1×4 coupler, and the first optical signal directly passes through the first photodetector to realize the acquisition of the first electrical signal I 0 ;
第二路光信号在经过一个0°起偏器/检偏器,再通过第二光电探测器获得第二路电信号I0deg;The second optical signal passes through a 0° polarizer/analyzer, and then passes through the second photodetector to obtain the second electrical signal I 0deg ;
第三路光信号在经过一个45°起偏器/检偏器,再通过第三光电探测器获得第三路电信号I45deg;The third optical signal passes through a 45° polarizer/analyzer, and then obtains the third electrical signal I 45deg through the third photodetector;
最后一路光信号先经过一个四分之一玻片,再经过45°起偏器/检偏器,最后通过第四光电探测器获取第四路电信号IRC。The last optical signal first passes through a quarter slide, then passes through a 45° polarizer/analyzer, and finally obtains a fourth electrical signal I RC through the fourth photodetector.
进一步的,所述步骤3具体为:Further, the step 3 is specifically:
定义St1、St2以及St3为训练序列的斯托克斯参量,v1、v2以及v3为分别指向0°、45°以及右旋偏振方向的初始参考向量,针对2×PDM-OOK系统,偏振态追踪及解复用方法描述为:Define S t1 , S t2 and S t3 as the Stokes parameters of the training sequence, v 1 , v 2 and v 3 are the initial reference vectors pointing to 0°, 45° and right-handed polarization directions respectively, for 2×PDM- OOK system, polarization state tracking and demultiplexing method are described as:
1)当Sti(n)>Uthi时,vi(n+1)更新方式为:1) When S ti (n)>U thi , the update method of v i (n+1) is:
vi(n+1)={vi(n)+u·[s(n)-vi(n)]}/||vi(n)+u·[s(n)-vi(n)]||v i (n+1)={v i (n)+u·[s(n)-v i (n)]}/||v i (n)+u·[s(n)-v i ( n)]||
当Sti(n)<-Uthi时,vi(n+1)更新方式为:When S ti (n)<-U thi , the update method of v i (n+1) is:
vi(n+1)={vi(n)+u·[-s(n)-vi(n)]}/||vi(n)+u·[-s(n)-vi(n)]||v i (n+1)={v i (n)+u·[-s(n)-v i (n)]}/||v i (n)+u·[-s(n)-v i (n)]||
其中i=1、2或3,s(n)=[S1(n),S2(n),S3(n)],u为更新步长,Uthi为对应Sti判决门限;vi(n+1)更新收敛之后,获得偏振追踪后的三个斯托克斯矢量分别为vt1、vt2以及vt3;Where i=1, 2 or 3, s(n)=[S 1 (n), S 2 (n), S 3 (n)], u is the update step size, U thi is the corresponding S ti decision threshold; v After the i (n+1) update converges, the three Stokes vectors obtained after polarization tracking are v t1 , v t2 and v t3 ;
2)根据S0的分布,将信号分为五部分;2) According to the distribution of S 0 , the signal is divided into five parts;
A、当S0<Sth0时,判定发送端信号的状态都为低电平;A. When S 0 <S th0 , it is determined that the status of the signal at the sending end is low;
B、当S0>Sth3时,判定发送端信号的状态都为高电平;B. When S 0 >S th3 , it is determined that the state of the signal at the sending end is high;
C、当Sth0<S0<Sth1时,发送端四个偏振态只有其中一个携带高电平信号,计算vt1·s及vt2·s,根据其概率分布,判定发送端信号;C. When S th0 <S 0 <S th1 , only one of the four polarization states at the transmitting end carries a high-level signal, calculate v t1 s and v t2 s, and determine the signal at the transmitting end according to its probability distribution;
如果abs(vt1·s)>abs(vt2·s),当vt1·s<Sth4时,判定发送端信号只有90°偏振态携带了高电平;当vt1·s>Sth4时,判定发送端信号只有0°偏振态携带了高电平;If abs(v t1 s)>abs(v t2 s), when v t1 s<S th4 , it is determined that only the 90° polarization state of the signal at the sending end carries a high level; when v t1 s>S th4 When , it is determined that only the 0° polarization state of the signal at the sending end carries a high level;
