CN111064521B - Multi-dimensional orthogonal coding modulation method based on code division probability shaping - Google Patents
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Abstract
本发明涉及一种基于码分概率整形的多维正交编码调制方法,包括:串并变换原始一维二进制数据,并多维概率编码调制,得到非均匀概率分布的多路符号串;将多路符号串映射到星座点上,得到多维符号串;码分正交编码调制多维符号串,使多维符号串正交化,得到具有非均匀分布的多维正交数据流;对多维正交数据流依次进行正交化解调、星座解映射和多维概率解码处理,得到多路数据流;多路数据流经并串变换,得到原始一维二进制数据。本发明的编码调制方法较为简单,可实现大传输容量、低发射功率、低误码率的信号传输。
The invention relates to a multi-dimensional orthogonal coding and modulation method based on code division probability shaping, comprising: serial-parallel conversion of original one-dimensional binary data, and multi-dimensional probability coding and modulation to obtain a multi-channel symbol string with non-uniform probability distribution; The multi-dimensional symbol string is mapped to the constellation points to obtain a multi-dimensional symbol string; the code division orthogonal coding modulates the multi-dimensional symbol string to orthogonalize the multi-dimensional symbol string to obtain a multi-dimensional orthogonal data stream with non-uniform distribution; Orthogonalization demodulation, constellation demapping and multi-dimensional probability decoding processing, to obtain multi-channel data streams; multi-channel data streams undergo parallel-serial transformation to obtain original one-dimensional binary data. The coding modulation method of the present invention is relatively simple, and can realize signal transmission with large transmission capacity, low transmission power and low bit error rate.
Description
技术领域technical field
本发明属于通信领域,涉及光编码调制,尤其涉及一种基于码分概率整形的多维正交编码调制方法。The invention belongs to the field of communication, relates to optical coding modulation, and in particular relates to a multi-dimensional orthogonal coding modulation method based on code division probability shaping.
背景技术Background technique
从2G-3G-4G-5G的发展历程来看,每一次信息技术的革新都会引起社会经济的快速发展,衍生出一系列的新生行业,而这些新生行业的发展又对信息的传输速率、带宽、效率等传输系统的性能提出更高的要求。若想不断提升通信系统的传输性能,不仅需要研制适用于更高速率、更高频谱效率的光通信器件,还需要开发具有低功率、低误码率的新型编码信号处理方法。从最初的归零码和非归零码等一维编码调制格式,到正交幅度调制以及相位调制等二维编码调制,通信数据维度的增加使得光纤通信系统的传输容量得到成倍的提升。Judging from the development history of 2G-3G-4G-5G, every innovation of information technology will lead to the rapid development of society and economy, and a series of new industries will be derived, and the development of these new industries will affect the transmission rate and bandwidth of information. , efficiency and other transmission system performance put forward higher requirements. In order to continuously improve the transmission performance of communication systems, it is not only necessary to develop optical communication devices suitable for higher rates and higher spectral efficiency, but also to develop new coding signal processing methods with low power and low bit error rate. From the original one-dimensional code modulation format such as return-to-zero code and non-return-to-zero code to two-dimensional code modulation such as quadrature amplitude modulation and phase modulation, the increase in the dimension of communication data has doubled the transmission capacity of optical fiber communication systems.
随着二维编码调制技术的广泛应用,面对未来通信对于系统超大容量、高速率、高谱效率等信息传输要求,众多的研究者针对多维编码调制技术进一步地深入研究。由于正交幅度编码等二维编码采用的同一频率下的正弦和余弦这一对正交基,但同一频率下并不存在第三个正交基,使之能与正弦、余弦三者之间相互正交。因此,多维度编码调制技术最大的难题是三维以及多维正交基的选择。目前,在多维正交传输方面,有研究学者表明可以使用MinMax算法等计算一组三个频率下的正交基组合,从而实现多维信息的传输。然而,非同一频率的载波正交会使得传输系统的误码率严重增加。With the wide application of two-dimensional coding and modulation technology, many researchers have made further in-depth research on multi-dimensional coding and modulation technology in the face of future communication requirements for information transmission such as ultra-large capacity, high speed, and high spectral efficiency. Due to the pair of orthogonal bases of sine and cosine at the same frequency used in two-dimensional coding such as quadrature amplitude coding, there is no third orthogonal base at the same frequency, so that it can be compared with the three sine and cosine. orthogonal to each other. Therefore, the biggest problem of multi-dimensional coding and modulation technology is the selection of three-dimensional and multi-dimensional orthogonal basis. At present, in terms of multi-dimensional orthogonal transmission, some researchers have shown that the MinMax algorithm can be used to calculate a set of orthogonal basis combinations at three frequencies, so as to realize the transmission of multi-dimensional information. However, the orthogonality of the carriers of different frequencies will seriously increase the bit error rate of the transmission system.
