CN110855328B - Differential spatial modulation method, device and storage medium based on antenna grouping - Google Patents
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Abstract
本发明公开了一种基于天线分组的差分空间调制方法、设备及存储介质,根据两个特定的天线激活矩阵,分别将STBC编码矩阵中的对应符号激活,形成TA‑DSM发送信号进行发送。由于采用发射天线分组的形式且STBC矩阵中采用Alamouti编码的形式;本发明适合于任意偶数根发射天线;在发射天线数相同的情况下,具有更多的天线激活矩阵数,因而获得更高的频谱效率;本发明在无需做任何参数或者矩阵优化的情况下具有永不消失的行列式特性;本发明在编码结构上具有正交结构,因而可以采用低复杂度的译码算法,具有很低的译码复杂度。仿真结果表明:在不同的系统配置下,较现有的其它可获取发射分集的差分空间调制方案具有更好的误码性能。
The invention discloses a differential spatial modulation method, device and storage medium based on antenna grouping. According to two specific antenna activation matrices, corresponding symbols in the STBC coding matrix are respectively activated to form a TA-DSM transmission signal for transmission. Because the form of transmitting antenna grouping is adopted and the form of Alamouti coding is adopted in the STBC matrix; the present invention is suitable for any even number of transmitting antennas; in the case of the same number of transmitting antennas, there are more antenna activation matrices, thus obtaining higher Spectral efficiency; the present invention has the determinant characteristic that never disappears without any parameter or matrix optimization; the present invention has an orthogonal structure in the coding structure, so a low-complexity decoding algorithm can be used, and the decoding complexity. The simulation results show that under different system configurations, it has better bit error performance than other existing differential spatial modulation schemes that can obtain transmit diversity.
Description
【技术领域】【Technical field】
本发明属于多天线无线通信系统中的发射分集传输技术领域,涉及一种基于天线分组的差分空间调制方法、设备及存储介质。The invention belongs to the technical field of transmit diversity transmission in a multi-antenna wireless communication system, and relates to a differential spatial modulation method, equipment and storage medium based on antenna grouping.
【背景技术】【Background technique】
差分空间调制(Differential Spatial Modulation,DSM)传输技术很好的解决了传统空间调制(Spatial Modulation,SM)技术中难以准确估计信道信息的问题。然而DSM没有获取发射分集,只能依赖接收分集来对抗信道衰落。The differential spatial modulation (Differential Spatial Modulation, DSM) transmission technology solves the problem of difficulty in accurately estimating channel information in the traditional spatial modulation (Spatial Modulation, SM) technology. However, DSM does not acquire transmit diversity and can only rely on receive diversity to combat channel fading.
为了获取发射分集,文献提出了基于空时分组码字的差分传输机制,给出了在差分传输模型中获取发射分集的设计思路。文献给出了一种双天线情况下的DSM算法,通过码字设计,该算法在避免进行信道估计的情况下获取了二阶发射分集,但是其码字参数较多,且仅适用于发射天线数目为2的系统。文献提出了一种基于散射矩阵的差分空间调制(Dispersion Matrices based DSM,DM-DSM)方案,该方案以牺牲频谱效率为代价获得了发射分集,且该方案在译码时需要在整个码字空间中进行搜索,不能实现线性译码,因而具有较高的译码复杂度。文献中还提出了一种可以获得满分集的基于代数域扩展的差分空间调制(Field Extension for DSM,FE-DSM)方案,该方案在DM-DSM的基础上采用了一种代数域扩展的方法来构造差分空时码块从而获得满分集,但是由于码字个数的减少导致其频谱效率较低。文献提出了一种基于采用Alamouti STBC结构的差分空间传输方案STBC-DSM,该方案码字设计较为简单,能够获取二阶发射分集,并且支持低复杂度译码,但其频谱效率较低。In order to obtain transmit diversity, the literature proposes a differential transmission mechanism based on space-time block codewords, and gives a design idea to obtain transmit diversity in the differential transmission model. The literature gives a DSM algorithm in the case of dual antennas. Through codeword design, the algorithm obtains second-order transmit diversity without channel estimation, but its codeword parameters are many, and it is only suitable for transmitting antennas. A system with a number of 2. The literature proposes a differential spatial modulation (Dispersion Matrices based DSM, DM-DSM) scheme based on scattering matrix, which achieves transmit diversity at the expense of spectral efficiency. It cannot achieve linear decoding, so it has high decoding complexity. In the literature, a differential spatial modulation (Field Extension for DSM, FE-DSM) scheme based on algebraic domain extension that can obtain full diversity is also proposed. This scheme adopts an algebraic field extension method on the basis of DM-DSM. To construct a differential space-time code block to obtain full diversity, but its spectral efficiency is low due to the reduction of the number of codewords. The literature proposes a differential spatial transmission scheme STBC-DSM based on the Alamouti STBC structure. The codeword design of this scheme is relatively simple, it can obtain second-order transmit diversity, and supports low-complexity decoding, but its spectral efficiency is low.