如果abs(vt1·s)<abs(vt2·s),当vt2·s<Sth5时,判定发送端信号只有-45°偏振态携带了高电平;当vt2·s>Sth5时,判定发送端信号只有45°偏振态携带了高电平;If abs(v t1 s)<abs(v t2 s), when v t2 s<S th5 , it is determined that only the -45° polarization state of the sender signal carries a high level; when v t2 s>S When th5 , it is determined that only the 45° polarization state of the sending end signal carries a high level;
D、当Sth1<S0<Sth2时,发送端四个偏振态有两个携带高电平信号以及两个携带低电平信号;计算(vt1·s+vt2·s)、(vt1·s-vt2·s)及vt3·s,根据其概率分布,判定发送端信号;D. When S th1 <S 0 <S th2 , two of the four polarization states at the transmitting end carry high-level signals and two carry low-level signals; calculate (v t1 s+v t2 s), ( v t1 ·sv t2 ·s) and v t3 ·s, according to their probability distribution, determine the signal at the sending end;
当(vt1·s+vt2·s)<Sth6时,判定发送端信号中90°偏振态和-45°偏振态携带高电平;When (v t1 s+v t2 s)<S th6 , it is determined that the 90° polarization state and the -45° polarization state in the signal at the sending end carry a high level;
当(vt1·s+vt2·s)>Sth7时,判定发送端信号中0°偏振态和45°偏振态携带高电平;When (v t1 s+v t2 s)>S th7 , it is determined that the 0° polarization state and the 45° polarization state in the signal at the sending end carry a high level;
当(vt1·s-vt2·s)<Sth8时,判定发送端信号中90°偏振态和45°偏振态携带高电平;When (v t1 sv t2 s)<S th8 , it is determined that the 90° polarization state and the 45° polarization state in the signal at the sending end carry a high level;
当(vt1·s-vt2·s)>Sth9时,判定发送端信号中0°偏振态和-45°偏振态携带高电平;When (v t1 sv t2 s)>S th9 , it is determined that the 0° polarization state and the -45° polarization state in the signal at the sending end carry a high level;
当vt3·s<Sth10时,判定发送端信号中0°偏振态和90°偏振态携带高电平;When v t3 s<S th10 , it is determined that the 0° polarization state and the 90° polarization state in the signal at the sending end carry a high level;
当vt3·s>Sth10时,判定发送端信号中45°偏振态和-45°偏振态携带高电平;When v t3 s>S th10 , it is determined that the 45° polarization state and -45° polarization state in the signal at the sending end carry a high level;
E、当Sth2<S0<Sth3时,发送端四个偏振态只有其中一个携带低电平信号;同样,计算vt1·s及vt2·s,根据其概率分布,判定发送端信号;其中Sthj(j=0-10)是对应概率分布的判决阈值。E. When S th2 <S 0 <S th3 , only one of the four polarization states at the sending end carries a low-level signal; similarly, calculate v t1 s and v t2 s, and determine the signal at the sending end according to its probability distribution ; where S thj (j=0-10) is the decision threshold corresponding to the probability distribution.
与现有技术相比,本发明的有益效果是:Compared with prior art, the beneficial effect of the present invention is:
1)利用一个斯托克斯分析仪就可以实现两个正交偏振复用系统的同时解复用。1) Simultaneous demultiplexing of two orthogonal polarization multiplexing systems can be realized by using one Stokes analyzer.
2)偏振态的随机扰动能够通过相关方法快速地追踪到。2) The random perturbation of the polarization state can be quickly tracked by correlation methods.
3)发送端与接收端器件都非常成熟,只需对现有商用系统做少量改进就可以实现。本方法通过利用斯托克斯空间中三个正交矢量,实现了仅利用一个斯托克斯分析仪解复用两路正交偏振复用系统。3) Both the sending end and the receiving end devices are very mature, and it can be realized only by making a small amount of improvement to the existing commercial system. By using three orthogonal vectors in the Stokes space, the method realizes the demultiplexing of two orthogonal polarization multiplexing systems by using only one Stokes analyzer.