发明内容SUMMARY OF THE INVENTION
本发明提出一种低功耗、低误码率的基于码分概率整形的多维正交编码调制方法。The invention proposes a multi-dimensional orthogonal coding modulation method based on code division probability shaping with low power consumption and low error rate.
本发明所采用的技术方案为:The technical scheme adopted in the present invention is:
一种基于码分概率整形的多维正交编码调制方法,包括如下步骤:A multi-dimensional orthogonal coding modulation method based on code division probability shaping, comprising the following steps:
步骤1)、串并变换原始一维二进制数据,得到多路数据流;多路数据流经多维概率编码调制,得到非均匀概率分布的多路数据序列,即多路符号串;Step 1), serial-parallel conversion of original one-dimensional binary data, to obtain multi-channel data streams; multi-channel data streams are subjected to multi-dimensional probability coding and modulation to obtain multi-channel data sequences with non-uniform probability distribution, that is, multi-channel symbol strings;
步骤2)、多维星座映射调制多路符号串,将多路符号串映射到星座点上,得到多维符号串;Step 2), multi-dimensional constellation mapping modulation multi-way symbol string, the multi-way symbol string is mapped on the constellation point, obtains the multi-dimensional symbol string;
步骤3)、码分正交编码调制多维符号串,使多维符号串正交化,得到具有非均匀分布的多维正交数据流,多维正交数据流经波形和光调制后,通过光纤传输链路传输;Step 3), code division orthogonal coding modulates the multi-dimensional symbol string, so that the multi-dimensional symbol string is orthogonalized to obtain a multi-dimensional orthogonal data stream with non-uniform distribution. transmission;
步骤4)、接收多维正交数据流,并依次对其进行正交化解调、星座解映射和多维概率解码处理,恢复多路数据流;恢复的多路数据流经并串变换,得到原始一维二进制数据。Step 4), receive the multi-dimensional orthogonal data stream, and perform orthogonalization demodulation, constellation demapping and multi-dimensional probability decoding processing successively to it, and restore the multi-channel data stream; One-dimensional binary data.
进一步地,步骤3)中,还对多维正交数据流进行多载波正交复用处理。Further, in step 3), multi-carrier orthogonal multiplexing processing is also performed on the multi-dimensional orthogonal data stream.
进一步地,步骤4)中,接收到的多维正交数据流在进行正交化解调处理之前,还进行信道盲均衡处理。Further, in step 4), the received multi-dimensional orthogonal data stream is also subjected to channel blind equalization processing before performing the orthogonalization demodulation processing.
进一步地,步骤1)中,多维概率编码调制包括:确定搭载多路数据流的信号的调制级数N,将N级信号重新标定并在构成多路数据流的字符串后添加固定的用于识别的符号级标签{00,01,10,11},得到多路符号串,使N级信号星座外圈的点映射到内圈星座点上,改变信号各个星座点的概率分布,降低信号的调制级数。Further, in step 1), the multi-dimensional probability coding modulation includes: determining the modulation level N of the signal carrying the multi-channel data stream, re-calibrating the N-level signal and adding a fixed number for the string after forming the multi-channel data stream. The identified symbol-level labels are {00, 01, 10, 11}, and a multi-channel symbol string is obtained, so that the points in the outer circle of the N-level signal constellation are mapped to the constellation points in the inner circle, and the probability distribution of each constellation point of the signal is changed. modulation level.