【发明内容】[Content of the invention]
本发明的目的在于克服上述现有技术的缺点,提供一种基于天线分组的差分空间调制方法、设备及存储介质,根据两个特定的天线激活矩阵,分别将STBC矩阵中的对应符号激活,形成TA-DSM发送信号进行发射。仿真结果表明:在不同的系统配置下,TA-DSM较现有的其他方案具有更好的误码性能。The object of the present invention is to overcome the shortcomings of the above-mentioned prior art, and to provide a differential spatial modulation method, device and storage medium based on antenna grouping. According to two specific antenna activation matrices, the corresponding symbols in the STBC matrix are activated respectively to form The TA-DSM sends the signal to transmit. The simulation results show that TA-DSM has better bit error performance than other existing schemes under different system configurations.
为达到上述目的,本发明采用以下技术方案予以实现:To achieve the above object, the present invention adopts the following technical solutions to realize:
一种基于天线分组的差分空间调制方法,包括以下步骤:A method for differential spatial modulation based on antenna grouping, comprising the following steps:
步骤1:将B=B1+B2个比特输入至发射机,其中:Step 1: Input B=B 1 +B 2 bits to the transmitter, where:
其中,符号表示对x向下取整数,且取为2的p次幂,Mi表示第i个调制符号的阶数;对B个比特进行串并转换,其中B1个比特用于从空间星座SC中进行两次选择,分别选取天线激活矩阵Aup和Adown;B2个比特用于选取nT个Mi-PSK调制符号si;Among them, the symbol Indicates that x is rounded down to the p-th power of 2, and M i represents the order of the ith modulation symbol; serial-to-parallel conversion is performed on B bits, of which B 1 bits are used to extract from the space constellation SC Carry out two selections, and select the antenna activation matrices A up and A down respectively; B 2 bits are used to select n T M i -PSK modulation symbols s i ;
步骤2:根据调制符号si生成个Alamouti矩阵:Step 2: Generate according to modulation symbol si Alamouti matrices:
再经过矩阵组合生成分别对应两组天线的符号矩阵:Then through matrix combination, symbol matrices corresponding to the two groups of antennas are generated:
步骤3:生成传输码字矩阵Ck:Step 3: Generate the transmission codeword matrix C k :
Cup=AupXup (5)C up = A up X up (5)
Cdown=AdownXdown (6)C down =A down X down (6)
本发明进一步的改进在于:The further improvement of the present invention is:
步骤1中,天线激活状态由矩阵Aup和Adown确定,具体方法如下:In
将空间星座SC定义为所有可能的激活天线矩阵的组合:The spatial constellation SC is defined as the combination of all possible active antenna matrices:
其中,为空间星座SC的尺寸,Aq为维的天线激活矩阵。in, is the size of the space constellation SC, and A q is dimensional antenna activation matrix.
天线激活矩阵Aq的构成包括以下步骤:The composition of the antenna activation matrix A q includes the following steps:
步骤1-1:构造一个维的矩阵矩阵中的元素仅包含0和1,且每行和每列仅包含一个非零元素;Step 1-1: Construct a dimensional matrix matrix The elements in contain only 0s and 1s, and each row and column contains only one non-zero element;
步骤2-2:对进行角度旋转,旋转角度由下式确定:Step 2-2: Right Perform angular rotation, the rotation angle is determined by the following formula:
其中, in,
一种终端设备,包括存储器、处理器以及存储在所述存储器中并可在所述处理器上运行的计算机程序,所述处理器执行所述计算机程序时实现上述方法的步骤。A terminal device includes a memory, a processor, and a computer program stored in the memory and executable on the processor, and the processor implements the steps of the above method when the processor executes the computer program.
一种计算机可读存储介质,所述计算机可读存储介质存储有计算机程序,所述计算机程序被处理器执行时实现上述方法的步骤。A computer-readable storage medium storing a computer program, the computer program implementing the steps of the above method when executed by a processor.
与现有技术相比,本发明具有以下有益效果:Compared with the prior art, the present invention has the following beneficial effects:
由于采用基于天线分组的特殊结构,使得本发明中的TA-DSM方案具有如下的一些优点:1、适合于任意偶数根发射天线;2、在发射天线数相同的情况下,所提出的TA-DSM方案由于比STBC-DSM方案具有更多的天线激活矩阵数,因而可以获得更高的频谱效率;3、TA-DSM方案在无需做任何参数或者矩阵优化的情况下具有永不消失的行列式(NVD)特性,该特性可以保证TA-DSM方案获得二阶发射分集;4、TA-DSM方案在编码结构上具有正交结构,因而可以采用低复杂度的译码算法,具有很低的译码复杂度。本发明的技术效果可从频谱利用率、误码性能、发射分集阶数以及发射天线数四个方面与现有的其他差分空间调制方案进行比较。Due to the special structure based on antenna grouping, the TA-DSM scheme in the present invention has the following advantages: 1. It is suitable for any even number of transmitting antennas; Because the DSM scheme has more antenna activation matrices than the STBC-DSM scheme, it can achieve higher spectral efficiency; 3. The TA-DSM scheme has a determinant that never disappears without any parameter or matrix optimization. (NVD) feature, which can ensure that the TA-DSM scheme can obtain second-order transmit diversity; 4. The TA-DSM scheme has an orthogonal structure in the coding structure, so a low-complexity decoding algorithm can be used, with very low decoding code complexity. The technical effect of the present invention can be compared with other existing differential spatial modulation schemes from four aspects: spectrum utilization rate, bit error performance, transmit diversity order and transmit antenna number.