4)分方法可与其他复用技术波分复用(WDM)等结合,以实现低成本、大容量、动态自适应的下一代短距离光传输网络建设。4) The division method can be combined with other multiplexing technologies such as wavelength division multiplexing (WDM) to realize the construction of a low-cost, large-capacity, and dynamic adaptive next-generation short-distance optical transmission network.
5)本发明适用于短距离光互联、数据中心以及接入网信号传输,具有频谱效率高、成本低廉以及方法复杂度低等优势。5) The present invention is suitable for short-distance optical interconnection, data center and access network signal transmission, and has the advantages of high spectrum efficiency, low cost and low method complexity.
附图说明Description of drawings
图1为本发明中基于斯托克斯空间的双正交偏振复用强度调制/直接探测传输方案。FIG. 1 is a Stokes-space-based dual-orthogonal polarization multiplexing intensity modulation/direct detection transmission scheme in the present invention.
图2为本发明中双正交偏振复用强度调制信号产生结构图。Fig. 2 is a structural diagram of generating a biorthogonal polarization multiplexing intensity modulation signal in the present invention.
图3为本发明中2×PDM-OOK信号时域状态与合成偏振状态。FIG. 3 shows the time-domain state and synthesized polarization state of the 2×PDM-OOK signal in the present invention.
图4为本发明中斯托克斯分析仪的构成图。Fig. 4 is a structural diagram of a Stokes analyzer in the present invention.
图5为本发明中数字信号处理方法示意图。Fig. 5 is a schematic diagram of a digital signal processing method in the present invention.
图6为本发明中接收端总功率S0的概率分布。FIG. 6 is the probability distribution of the total power S 0 at the receiving end in the present invention.
图7为本发明中只有一个偏振态加载高电平信号时,vt1·S的概率分布。FIG. 7 shows the probability distribution of v t1 ·S when only one polarization state is loaded with a high-level signal in the present invention.
图8为本发明中只有一个偏振态加载高电平信号时,vt2·S的概率分布。FIG. 8 shows the probability distribution of v t2 ·S when only one polarization state is loaded with a high-level signal in the present invention.
图9为本发明中两个偏振态加载低电平信号,两个偏振态加载高电平信号时,(vt1·S+vt2·S)的概率分布。FIG. 9 shows the probability distribution of (v t1 ·S+v t2 ·S) when two polarization states are loaded with low-level signals and two polarization states are loaded with high-level signals in the present invention.
图10为本发明中两个偏振态加载低电平信号,两个偏振态加载高电平信号时,(vt1·S-vt2·S)的概率分布。FIG. 10 shows the probability distribution of (v t1 ·Sv t2 ·S) when two polarization states are loaded with low-level signals and two polarization states are loaded with high-level signals in the present invention.
图11为本发明中两个偏振态加载低电平信号,两个偏振态加载高电平信号时,vt3·S的概率分布。FIG. 11 shows the probability distribution of v t3 ·S when two polarization states are loaded with low-level signals and two polarization states are loaded with high-level signals in the present invention.
图12为本发明中背靠背传输后系统的误码率(Log(BER))与接收功率(ReceivedPower per Pol.)关系图。FIG. 12 is a graph showing the relationship between the bit error rate (Log(BER)) and the received power (ReceivedPower per Pol.) of the system after back-to-back transmission in the present invention.
图13为本发明中经过2公里传输后系统的误码率(Log(BER))与接收功率(Received Power per Pol.)关系图。FIG. 13 is a graph showing the relationship between the bit error rate (Log (BER)) and the received power (Received Power per Pol.) of the system after 2 kilometers of transmission in the present invention.
图14为本发明中接收端加入扰偏器后系统的误码率(Log(BER))与采样点(Sampling Number)关系图。FIG. 14 is a graph showing the relationship between the bit error rate (Log (BER)) and the sampling point (Sampling Number) of the system after adding a scrambler at the receiving end in the present invention.
具体实施方式detailed description
下面结合附图和具体实施方式对本发明作进一步详细的说明。The present invention will be further described in detail below in conjunction with the accompanying drawings and specific embodiments.