进一步地,步骤2)具体包括:Further, step 2) specifically includes:
步骤21)、建立相邻星座点间距为2的正立方形,并以正立方形中心点作为原点O,建立O-XYZ三维坐标系,X轴、Y轴和Z轴均垂直于正立方形的端面;最内圈各星座点距离坐标原点的欧式距离相等;Step 21), establish a cube with a distance of 2 between adjacent constellation points, and take the center point of the cube as the origin O, establish an O-XYZ three-dimensional coordinate system, and the X-axis, Y-axis and Z-axis are all perpendicular to the cube The end face of ; the Euclidean distance of each constellation point in the innermost circle from the coordinate origin is equal;
步骤22)、以正立方形上端面上、两两相邻的星座点间距为边长,向外斜45度作等边三角形,正立方形下端面上按同样方法操作,确定次内圈星座点,同时确定次内圈立方形;Step 22), take the distance between two adjacent constellation points on the upper end of the cube as the side length, make an equilateral triangle with an outward slope of 45 degrees, and operate in the same way on the lower end of the cube to determine the secondary inner circle constellation point, and at the same time determine the cubic shape of the secondary inner ring;
步骤23)、按照步骤22)的方法,在次内圈立方形上、下端面上,以位于同一端面上两两以相邻的次内圈星座点间距为边长作等边三角形;重复此过程,直到获得多路符号串的完整的星座图;Step 23), according to the method of step 22), on the upper and lower end faces of the secondary inner ring cube, make an equilateral triangle with the distance between the adjacent secondary inner ring constellation points as the side lengths on the same end face; repeat this process until the complete constellation diagram of the multi-channel symbol string is obtained;
步骤24)、将多路符号串对应地映射到星座点上,得到由星座点坐标组成的多维符号串。Step 24): Map the multi-channel symbol string to the constellation points correspondingly to obtain a multi-dimensional symbol string composed of the coordinates of the constellation points.
进一步地,步骤3)具体包括:Further, step 3) specifically includes:
步骤31)、通过正交码生成算法得到行矩阵两两正交的多维正交码矩阵H;Step 31), obtain the multi-dimensional orthogonal code matrix H that the row matrix is orthogonal to each other by the orthogonal code generation algorithm;
步骤32)、将多维符号串的每一维数据与多维正交码矩阵H相乘,得到多维正交数据流。Step 32): Multiply each dimensional data of the multi-dimensional symbol string by the multi-dimensional orthogonal code matrix H to obtain a multi-dimensional orthogonal data stream.
进一步地,正交码生成算法采用哈希码算法。Further, the orthogonal code generation algorithm adopts a hash code algorithm.
本发明的有益效果在于:The beneficial effects of the present invention are:
本发明另辟蹊径,提出多维正交化矩阵,取代正交基选择,解决多维信息传输的问题。本发明通过于码分概率整形编码改变传统的均匀分布信号的调制格式,实现传输信息星座点的非均匀分布,使得靠近星座中心的星座点数增加,星座编码的星座点数减少,发送信号的能量降低,抗噪性能强。通过码分正交编码调制实现多维概率编码信号的正交化,可进一步地提升码间抗干扰能力,同时,降低误码率。本发明的编码调制方法较为简单,可最终实现大传输容量、低发射功率、低误码率的信号传输。The invention takes a new approach and proposes a multi-dimensional orthogonalization matrix to replace the orthogonal basis selection, so as to solve the problem of multi-dimensional information transmission. The present invention realizes the non-uniform distribution of transmission information constellation points by changing the modulation format of the traditional uniformly distributed signal through the code division probability shaping coding, so that the number of constellation points close to the center of the constellation increases, the number of constellation points for constellation coding decreases, and the energy of the transmitted signal decreases , strong anti-noise performance. The orthogonalization of multi-dimensional probability coded signals is realized through code division orthogonal coding and modulation, which can further improve the anti-interference ability between codes, and at the same time, reduce the bit error rate. The coding and modulation method of the present invention is relatively simple, and can finally realize signal transmission with large transmission capacity, low transmission power and low bit error rate.