1)频谱利用率1) Spectrum Utilization
若TA-DSM中配置发射天线数为nT,第i个符号的调制阶数为Mi,则其频谱效率为If the number of transmit antennas configured in TA-DSM is n T , and the modulation order of the ith symbol is M i , its spectral efficiency is
上述频谱效率要高于现有的其它可以获得发射分集的差分空间调制方案。The above-mentioned spectral efficiency is higher than other existing differential spatial modulation schemes that can achieve transmit diversity.
2)误码性能2) Error performance
利用该算法对系统性能的提升效果请见专利说明书中的附图3~图5。后文将结合附图对本发明的内容作进一步详细说明。Please refer to Figures 3 to 5 in the patent specification for the effect of improving the system performance by using the algorithm. The content of the present invention will be further described in detail below with reference to the accompanying drawings.
3)满足NVD特征3) Meet NVD characteristics
经过分析可得TA-DSM方案的编码增益(即任意两个TA-DSM码字之间的误差矩阵的行列式的最小值)为2,因此所提出的TA-DSM方案具有永不消失的行列式(NVD)特性,从而可以保证获得二阶的发射分集。After analysis, the coding gain of the TA-DSM scheme (that is, the minimum value of the determinant of the error matrix between any two TA-DSM codewords) is 2, so the proposed TA-DSM scheme has a rank and column that never disappears formula (NVD) characteristic, so that the second-order transmit diversity can be guaranteed.
4)支持灵活的天线数配置4) Support flexible antenna number configuration
TA-DSM系统支持任意偶数根发射天线数nT。The TA-DSM system supports any even number of transmit antennas n T .
【附图说明】【Description of drawings】
图1为本发明TA-DSM发射机的结构框图;Fig. 1 is the structural block diagram of the TA-DSM transmitter of the present invention;
图2为低复杂度译码算法与ML译码算法性能对比图;Figure 2 is a performance comparison diagram of a low-complexity decoding algorithm and an ML decoding algorithm;
图3为TA-DSM、STBC-DSM和DSM方案在2.25bits/s/Hz的频谱效率下BER比较;Figure 3 shows the BER comparison of TA-DSM, STBC-DSM and DSM schemes at a spectral efficiency of 2.25bits/s/Hz;
图4为TA-DSM和STBC-DSM方案在1.33bits/s/Hz的频谱效率下BER比较图;Figure 4 is a BER comparison diagram of the TA-DSM and STBC-DSM schemes at a spectral efficiency of 1.33bits/s/Hz;
图5为TA-DSM和STBC-DSM方案在1.25bits/s/Hz的频谱效率下BER比较图。Fig. 5 is the BER comparison diagram under the spectral efficiency of 1.25bits/s/Hz of TA-DSM and STBC-DSM scheme.
【具体实施方式】【Detailed ways】
为了使本技术领域的人员更好地理解本发明方案,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的实施例,不是全部的实施例,而并非要限制本发明公开的范围。此外,在以下说明中,省略了对公知结构和技术的描述,以避免不必要的混淆本发明公开的概念。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,都应当属于本发明保护的范围。In order to make those skilled in the art better understand the solutions of the present invention, the technical solutions in the embodiments of the present invention will be clearly and completely described below with reference to the accompanying drawings in the embodiments of the present invention. Obviously, the described embodiments are only The embodiments are part of the present invention, not all of the embodiments, and are not intended to limit the scope of the present disclosure. Furthermore, in the following description, descriptions of well-known structures and techniques are omitted to avoid unnecessarily obscuring the concepts disclosed in the present invention. Based on the embodiments of the present invention, all other embodiments obtained by persons of ordinary skill in the art without creative efforts shall fall within the protection scope of the present invention.
在附图中示出了根据本发明公开实施例的各种结构示意图。这些图并非是按比例绘制的,其中为了清楚表达的目的,放大了某些细节,并且可能省略了某些细节。图中所示出的各种区域、层的形状及它们之间的相对大小、位置关系仅是示例性的,实际中可能由于制造公差或技术限制而有所偏差,并且本领域技术人员根据实际所需可以另外设计具有不同形状、大小、相对位置的区域/层。Various structural schematic diagrams according to the disclosed embodiments of the present invention are shown in the accompanying drawings. The figures are not to scale, some details have been exaggerated for clarity, and some details may have been omitted. The shapes of various regions and layers shown in the figures and their relative sizes and positional relationships are only exemplary, and in practice, there may be deviations due to manufacturing tolerances or technical limitations, and those skilled in the art should Regions/layers with different shapes, sizes, relative positions can be additionally designed as desired.
本发明公开的上下文中,当将一层/元件称作位于另一层/元件“上”时,该层/元件可以直接位于该另一层/元件上,或者它们之间可以存在居中层/元件。另外,如果在一种朝向中一层/元件位于另一层/元件“上”,那么当调转朝向时,该层/元件可以位于该另一层/元件“下”。In the context of the present disclosure, when a layer/element is referred to as being "on" another layer/element, it can be directly on the other layer/element or intervening layers/elements may be present therebetween. element. In addition, if a layer/element is "on" another layer/element in one orientation, then when the orientation is reversed, the layer/element can be "under" the other layer/element.