如图1所示,本发明方法由两路或2N路正交偏振复用强度调制光信号1011~1012N、一个或N个光耦合器1021~102N、一个波分复用器103、一个光放大器104、一段光纤105、一个波分解复用器106、一个或N个斯托克斯分析仪1071~107N以及一个数字信号处理单元108组成。具体逻辑关系如下:多路波长不同的PDM-IM光信号1011~1012N传到中心局后,由N个耦合器1021~102N合成N路2×PDM-IM光信号并通过一个波分复用器103合成为一个波分复用的2×PDM-IM光信号;复用后的光信号由一个放大器104放大进行功率补偿后,进入一段光纤105中传输;在接收端,复用信号首先通过一个波分解复用器106分离成N路独立的双正交偏振态复用信号,接着每一路2×PDM-IM信号又通过相应的斯托克斯分析仪107N接收并得到四路信号(I0、I0deg、I45deg以及IRC)。这四路信号通过相关运算得到三个斯托克斯参量S1、S2以及S3。最后,输入到数字信号处理单元108,在数字信号处理单元中通过相应方法将信号解调出来。As shown in Figure 1, the method of the present invention consists of two or 2N orthogonal polarization multiplexed intensity modulated optical signals 101 1 to 1012 N , one or N optical couplers 102 1 to 102 N , and one wavelength division multiplexer 103 , an optical amplifier 104 , a section of optical fiber 105 , a wave division multiplexer 106 , one or N Stokes analyzers 107 1 to 107 N and a digital signal processing unit 108 . The specific logical relationship is as follows: After multiple channels of PDM-IM optical signals 101 1 to 101 2N with different wavelengths are transmitted to the central office, N channels of 2×PDM-IM optical signals are synthesized by N couplers 102 1 to 102 N and passed through a wave The division multiplexer 103 synthesizes a wavelength division multiplexed 2×PDM-IM optical signal; the multiplexed optical signal is amplified by an amplifier 104 for power compensation, and then enters a section of optical fiber 105 for transmission; at the receiving end, the multiplexed The signal is first separated into N channels of independent bi-orthogonal polarization multiplexing signals through a wave division multiplexer 106, and then each channel of 2×PDM-IM signals is received by a corresponding Stokes analyzer 107 N to obtain four signals (I 0 , I 0deg , I 45deg and I RC ). The four signals are correlated to obtain three Stokes parameters S 1 , S 2 and S 3 . Finally, it is input to the digital signal processing unit 108, and the signal is demodulated by a corresponding method in the digital signal processing unit.
图2为本发明中2×PDM-IM/DD信号产生结构图。两路强度调制信号中信号1经过移相器1使得两路信号的相位固定相差π/2,信号2经过半玻片1使得两路信号的偏振态成正交关系。然后,经过偏振合束器1构成第一个正交偏振复用信号。同理,另外两个信号按相同方法构成正交偏振复用信号。但是,通过移相器2使得两路信号的相位差固定到-π/2。最后,利用偏振控制器将两正交偏振复用信号的偏振态调节到固定45°状态,使得最后经过耦合器输出的复用信号偏振态分别是0°、90°、-45°以及45°。FIG. 2 is a structural diagram of 2×PDM-IM/DD signal generation in the present invention. Among the two intensity modulation signals, the signal 1 passes through the phase shifter 1 so that the phases of the two signals differ by π/2, and the signal 2 passes through the half glass 1 so that the polarization states of the two signals are in an orthogonal relationship. Then, the first orthogonal polarization multiplexing signal is formed through the polarization beam combiner 1 . Similarly, the other two signals form an orthogonal polarization multiplexing signal in the same way. However, the phase difference between the two signals is fixed to -π/2 by the phase shifter 2 . Finally, use the polarization controller to adjust the polarization states of the two orthogonal polarization multiplexing signals to a fixed 45° state, so that the polarization states of the multiplexed signals output through the coupler are 0°, 90°, -45° and 45° respectively .