附图说明Description of drawings
图1为本发明的基于码分概率整形的多维正交编码调制方法的流程图;1 is a flowchart of a multi-dimensional orthogonal coding and modulation method based on code division probability shaping of the present invention;
图2为32QAM信号通过固定符号级标签的概率整形编码转为16QAM信号的示意图;Fig. 2 is a schematic diagram of converting a 32QAM signal into a 16QAM signal through probability shaping coding of a fixed symbol-level label;
图3为三维概率编码调制星座构建流程图;Fig. 3 is a three-dimensional probability coding modulation constellation construction flow chart;
图4为多维码分正交编码调制、解调原理图;4 is a schematic diagram of multi-dimensional code division orthogonal coding modulation and demodulation;
图5为多维数据流示意图,其中,图5(a)为单一频率下的多维数据流,图5(b)为多频率下的多维数据流;Figure 5 is a schematic diagram of a multi-dimensional data flow, wherein Figure 5 (a) is a multi-dimensional data flow under a single frequency, and Figure 5 (b) is a multi-dimensional data flow under multiple frequencies;
图6为基于码分概率整形的多维正交编码调制PON的仿真系统图;6 is a simulation system diagram of a multi-dimensional orthogonal code modulation PON based on code division probability shaping;
图7为模拟仿真得到的误码率随信噪比的变化曲线图。FIG. 7 is a graph showing the variation of the bit error rate with the signal-to-noise ratio obtained by the simulation.
具体实施方式Detailed ways
下面结合附图和具体的实施例对本发明的基于码分概率整形的多维正交编码调制方法作进一步地详细说明。The multi-dimensional orthogonal coding and modulation method based on code division probability shaping of the present invention will be further described in detail below with reference to the accompanying drawings and specific embodiments.
如图1所示,一种基于码分概率整形的多维正交编码调制方法,包括如下步骤:As shown in Figure 1, a multi-dimensional orthogonal coding and modulation method based on code division probability shaping includes the following steps:
步骤1)、串并变换原始一维二进制数据,得到多路数据流。多路数据流经多维概率编码调制,得到非均匀概率分布的多路数据序列,即多路符号串(序列由符号串组成)。Step 1): Convert the original one-dimensional binary data serially to parallel to obtain multiple data streams. The multi-channel data flow is subjected to multi-dimensional probability coding and modulation to obtain a multi-channel data sequence with a non-uniform probability distribution, that is, a multi-channel symbol string (the sequence is composed of a symbol string).
步骤2)、多维星座映射调制多路符号串,将多路符号串映射到星座点上,得到多维符号串(映射后的多路符号串)。Step 2): Multi-dimensional constellation mapping modulates the multi-channel symbol string, and maps the multi-channel symbol string to the constellation points to obtain the multi-dimensional symbol string (the mapped multi-channel symbol string).
步骤3)、码分正交编码调制步骤2)得到的多维符号串,使多维符号串正交化,得到具有非均匀分布的多维正交数据流,多维正交数据流经波形和光调制后(经过激光器、波形发生器、光调制器调制得到光信号),通过光纤传输链路(对应于图1中的信道和光放大器)传输。Step 3), code division orthogonal coding modulates the multi-dimensional symbol string obtained in step 2), orthogonalizes the multi-dimensional symbol string, and obtains a multi-dimensional orthogonal data stream with non-uniform distribution. Modulated by a laser, a waveform generator, and an optical modulator to obtain an optical signal), and transmitted through an optical fiber transmission link (corresponding to the channel and optical amplifier in Figure 1).
步骤4)、对(光电探测器)接收到的多维正交数据流依次进行信道盲均衡、正交化解调、星座解映射和多维概率解码处理,恢复多路数据流。恢复的多路数据流经并串变换,得到原始一维二进制数据。Step 4): Perform channel blind equalization, orthogonalization demodulation, constellation demapping and multi-dimensional probability decoding processing on the multi-dimensional orthogonal data streams received by the (photodetector) in sequence, and restore the multi-channel data streams. The recovered multi-channel data flows through parallel-serial transformation to obtain original one-dimensional binary data.
具体地,步骤1)中,多维概率编码调制是将串并变换后的多路并行、均匀分布的二进制数据调制成概率非均匀分布的多维数据流。Specifically, in step 1), the multi-dimensional probability coding modulation is to modulate the multi-channel parallel and uniformly distributed binary data after serial-parallel conversion into a multi-dimensional data stream with non-uniform probability distribution.