需要说明的是,本发明的说明书和权利要求书及上述附图中的术语“第一”、“第二”等是用于区别类似的对象,而不必用于描述特定的顺序或先后次序。应该理解这样使用的数据在适当情况下可以互换,以便这里描述的本发明的实施例能够以除了在这里图示或描述的那些以外的顺序实施。此外,术语“包括”和“具有”以及他们的任何变形,意图在于覆盖不排他的包含,例如,包含了一系列步骤或单元的过程、方法、系统、产品或设备不必限于清楚地列出的那些步骤或单元,而是可包括没有清楚地列出的或对于这些过程、方法、产品或设备固有的其它步骤或单元。It should be noted that the terms "first", "second" and the like in the description and claims of the present invention and the above drawings are used to distinguish similar objects, and are not necessarily used to describe a specific sequence or sequence. It is to be understood that the data so used may be interchanged under appropriate circumstances such that the embodiments of the invention described herein can be practiced in sequences other than those illustrated or described herein. Furthermore, the terms "comprising" and "having" and any variations thereof, are intended to cover non-exclusive inclusion, for example, a process, method, system, product or device comprising a series of steps or units is not necessarily limited to those expressly listed Rather, those steps or units may include other steps or units not expressly listed or inherent to these processes, methods, products or devices.
下面结合附图对本发明做进一步详细描述:Below in conjunction with accompanying drawing, the present invention is described in further detail:
本发明提出了一种可获得发射分集的差分空间调制传输方案,基于发射天线分组的思路设计了一种差分空间调制方法,被命名为TA-DSM(Twofold Antennas basedDifferential Spatial Modulation)方案。The invention proposes a differential spatial modulation transmission scheme that can obtain transmit diversity, and designs a differential spatial modulation method based on the idea of transmitting antenna grouping, which is named as a TA-DSM (Twofold Antennas based Differential Spatial Modulation) scheme.
本发明基于天线分组的差分空间调制(Twofold Antennas based DifferentialSpatial Modulation,TA-DSM)方法中,输入的信息比特被分为两个部分:第一部分用于从天线激活矩阵集合中进行两次选择,第二部分用于从M-PSK星座中选择符号,通过进一步组合从相应的激活天线上发送出去。具体的实施步骤如图1中所示。本发明对系统性能的提升效果请见附图3~图5。In the method of differential spatial modulation (Twofold Antennas based Differential Spatial Modulation, TA-DSM) based on the antenna grouping of the present invention, the input information bits are divided into two parts: the first part is used to select twice from the antenna activation matrix set; The second part is used to select symbols from the M-PSK constellation, which are further combined to be sent from the corresponding active antennas. The specific implementation steps are shown in FIG. 1 . Please refer to Fig. 3 to Fig. 5 for the improvement effect of the present invention on system performance.
参见图1,本发明基于天线分组的差分空间调制方法,包括以下步骤:Referring to FIG. 1 , the differential spatial modulation method based on antenna grouping of the present invention includes the following steps:
步骤一:TA-DSM调制方法Step 1: TA-DSM modulation method
在一个具有nT根发射天线的MIMO系统中,将nT根发射天线划分为上下两组,每组均包含nT/2根天线,在每个发射周期内,两个分组中的天线激活状态分别由矩阵Aup和Adown确定。In a MIMO system with nT transmit antennas, the nT transmit antennas are divided into upper and lower two groups, each group contains nT /2 antennas, and in each transmit period, the antennas in the two groups are activated The states are determined by the matrices A up and A down , respectively.
首先将空间星座(Spatial Constellation,SC)定义为所有可能的激活天线矩阵的组合:First, the Spatial Constellation (SC) is defined as the combination of all possible active antenna matrices:
其中,为SC的尺寸,Aq为维的天线激活矩阵。in, is the dimension of SC, and A q is dimensional antenna activation matrix.