图3为本发明中2×PDM-OOK信号时域状态与合成偏振状态示意图。根据接收到的总功率,将信号分为5个部分。从图3可以看出,当总功率为0或4时,合成的偏振状态不明确;当总功率为1,最后得到的偏振状态与高电平信号那个偏振态一致;当总功率为2时,按照斯托克斯空间三个矢量方向(0°、45°以及右旋偏振方向)为正交基,合成的偏振态可分为如图所示的六种情况。值得注意的是,两功率相同且相位固定相差π/2或-π/2的正交信号,最后合成的偏振状态为右旋偏振态(RC)或左旋偏振态(LC)。同理,当总功率为3时,合成的偏振状态有四种。根据这个关系,可以很简单的实现偏振态追踪与解复用。Fig. 3 is a schematic diagram of time-domain state and synthesized polarization state of 2×PDM-OOK signal in the present invention. According to the total power received, the signal is divided into 5 parts. It can be seen from Figure 3 that when the total power is 0 or 4, the combined polarization state is not clear; when the total power is 1, the final polarization state is consistent with the polarization state of the high-level signal; when the total power is 2 , according to the three vector directions (0°, 45° and right-handed polarization direction) in the Stokes space as the orthogonal basis, the synthesized polarization states can be divided into six situations as shown in the figure. It is worth noting that for two quadrature signals with the same power and a fixed phase difference of π/2 or -π/2, the final synthesized polarization state is right-handed polarization state (RC) or left-handed polarization state (LC). Similarly, when the total power is 3, there are four synthesized polarization states. According to this relationship, polarization state tracking and demultiplexing can be realized very simply.
图4为本发明所用斯托克斯分析仪的基本结构图,其构成相对简单,利用现有的光子集成技术,很容易实现器件的制备。输入信号由一个1×4的耦合器将光功率等分为四路,第一路光信号直接通过光电探测器1(PD1)实现第一路电信号I0的获取;第二路光信号在经过一个0°起偏器/检偏器后再通过PD2获得第二路电信号I0deg;第三路光信号在经过一个45°起偏器/检偏器后再通过PD3获得第三路电信号I45deg;最后一路光信号先经过一个四分之一玻片,再经过45°起偏器/检偏器,最后通过PD4获取第四路电信号IRC。Fig. 4 is a basic structure diagram of the Stokes analyzer used in the present invention, its structure is relatively simple, and it is easy to realize the preparation of the device by using the existing photon integration technology. The input signal is divided into four channels by a 1×4 coupler. The first optical signal directly passes through the photodetector 1 (PD1) to realize the acquisition of the first electrical signal I 0 ; the second optical signal is in After passing through a 0° polarizer/analyzer, the second electrical signal I 0deg is obtained through PD2; the third optical signal is obtained through PD3 after passing through a 45° polarizer/analyzer. Signal I 45deg ; the last optical signal passes through a quarter slide first, then passes through a 45° polarizer/analyzer, and finally obtains the fourth electrical signal I RC through PD4.
图5为本发明的信号处理方法示意图。在斯托克斯分析仪获得四路电信号输出后,经过采样率为80GS/s的实时示波器实现对信号采样并存储相关数据。为了获得效果较好的采样点,在对信号进行处理前需要对信号做重采样处理。由于要保证四路信号的比特同步,所以在进行相关运算前需要做时滞纠正。另一方面,接收到的信号都经过了隔直流处理,而在计算斯托克斯参量时需要保留直流分量。所以,此处需要一个直流补偿过程。进一步地,通过公式(1)得到斯托克斯参量S1、S2以及S3。Fig. 5 is a schematic diagram of the signal processing method of the present invention. After the Stokes analyzer obtains four electrical signal outputs, the real-time oscilloscope with a sampling rate of 80GS/s realizes sampling of the signals and stores relevant data. In order to obtain better sampling points, it is necessary to resample the signal before processing the signal. Since it is necessary to ensure the bit synchronization of the four signals, it is necessary to perform time lag correction before performing the correlation operation. On the other hand, the received signal has been processed by DC blocking, and the DC component needs to be preserved when calculating the Stokes parameter. Therefore, a DC compensation process is required here. Further, the Stokes parameters S 1 , S 2 and S 3 are obtained by formula (1).