包括:确定搭载多路数据流的信号的调制级数N,将N级信号重新标定并在构成多路数据流的字符串后添加固定的用于识别的符号级标签{00,01,10,11},得到多路符号串,使N级信号星座外圈的点映射到内圈星座点上,并通过固定的符号级标签识别,通过减少星座外圈的点降低信号的调制级数。调制级数的降低可以使得在发射功率不变的情况下,传输信号的星座点之间的欧式距离增大,从而可降低传输系统的误码率,提升传输信号的质量。此外,通过重新标定和添加符号级标签,可增大星座内圈星座点的概率,降低外圈星座点的概率,将不同的外圈星座点映射到内圈中,改变信号各个星座点的概率分布,使得多维信号具有不同的概率分布。Including: determining the modulation level N of the signal carrying multiple data streams, re-calibrating the N-level signal and adding a fixed symbol-level label {00,01,10, 11}, obtain a multi-channel symbol string, map the points in the outer circle of the N-level signal constellation to the inner circle constellation points, and identify them through a fixed symbol-level label, and reduce the modulation level of the signal by reducing the points in the outer circle of the constellation. The reduction of the modulation level can increase the Euclidean distance between the constellation points of the transmission signal under the condition of constant transmission power, thereby reducing the bit error rate of the transmission system and improving the quality of the transmission signal. In addition, by re-calibrating and adding symbol-level labels, the probability of constellation points in the inner circle of the constellation can be increased, the probability of constellation points in the outer circle can be reduced, and different constellation points in the outer circle can be mapped to the inner circle, changing the probability of each constellation point of the signal distribution, so that multidimensional signals have different probability distributions.
以32QAM信号转为16QAM信号为例,参见图2,方框中的为N级信号,圆圈中的为重新标定的信号(4位)+标签(斜体2位),在图2右侧圆圈中的符号串中的斜体表示的是固定的符号级标签。在图2中,将32QAM中的“00000,00111,01110,10011”四个符号串映射到16QAM的0000星座点上,并在0000符号串添加符号级标签{00,01,10,11}作区分识别,其他路数据流的字符串的操作方法相同。通过图2中的多维概率整形,各个星座点的概率如表1所示。Take the conversion of 32QAM signal to 16QAM signal as an example, see Figure 2, the N-level signal in the box, the re-calibrated signal (4 bits) + label (2 bits in italics) in the circle, in the circle on the right side of Figure 2 Italics in the string of symbols indicate fixed symbol-level labels. In Figure 2, the four symbol strings of "00000, 00111, 01110, 10011" in 32QAM are mapped to the 0000 constellation point of 16QAM, and the symbol-level labels {00, 01, 10, 11} are added to the 0000 symbol string as Differentiation and identification, the operation method of the strings of other data streams is the same. Through the multi-dimensional probability shaping in Fig. 2, the probability of each constellation point is shown in Table 1.
表1基于固定符号级标签的概率整形编码后16QAM概率分布表Table 1 16QAM probability distribution table after probability shaping based on fixed symbol-level labels
由表1可见,调制后的信号概率不再是均匀分布,增大内圈点的概率,减小外圈点的概率,根据平均功率计算公式,计算得出的平均功率要比均匀分布的信号的平均功率低,调制后的信号具有低发射功率和更优的抗噪声性能。It can be seen from Table 1 that the modulated signal probability is no longer evenly distributed, the probability of the inner circle point is increased, and the probability of the outer circle point is reduced. Low power, the modulated signal has low transmit power and better anti-noise performance.
步骤2)中,将步骤1)得到的多路符号串一一映射到多维星座图中。包括:In step 2), the multi-channel symbol strings obtained in step 1) are mapped to a multi-dimensional constellation diagram one by one. include:
步骤21)、建立相邻星座点间距为2的正立方形,得到最内圈的星座点,并以正立方形中心点作为原点O,建立O-XYZ三维坐标系,X轴、Y轴和Z轴均垂直于正立方形的端面。最内圈各星座点距离坐标原点的欧式距离相等。Step 21), establish a square with a distance of 2 between adjacent constellation points, obtain the constellation point of the innermost circle, and use the center point of the cube as the origin O, establish an O-XYZ three-dimensional coordinate system, X-axis, Y-axis and The Z axes are all perpendicular to the end faces of the square. The Euclidean distances of the constellation points in the innermost circle from the origin of the coordinates are the same.