Aq的构成过程分为两步:The composition process of Aq is divided into two steps:
步骤1:构造一个维矩阵中的元素仅包含0和1,且每行和每列仅包含一个非零元素;Step 1: Construct a dimensional matrix The elements in contain only 0s and 1s, and each row and column contains only one non-zero element;
步骤2:对进行相应的角度旋转,旋转角度由下式确定:Step 2: Right The corresponding angle rotation is performed, and the rotation angle is determined by the following formula:
其中 in
以nT=6的MIMO系统为例,此时天线选择矩阵集合中共包含6个元素,分别为:Taking the MIMO system with n T =6 as an example, at this time The antenna selection matrix set contains a total of 6 elements, which are:
具体的TA-DSM调制算法由以下三个步骤构成:The specific TA-DSM modulation algorithm consists of the following three steps:
第一步:总共B=B1+B2个比特进入发射机,其中:Step 1: A total of B=B 1 +B 2 bits enter the transmitter, where:
符号表示对x向下取整数,且取为2的p次幂,Mi表示第i个调制符号的阶数。首先对B个比特进行串并转换,其中B1个比特用于从SC中进行两次选择,分别选取天线激活矩阵Aup和Adown;B2个比特用于选取nT个Mi-PSK调制符号si;symbol Indicates that x is rounded down to an integer and is taken to the p-th power of 2, and M i represents the order of the i-th modulation symbol. First perform serial-to-parallel conversion on B bits, of which B 1 bits are used to convert from SC Carry out two selections, and select the antenna activation matrices A up and A down respectively; B 2 bits are used to select n T M i -PSK modulation symbols s i ;
第二步:根据第一步中选择的调制符号si生成个Alamouti矩阵:The second step: generate according to the modulation symbol si selected in the first step Alamouti matrix:
再经过矩阵组合生成分别对应两组天线的符号矩阵:Then through matrix combination, symbol matrices corresponding to the two groups of antennas are generated:
第三步:生成最终的传输码字矩阵Ck:Step 3: Generate the final transmission codeword matrix C k :
Cup=AupXup (7)C up = A up X up (7)
Cdown=AdownXdown (8)C down =A down X down (8)
对于上述步骤给出当系统参数为Nt=6,M=2时,TA-DSM的传输矩阵C的生成过程举例。For the above steps, an example of the generation process of the transmission matrix C of the TA-DSM is given when the system parameters are N t =6 and M=2.
由于Nt=6,天线激活矩阵集合式(2)中所示,共包含6个元素;由于M=2,BPSK星座集合为Υ={1,-1}。Since N t =6, the antenna activation matrix set as shown in formula (2) contains 6 elements in total; since M=2, the BPSK constellation set is Y={1,-1}.
在发射端,一个11比特的串行数据[0 0 1 0 0 0 1 1 0 0 1]进入系统,依据式(3)和(4)可知,B1=5,B2=6。根据图1所示编码过程,前5个数据比特[0 0 1 0 0]用来选择两组天线激活矩阵分别为:At the transmitting end, an 11-bit serial data [0 0 1 0 0 0 1 1 0 0 1] enters the system. According to equations (3) and (4), B 1 =5 and B 2 =6. According to the encoding process shown in Figure 1, the first 5 data bits [0 0 1 0 0] are used to select two groups of antenna activation matrices:
后6个数据比特[0 1 1 0 0 1]用来选择四个BPSK调制符号分别为:s1=1,s2=-1,s3=-1,s4=1,s5=1,s6=-1,依据式(5),相应的三个Alamouti矩阵分别为:The last 6 data bits [0 1 1 0 0 1] are used to select four BPSK modulation symbols: s 1 =1, s 2 =-1, s 3 =-1, s 4 =1, s 5 =1 , s 6 =-1, according to formula (5), the corresponding three Alamouti matrices are:
依据式(6)可知分组后调制符号矩阵组合Xup和Xdown分别为:According to formula (6), it can be known that the modulation symbol matrix combinations X up and X down after grouping are:
依据式(7)-(9)可得最终的发射码字矩阵C为According to equations (7)-(9), the final transmitted codeword matrix C can be obtained as
步骤二:TA-DSM方案的主要优势Step 2: The main advantages of the TA-DSM solution
1)获得高频谱效率1) Obtain high spectral efficiency
根据上述设计方法,在TA-DSM方案中,空间维度可以携带的信息为比特,而nT个调制符号携带的信息为比特,因而TA-DSM方案的频谱效率为According to the above design method, in the TA-DSM scheme, the information that the spatial dimension can carry is: bits, and the information carried by n T modulation symbols is bits, so the spectral efficiency of the TA-DSM scheme is
上述频谱效率高于现有的可以获得分集的差分空间调制方案。The above-mentioned spectral efficiency is higher than the existing differential spatial modulation schemes that can achieve diversity.
2)支持灵活的天线数配置2) Support flexible antenna number configuration
由以上的设计方法可知,TA-DSM系统支持任意偶数根发射天线数nT。It can be known from the above design method that the TA-DSM system supports any even number of transmitting antennas n T .
3)满足NVD特征3) Meet NVD characteristics
经过分析可得TA-DSM方案的编码增益(即任意两个TA-DSM码字之间的误差矩阵的行列式的最小值)为2,因此所提出的TA-DSM方案具有永不消失的行列式(NVD)特性,从而可以保证获得二阶的发射分集。After analysis, the coding gain of the TA-DSM scheme (that is, the minimum value of the determinant of the error matrix between any two TA-DSM codewords) is 2, so the proposed TA-DSM scheme has a rank and column that never disappears formula (NVD) characteristic, so that the second-order transmit diversity can be guaranteed.
4)具有酉矩阵结构4) Has a unitary matrix structure
所提出的TA-DSM方案中传输码字矩阵C为酉矩阵,从而满足差分传输机制的约束条件。In the proposed TA-DSM scheme, the transmission codeword matrix C is a unitary matrix, so as to satisfy the constraints of the differential transmission mechanism.