得到斯托克斯参量后,本发明采用类似于K.Kikuchi等提出方法来实现偏振追踪。同时,为了避免初始参考向量设置不当所带来的问题,本发明采用训练序列作为参考以实现偏振态的正确追踪。定义St1、St2以及St3为训练序列的斯托克斯参量,v1、v2以及v3为分别指向0°、45°以及RC偏振方向的初始参考向量,则具体偏振追踪方法可描述如下:当Sti(n)>Uthi时,vi(n+1)以公式(2)方式更新;当Sti(n)<Uthi时,vi(n+1)以公式(3)方式更新。After obtaining the Stokes parameters, the present invention implements polarization tracking using a method similar to that proposed by K. Kikuchi et al. At the same time, in order to avoid the problems caused by the improper setting of the initial reference vector, the present invention uses the training sequence as a reference to realize the correct tracking of the polarization state. Define S t1 , S t2 and S t3 as the Stokes parameters of the training sequence, v 1 , v 2 and v 3 are the initial reference vectors pointing to 0°, 45° and RC polarization direction respectively, then the specific polarization tracking method can be The description is as follows: when S ti (n)>U thi , v i (n+1) is updated according to formula (2); when S ti (n)<U thi , v i (n+1) is updated according to formula ( 3) Mode update.
vi(n+1)={vi(n)+u·[s(n)-vi(n)]}/||vi(n)+u·[s(n)-vi(n)]|| (2)v i (n+1)={v i (n)+u·[s(n)-v i (n)]}/||v i (n)+u·[s(n)-v i ( n)]|| (2)
vi(n+1)={vi(n)+u·[-s(n)-vi(n)]}/||vi(n)+u·[-s(n)-vi(n)]|| (3)v i (n+1)={v i (n)+u·[-s(n)-v i (n)]}/||v i (n)+u·[-s(n)-v i (n)]|| (3)
其中i=1、2或3,s(n)=[S1(n),S2(n),S3(n)],u为更新步长,Uthi为对应Sti判决门限。最后获得偏振追踪后的三个斯托克斯矢量分别为vt1、vt2以及vt3。Where i=1, 2 or 3, s(n)=[S 1 (n), S 2 (n), S 3 (n)], u is the update step size, and U thi is the decision threshold corresponding to S ti . Finally, three Stokes vectors obtained after polarization tracking are v t1 , v t2 and v t3 .
偏振追踪后,对信号做偏振解复用与判决处理。结合图3与图6-11所示,其中图6-11为本发明中相关斯托克斯矢量乘积的概率分布图。图6表示接收端总功率S0的概率分布;图7和8分别表示只有一个偏振态加载高电平信号时,其它偏振态都处于低电平时,vt1·s及vt2·s的概率分布;图9、10和11分别表示两个偏振态加载低电平信号,两个偏振态加载高电平信号时,(vt1·s+vt2·s)、(vt1·s-vt2·s)及vt3·s的概率分布。After polarization tracking, polarization demultiplexing and decision processing are performed on the signal. Combining Fig. 3 with Fig. 6-11, wherein Fig. 6-11 is a probability distribution diagram of the relevant Stokes vector product in the present invention. Figure 6 shows the probability distribution of the total power S 0 at the receiving end; Figures 7 and 8 respectively show the probabilities of v t1 s and v t2 s when only one polarization state is loaded with a high-level signal and the other polarization states are at a low level distribution; Figures 9, 10 and 11 show that when two polarization states are loaded with low-level signals and two polarization states are loaded with high-level signals, (v t1 s+v t2 s), (v t1 sv t2 s) and the probability distribution of v t3 ·s.
此部分方法描述如下:1)根据S0的分布,将信号分为五部分。The method of this part is described as follows: 1) According to the distribution of S0 , the signal is divided into five parts.
当S0<Sth0时,可以判定发送端的信号为图3中的第1种状态,即发送端信号皆为低电平。When S 0 <S th0 , it can be determined that the signal at the sending end is in the first state in Figure 3, that is, the signals at the sending end are all at low level.