步骤22)、以正立方形上端面上、两两相邻的星座点间距为边长,向外斜45度作等边三角形,正立方形下端面上按同样方法操作,确定次内圈星座点,同时确定次内圈立方形。Step 22), take the distance between two adjacent constellation points on the upper end of the cube as the side length, make an equilateral triangle with an outward slope of 45 degrees, and operate in the same way on the lower end of the cube to determine the secondary inner circle constellation point, and at the same time determine the secondary inner circle cube.
步骤23)、按照步骤22)的方法,在次内圈立方形上、下端面上,以位于同一端面上两两相邻的次内圈星座点间距为边长作等边三角形。重复此过程,直到获得多路符号串的完整的星座图。Step 23), according to the method of step 22), on the upper and lower end faces of the secondary inner ring cube, make an equilateral triangle with the distance between two adjacent secondary inner ring constellation points on the same end face as the side length. This process is repeated until the complete constellation diagram of the multipath symbol string is obtained.
步骤24)、将多路符号串对应地映射到星座点上,得到由星座点坐标组成的多维符号串。Step 24): Map the multi-channel symbol string to the constellation points correspondingly to obtain a multi-dimensional symbol string composed of the coordinates of the constellation points.
以上述得到的16QAM信号为例,参见图3,首先,图3(a)由正立方形确定最内圈星座点。接着,以图3(a)为基础,根据步骤22)作等边三角形,得到图3(b)所示。由于为16QAM的仿真,所以最终得到的是图3(c)所示的星座图。Taking the 16QAM signal obtained above as an example, referring to FIG. 3 , first, FIG. 3( a ) determines the innermost constellation point by the square. Next, based on Fig. 3(a), according to step 22), an equilateral triangle is made, as shown in Fig. 3(b). Since it is a 16QAM simulation, the constellation diagram shown in Figure 3(c) is finally obtained.
步骤3)中,将步骤2)得到的多维符号串调制到不同的正交维度上进行传输。包括:In step 3), the multi-dimensional symbol string obtained in step 2) is modulated into different orthogonal dimensions for transmission. include:
步骤31)、通过正交码生成算法得到行矩阵两两正交的多维正交码矩阵H。本实施例中,正交码生成算法采用哈希码算法。Step 31): Obtain a multi-dimensional orthogonal code matrix H in which the row matrices are orthogonal to each other through an orthogonal code generation algorithm. In this embodiment, the orthogonal code generation algorithm adopts a hash code algorithm.
步骤32)、将多维符号串的每一维数据与多维正交码矩阵H相乘,得到多维正交数据流,使得不同维度上的传输数据相互正交,如图4左半部分所示。图4中,正交码1、正交码2、……和正交码m分别为多维正交码矩阵H的行向量,s1表示第一路发送端信息(可以理解为函数中的自变量),s2表示第二路发送端信息,……依此类推。r1表示接收端第一路接收数据,r2表示接收端第一路接收数据,……依此类推。Step 32): Multiply each dimensional data of the multi-dimensional symbol string by the multi-dimensional orthogonal code matrix H to obtain a multi-dimensional orthogonal data stream, so that the transmission data in different dimensions are mutually orthogonal, as shown in the left half of FIG. 4 . In Fig. 4,
此外,步骤3)中,还可对多维正交数据流进行多载波正交复用处理,可极大地提升传输容量,还可以降低传输误码率,获得更优的传输性能,参见图5给出的单一频率和多频率下的多维数据流示意图。In addition, in step 3), multi-carrier orthogonal multiplexing can also be performed on the multi-dimensional orthogonal data stream, which can greatly improve the transmission capacity, reduce the transmission bit error rate, and obtain better transmission performance. Schematic diagram of multidimensional data flow under single frequency and multi-frequency.
步骤4)中,信道盲均衡处理,可补偿码间干扰,降低误码率,提升接收信号的质量,保证信号的准确性和可靠性。In step 4), the channel blind equalization process can compensate for inter-symbol interference, reduce the bit error rate, improve the quality of the received signal, and ensure the accuracy and reliability of the signal.
正交化解调处理,对多维正交数据流进行正交解码,参见图4右半部分,将均衡去燥后的多维正交数据流与多维正交码矩阵H相乘,恢复多维符号串。Orthogonalization demodulation processing, performing orthogonal decoding on the multi-dimensional orthogonal data stream, see the right half of Figure 4, multiplying the multi-dimensional orthogonal data stream after equalization and de-drying by the multi-dimensional orthogonal code matrix H to restore the multi-dimensional symbol string .