步骤三:TA-DSM的传输矩阵酉矩阵性质Step 3: The unitary matrix properties of the transmission matrix of TA-DSM
在TA-DSM系统模型中,设置初始发射矩阵为了使得差分传输能够持续,必须保证传输矩阵Ck为酉矩阵,从而确保发射矩阵Sk中每时隙的发射功率守恒,否则系统发射功率将会趋于无限大或零,这在实际应用系统中是无法实现的。In the TA-DSM system model, set the initial transmit matrix In order to make the differential transmission sustainable, it is necessary to ensure that the transmission matrix C k is a unitary matrix, so as to ensure that the transmission power of each time slot in the transmission matrix S k is conserved, otherwise the system transmission power will tend to be infinite or zero. cannot be achieved in.
为了便于描述,将携带调制信息的传输矩阵Ck记为C(X,l,k),其中X=[X1,…,XP]表示C中的P个Alamouti调制符号矩阵;参数l=[l1,l2,……,lP,θu],其中lp,(1≤p≤P)表示上半组天线中发射Xp-up所用的天线索引,θu表示天线选择矩阵Aup的旋转角度;参数k=[k1,k2,……,kP,θd],其中kp,(1≤p≤P)表示下半组天线中发射Xp-down所用的天线索引,θd表示天线选择矩阵Adown的旋转角度。For the convenience of description, the transmission matrix C k carrying the modulation information is denoted as C(X,l,k), where X=[X 1 ,...,X P ] represents P Alamouti modulation symbol matrices in C; parameter l= [l 1 ,l 2 ,...,l P ,θ u ], where l p , (1≤p≤P) denotes the antenna index used to transmit X p-up in the upper half of the antenna group, and θ u denotes the antenna selection matrix Rotation angle of A up ; parameter k=[k 1 , k 2 ,...,k P , θ d ], where k p , (1≤p≤P) represent the lower half antenna used to transmit X p-down Antenna index, θ d represents the rotation angle of the antenna selection matrix A down .
由式(7)-(9)可知Xp-up将通过上半组天线中第lp根天线在第2p-1,2p两个连续时隙进行发射;Xp-down将通过下半组天线中第kp根天线在第2p-1,2p两个连续时隙进行发射。通过码字构造过程,可以总结出Nt×Nt维传输矩阵C具有如下性质:From equations (7)-(9), it can be known that X p-up will transmit in two consecutive time slots 2p-1 and 2p through the 1 pth antenna in the upper half of the antenna group; X p-down will be transmitted through the lower half of the group of antennas. Among the antennas, the k pth antenna transmits in two consecutive time slots 2p-1 and 2p. Through the codeword construction process, it can be concluded that the N t ×N t -dimensional transmission matrix C has the following properties:
1)任意一列中仅存在两个非零元素,且对于第2p-1列和第2p列,两个非零元素分别位于第lp行和第kp行;1) There are only two non-zero elements in any column, and for the 2p-1 column and the 2p column, the two non-zero elements are located in the lpth row and the kth row, respectively;
2)任意一行中仅存在两个非零元素,且对于第lp行和第kp行,两个非零元素位于第2p-1列和第2p列;2) There are only two non-zero elements in any row, and for the lpth row and the kth row, the two nonzero elements are located in the 2p -1th column and the 2pth column;
3)由第lp,kp行和第2p-1,2p列组成的2×2维子矩阵具有如下形式:3) The 2 × 2-dimensional submatrix consisting of the l p , k p rows and the 2p-1, 2p columns has the following form:
接下来将给出对C的酉矩阵性质证明。对于任意的码字矩阵C(X,l,k),取相邻的两列C(2p-1)和C(2p),由性质1)和2)可知:Next, the proof of the unitary matrix property of C will be given. For any codeword matrix C(X,l,k), take the adjacent two columns C(2p-1) and C(2p), From properties 1) and 2), it can be known that:
<C(2p-1),C(i)>=0 (11)<C(2p-1),C(i)>=0 (11)
<C(2p),C(i)>=0 (12)<C(2p),C(i)>=0 (12)
由性质3)可知:From property 3), it can be known that:
<C(2p-1),C(2p)>=0<C(2p-1),C(2p)>=0
<C(2p-1),C(2p-1)>=1 (13)<C(2p-1),C(2p-1)>=1 (13)
<C(2p),C(2p)>=1<C(2p),C(2p)>=1
由式(11)-(13)可知传输矩阵C为酉矩阵。It can be known from equations (11)-(13) that the transmission matrix C is a unitary matrix.
步骤四:TA-DSM的分集Step 4: Diversity of TA-DSM
考虑两个不同的码字C(X,l,k)和二者之间的误差矩阵为Consider two different codewords C(X,l,k) and The error matrix between the two is
下面分情况对Δ的秩r(Δ)进行说明。The rank r(Δ) of Δ will be described in the following case by case.
情况1:且 Case 1: and
此时二者的天线选择矩阵完全相同。在此情况下,由于二者之间至少存在一组Alamouti矩阵不相等,假设则Δ的前两列可表示为:At this time, the antenna selection matrices of the two are exactly the same. In this case, due to There is at least one set of Alamouti matrices that are not equal between the two, assuming that Then the first two columns of Δ can be expressed as:
由于则或必然有:because but or There must be:
即Δ至少存在一个不为0的二阶子式,因此r(Δ)≥2。That is, there is at least one second-order subformula of Δ that is not 0, so r(Δ)≥2.