当S0>Sth3时,可以判定发送端的信号为图3中的第16种状态,即发送端信号皆为高电平。When S 0 >S th3 , it can be determined that the signals at the sending end are in the 16th state in FIG. 3 , that is, the signals at the sending end are all at high level.
当Sth0<S0<Sth1时,只有一个偏振态加载了高电平信号,计算vt1·s及vt2·s并得到其概率分布如图7及8所示。如果abs(vt1·s)>abs(vt2·s),当vt1·s<Sth4时,可以判定发送端的信号为图3中的第4种状态,即发送端信号只有90°偏振态携带了高电平;当vt1·s>Sth4时,可以判定发送端的信号为图3中的第5种状态,即发送端信号只有0°偏振态携带了高电平。如果abs(vt1·s)<abs(vt2·s),当vt2·s<Sth5时,可以判定发送端的信号为图3中的第2种状态,即发送端信号只有-45°偏振态携带了高电平;当vt2·s>Sth5时,可以判定发送端的信号为图3中的第3种状态,即发送端信号只有45°偏振态携带了高电平。When S th0 <S 0 <S th1 , only one polarization state is loaded with a high-level signal. Calculate v t1 ·s and v t2 ·s and obtain their probability distributions, as shown in Figures 7 and 8. If abs(v t1 s)>abs(v t2 s), when v t1 s<S th4 , it can be determined that the signal at the sending end is in the fourth state in Figure 3, that is, the signal at the sending end has only 90° polarization state carries a high level; when v t1 ·s>S th4 , it can be determined that the signal at the sending end is in the fifth state in Figure 3, that is, only the 0° polarization state of the signal at the sending end carries a high level. If abs(v t1 s)<abs(v t2 s), when v t2 s<S th5 , it can be determined that the signal at the sending end is in the second state in Figure 3, that is, the signal at the sending end is only -45° The polarization state carries a high level; when v t2 s>S th5 , it can be determined that the signal at the sending end is in the third state in Figure 3, that is, only the 45° polarization state of the signal at the sending end carries a high level.
当Sth1<S0<Sth2时,有两个偏振态加载了高电平信号,计算(vt1·s+vt2·s)、(vt1·s-vt2·s)及vt3·s并得到其概率分布如图9、10及11所示。当(vt1·s+vt2·s)<Sth6时,可以判定发送端的信号为图3中的第7种状态,当(vt1·s+vt2·s)>Sth7时,可以判定发送端的信号为图3中的第10种状态;当(vt1·s-vt2·s)<Sth8时,可以判定发送端的信号为图3中的第8种状态,当(vt1·s-vt2·s)>Sth9时,可以判定发送端的信号为图3中的第9种状态;当vt3·s<Sth10时,可以判定发送端的信号为图3中的第11种状态,当vt3·s>Sth10时,可以判定发送端的信号为图3中的第6种状态。When S th1 <S 0 <S th2 , there are two polarization states loaded with high-level signals, calculate (v t1 s+v t2 s), (v t1 sv t2 s) and v t3 s And get its probability distribution as shown in Figures 9, 10 and 11. When (v t1 s+v t2 s)<S th6 , it can be determined that the signal at the sending end is in the seventh state in Figure 3, and when (v t1 s+v t2 s)>S th7 , it can be Determine that the signal at the sending end is the tenth state in Figure 3; when (v t1 sv t2 s)<S th8 , it can be determined that the signal at the sending end is in the eighth state in Figure 3, when (v t1 sv sv When t2 ·s)>S th9 , it can be determined that the signal at the sending end is in the ninth state in Figure 3; when v t3 ·s<S th10 , it can be determined that the signal at the sending end is in the eleventh state in Figure 3, when When v t3 ·s>S th10 , it can be determined that the signal at the sending end is in the sixth state in Figure 3.