星座解映射处理,调用步骤23)最终获得的星座图,并根据每一星座点的坐标位置,将恢复的多维符号串一一解映射,恢复多路符号串。In the constellation demapping process, the constellation diagram finally obtained in step 23) is called, and according to the coordinate position of each constellation point, the recovered multi-dimensional symbol strings are demapped one by one to recover the multi-channel symbol strings.
多维概率解码处理,根据步骤1)具体的编码规律将恢复的多路符号串一一解码,并进行并串变换,得到原始一维二进制数据。In the multi-dimensional probability decoding process, the recovered multi-channel symbol strings are decoded one by one according to the specific coding rule of step 1), and the parallel-serial transformation is performed to obtain the original one-dimensional binary data.
下面通过仿真模拟实验对本发明的基于码分概率整形的多维正交编码调制方法的效果进行说明。The effect of the multi-dimensional orthogonal coding and modulation method based on code division probability shaping of the present invention will be described below through a simulation experiment.
图6为本发明模拟仿真用的系统图,在发送端,将原始二进制数据进行码分概率整形调制,获得多维非均匀分布且发射功率低的发送端数据。使用波形发生器将数字信号处理(DSP)后的发送端数据发送给光调制器,再通过光调制器将发送端数据调制到光纤传输链路。在接收端使用光电探测器接收并转化为电信号,并由实时数字示波器接收并进行DSP处理。利用可调光衰减器调节接收光功率并测量传输系统的数据误码率。6 is a system diagram for simulation of the present invention. At the transmitting end, the original binary data is subjected to code division probability shaping modulation to obtain the transmitting end data with multi-dimensional non-uniform distribution and low transmit power. A waveform generator is used to send the digital signal processing (DSP) data at the transmitting end to the optical modulator, and then the data at the transmitting end is modulated to the optical fiber transmission link through the optical modulator. At the receiving end, a photodetector is used to receive and convert it into an electrical signal, which is received by a real-time digital oscilloscope and processed by DSP. Adjust the received optical power using the adjustable optical attenuator and measure the data error rate of the transmission system.
发明人利用MATLAB仿真软件对二维和三维均匀分布的32QAM以及三维码分概率整形信号进行实验模拟。模拟过程中采用高斯白噪声信道,得到误码率随信噪比的变化曲线图,如图7所示,图中,横坐标代表信噪比(SNR),纵坐标代表误码率(BER)。可以明显看出本实施例中所提出的三维码分概率整形优于常规均匀分布的信号传输。因此,三维码分概率整形多维正交编码调制技术可以降低传输系统的误码率,提升系统的传输性能。The inventor uses MATLAB simulation software to perform experimental simulation on the 2D and 3D uniformly distributed 32QAM and the 3D code division probability shaping signal. In the simulation process, the Gaussian white noise channel is used, and the change curve of the bit error rate with the signal-to-noise ratio is obtained, as shown in Figure 7. In the figure, the abscissa represents the signal-to-noise ratio (SNR), and the ordinate represents the bit error rate (BER) . It can be clearly seen that the three-dimensional code division probability shaping proposed in this embodiment is superior to the conventional uniform distribution signal transmission. Therefore, the three-dimensional code division probability shaping multi-dimensional orthogonal coding modulation technology can reduce the bit error rate of the transmission system and improve the transmission performance of the system.
需指出,本发明中,多载波正交复用处理和信道盲均衡处理均为现有技术。It should be pointed out that in the present invention, the multi-carrier orthogonal multiplexing processing and the channel blind equalization processing are both the prior art.
以上所述,仅为本发明的具体实施方式,但本发明的保护范围并不局限于此,任何熟悉本技术领域的技术人员在本发明揭露的技术方法范围内,可轻易想到的替换或变换方法,都应该涵盖在本发明的保护范围之内。The above are only specific embodiments of the present invention, but the protection scope of the present invention is not limited to this. Any person skilled in the art can easily think of replacements or transformations within the scope of the technical methods disclosed in the present invention. All methods should be covered within the protection scope of the present invention.
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