情况2:且(或且)Case 2: and (or and )
此时由性质1)可知Δ中至少存在四列(两组相邻的两列)激活天线不完全相同,假设前四列不同,结合性质2),Δ中由第l1,l2,k1,k2行及前四列组成的4×4维子矩阵可表示为:At this time, according to property 1), it can be known that there are at least four columns in Δ (two adjacent columns of two groups) that the activated antennas are not exactly the same. Assuming that the first four columns are different, combined with property 2), the first four columns in Δ are composed of l 1 , l 2 , k The 4×4-dimensional submatrix composed of 1 ,k 2 rows and the first four columns can be expressed as:
式(16)中[f1,f2]=[0,0]或[g1,g2]=[0,0]或 In formula (16) [f 1 , f 2 ]=[0,0] or [g 1 ,g 2 ]=[0,0] or
情况2.1:(或)Case 2.1: (or )
当时,若则由Δ4×4的第1,4行和第1,3列组成的二阶子式when when, if Then the second-order subformula consisting of
若则由Δ4×4的第1,4行和第2,3列组成的二阶子式like Then the second-order subformula consisting of
即Δ中至少存在一个不为0的二阶子式,因此r(Δ)≥2。That is, there is at least one second-order subformula that is not 0 in Δ, so r(Δ)≥2.
情况2.2:且 Case 2.2: and
在此情况下,式(16)为可化简为In this case, equation (16) can be simplified to
情况2.2.1:[f1,f2]=[0,0]或[g1,g2]=[0,0]Case 2.2.1: [f 1 ,f 2 ]=[0,0] or [g 1 ,g 2 ]=[0,0]
此时式(17)中第3、4行和第2、3列组成的二阶子式At this time, the second-order sub-formula composed of
即Δ中至少存在一个不为0的二阶子式,因此r(Δ)≥2。That is, there is at least one second-order subformula that is not 0 in Δ, so r(Δ)≥2.
情况2.2.2:且 Case 2.2.2: and
此时式(17)中第3,4行和第2,3列组成的二阶子式为At this time, the second-order sub-formula composed of
由式(1)中θ取值可知且因此式(18)右侧的表达式不为0。即Δ中至少存在一个不为0的二阶子式,因此r(Δ)≥2。It can be known from the value of θ in formula (1) that and Therefore, the expression on the right side of Equation (18) is not 0. That is, there is at least one second-order subformula that is not 0 in Δ, so r(Δ)≥2.
情况3:且 Case 3: and
证明过程同情况2。The proof process is the same as
综合以上情况,对任意两个不同传输矩阵C(X,l,k)和所提出的TA-DSM方案均具有永不消失的行列式(NVD)特性,这样则保证本发明可以获得二阶的发射分集。由此可见,TA-DSM方案无需做任何参数及矩阵优化就可以获得二阶发射分集。Based on the above situation, for any two different transmission matrices C(X,l,k) and The proposed TA-DSM schemes all have the non-disappearing determinant (NVD) characteristic, which ensures that the present invention can obtain second-order transmit diversity. It can be seen that the TA-DSM scheme can obtain second-order transmit diversity without any parameter and matrix optimization.
步骤五:TA-DSM的信号检测Step 5: Signal detection of TA-DSM
在一个nT×nR的MIMO系统中,假定信道为准静态Rayleigh衰落,在第k个发射周期内,当发射nT×nT维的TA-DSM信号时,nR×nT维的接收信号可以表示为In an n T ×n R MIMO system, assuming that the channel is quasi-static Rayleigh fading, in the kth transmission cycle, when the n T ×n T -dimensional TA-DSM signal is transmitted, the n R ×n T -dimensional TA-DSM signal is transmitted. The received signal can be expressed as
Yk=HSk+Nk (19)Y k =HS k +N k (19)
而在差分传输机制中While in the differential transmission mechanism
Sk=Sk-1Ck S k =S k-1 C k
Yk-1=HSk-1+Nk-1 Y k-1 =HS k-1 +N k-1
Yk=HSk+Nk Y k =HS k +N k
可以得到:You can get:
Yk=Yk-1Ck+(Nk-Nk-1Ck) (20)Y k =Y k-1 C k +(N k -N k-1 C k ) (20)
因此待检测传输矩阵的最大似然译码表达式为:Therefore, the maximum likelihood decoding expression of the transmission matrix to be detected is:
步骤六:TA-DSM的低复杂度译码算法Step 6: Low-complexity decoding algorithm of TA-DSM
在解码过程中,首先对所有天线激活矩阵情况进行遍历。在天线激活矩阵确定的情况下,可以确定码字Ck的后两项参数l=[l1,l2,……,lP,θu]和k=[k1,k2,……,kP,θd]。将式(21)中的Yk-Yk-1Ck记为W,则W中相邻的第2p-1列和第2p列可表示为In the decoding process, all antenna activation matrix conditions are first traversed. When the antenna activation matrix is determined, the last two parameters of the codeword C k can be determined: l=[l 1 ,l 2 ,...,l P ,θ u ] and k=[k 1 ,k 2 ,... , k P , θ d ]. Denote Y k -Y k-1 C k in formula (21) as W, then the adjacent columns 2p-1 and 2p in W can be expressed as
依据传输矩阵Ck的性质,可知调制符号s2p-1和s2p仅对W(2p-1)和W(2p)这两列产生影响,而这两列也与其余调制信号无关,因此可以依据式(22)将调制符号两两依次解耦,避免了所有调制符号的联合解调,从而降低译码复杂度。According to the properties of the transmission matrix C k , it can be known that the modulation symbols s 2p-1 and s 2p only affect the two columns W(2p-1) and W(2p), and these two columns are also independent of the other modulation signals, so it can be According to formula (22), the modulation symbols are decoupled in turn, avoiding the joint demodulation of all modulation symbols, thereby reducing the decoding complexity.