当Sth2<S0<Sth3时,只有一个偏振态加载了低电平,可以通过计算vt1·s及vt2·s得到图3中第12-15种状态。至此,图3中的所有可能被判定出来,即信号得到了解复用与解调。此处的一个关键点是,在斯托克斯空间内0°、45°以及RC偏振态指向的矢量方向互相正交,0°与90°偏振态之间指向相反的方向,且-45°与45°以及RC与LC偏振态也一样。When S th2 <S 0 <S th3 , only one polarization state is loaded with a low level, and the 12th to 15th states in Figure 3 can be obtained by calculating v t1 ·s and v t2 ·s. So far, all the possibilities in Figure 3 have been determined, that is, the signal has been demultiplexed and demodulated. A key point here is that in the Stokes space, the vector directions of 0°, 45° and RC polarization states are orthogonal to each other, and the 0° and 90° polarization states point in opposite directions, and -45° Same with 45° and RC and LC polarization states.
图12-14分别为本发明中背靠背传输、经过2公里传输以及接收端加入扰偏器后系统的误码率曲线图。图12为单个偏振态、一个PDM以及2×PDM系统(本发明提出的系统)在背靠背传输情况下的误码率对比图。图中使用7%的前向纠错(FEC)阈值作为对比,表示任何低于这个阈值的误码率都可以恢复成无误码信号。Figures 12-14 are the bit error rate curves of the system in the present invention for back-to-back transmission, 2-kilometer transmission, and adding a scrambler at the receiving end. Fig. 12 is a comparison chart of bit error rates of a single polarization state, a PDM system and a 2×PDM system (the system proposed by the present invention) in the case of back-to-back transmission. The figure uses a forward error correction (FEC) threshold of 7% as a comparison, indicating that any bit error rate below this threshold can be restored to an error-free signal.
从图12中可以看出,本发明提出的系统在背靠背传输下比单个偏振态或一个正交偏振态复用系统性能相差约1.5dB。同时,各偏振态误码率基本上无差别。图13为2×PDM系统在背靠背与2km传输情况下的性能对比。从图中可以看出,2km传输的性能只比背靠背传输的性能差了约0.5dB。It can be seen from FIG. 12 that the performance of the system proposed by the present invention is about 1.5 dB worse than that of a single polarization state or an orthogonal polarization state multiplexing system under back-to-back transmission. At the same time, there is basically no difference in the bit error rate of each polarization state. Figure 13 shows the performance comparison of the 2×PDM system in the case of back-to-back and 2km transmission. It can be seen from the figure that the performance of 2km transmission is only about 0.5dB worse than that of back-to-back transmission.
另一方面,为了验证本发明中偏振追踪方法的性能,在固定接收端功率为-11.5dBm(平均到每个偏振态的功率)时,利用一个扰偏器来改变输入到斯托克斯分析仪的偏振态。设置扰偏器的扰偏速率为708.75deg/s。在采样数据时,固定每2分钟采一次。最后计算出来的误码率如图14所示,可以看出本发明使用的偏振追踪方法能够快速并准确地实现偏振态追踪。On the other hand, in order to verify the performance of the polarization tracking method in the present invention, when the power at the fixed receiving end is -11.5dBm (average to the power of each polarization state), a polarization scrambler is used to change the input to the Stokes analysis The polarization state of the instrument. Set the scrambling rate of the scrambler to 708.75deg/s. When sampling data, it is fixed every 2 minutes. The finally calculated bit error rate is shown in FIG. 14 , and it can be seen that the polarization tracking method used in the present invention can quickly and accurately realize polarization state tracking.
由以上实验结果可以观察到,本发明基于斯托克斯空间实现了2×PDM-IM/DD系统的偏振解复用与信号解调。该方案利用一个斯托克斯分析仪就可以实现两个正交偏振复用系统的同时解复用。同时,仅需对现有传输系统发送端与接收端做少量改进即可实现。由于本发明数字信号处理方法简单、兼容性好等特点,适合于短距离光互联、数据中心以及接入网信号传输。It can be observed from the above experimental results that the present invention realizes the polarization demultiplexing and signal demodulation of the 2×PDM-IM/DD system based on the Stokes space. This scheme can realize simultaneous demultiplexing of two orthogonal polarization multiplexing systems by using a Stokes analyzer. At the same time, only a small amount of improvement needs to be made to the sending end and the receiving end of the existing transmission system. Due to the advantages of simple digital signal processing method and good compatibility, the invention is suitable for short-distance optical interconnection, data center and access network signal transmission.
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