综上所述,当参数(l,k)确定的情况下,第p个Alamouti矩阵中调制符号的检测表达式为To sum up, when the parameters (l, k) are determined, the detection expression of the modulation symbol in the pth Alamouti matrix is:
将式(23)所对应的P个最小范数值分别记为ap|(l,k),再通过对比相应的最小范数和,可以获得l和k的最优解,因此Ck的译码表达式为Denote the P minimum norm values corresponding to formula (23) as a p |(l, k) respectively, and then by comparing the corresponding minimum norm sums, the optimal solutions of l and k can be obtained. Therefore, the translation of C k The code expression is
需要指出的是本发明所提的低复杂度译码算法是利用了码字的正交结构特性,对调制符号进行两两独立解耦所实现的,其并没有降低误码率性能,由图2可见,本发明所提低复杂度译码算法与ML译码算法的误码率性能是一致的。It should be pointed out that the low-complexity decoding algorithm proposed by the present invention utilizes the orthogonal structural characteristics of the codeword to independently decouple the modulation symbols, which does not reduce the bit error rate performance. 2 It can be seen that the decoding algorithm with reduced complexity of the present invention has the same bit error rate performance as that of the ML decoding algorithm.
以解码每比特信息所需要的实数乘次数来衡量译码复杂度。表1给出了当nR=2,M=4时,在配置不同发射天线数nT的情况下,本发明所提低复杂度解码算法与ML解码算法的复杂度对比。通过表1可以看出相比ML解码算法,本发明所提的译码算法极大地降低了译码运算量。Decoding complexity is measured by the number of real multipliers required to decode each bit of information. Table 1 shows the complexity comparison between the decoding algorithm with reduced complexity of the present invention and the ML decoding algorithm when n R =2, M = 4, and in the case of configuring different numbers of transmit antennas n T. It can be seen from Table 1 that compared with the ML decoding algorithm, the decoding algorithm proposed by the present invention greatly reduces the amount of decoding operations.
表1不同发射天线数下解码复杂度对比Table 1 Comparison of decoding complexity under different numbers of transmit antennas
步骤七:仿真实验Step 7: Simulation Experiment
本节对所提出的TA-DSM算法的误码性能进行蒙特卡洛仿真并与现有的STBC-DSM方案进行比较。在所有的仿真图中横轴表示每个接收天线处的信噪比(SNR),纵轴为误比特率(BER),且所有仿真中接收天线的个数均设为nR=2,性能比较均是在SNR值为10-5时所做的。In this section, Monte Carlo simulations of the bit error performance of the proposed TA-DSM algorithm are performed and compared with existing STBC-DSM schemes. In all simulation graphs, the horizontal axis represents the signal-to-noise ratio (SNR) at each receiving antenna, the vertical axis is the bit error rate (BER), and the number of receiving antennas in all simulations is set to n R = 2, the performance Comparisons were made at an SNR value of 10-5 .
图2中给出了当发射天线数nT=6,调制阶数M1=M2=M3=2,M4=M5=M6=1时,TA-DSM方案分别采用本发明所提的低复杂度译码算法和采用ML译码时的BER曲线对比。可以看出二者取得了一致的解码性能,这是由于在本发明所提的低复杂度译码算法中,只是利用码字设计所带来的正交特性对调制符号进行两两独立解耦检测,从而降低译码复杂度,这一过程并不会影响检测性能。Fig. 2 shows that when the number of transmit antennas n T =6, the modulation order M 1 =M 2 =M 3 =2, M 4 =M 5 =M 6 =1, the TA-DSM scheme adopts the method of the present invention respectively. The proposed low-complexity decoding algorithm is compared with the BER curve when using ML decoding. It can be seen that the two have achieved consistent decoding performance, because in the low-complexity decoding algorithm proposed in the present invention, only the orthogonal characteristics brought by the codeword design are used to independently decouple the modulation symbols in pairs. detection, thereby reducing the decoding complexity, this process does not affect the detection performance.
图3给出了TA-DSM方案、STBC-DSM方案和DSM方案在配置发射天线数nT=4,系统频谱效率为2.25bits/s/Hz时的BER比较。从图3可见,由于获取了发射分集,随着信噪比的增加,TA-DSM算法性能提升速度要快于没有发射分集的DSM算法;TA-DSM与STBC-DSM二者性能相仿,这是由于当nT=4时,发射天线数量较小,TA-DSM算法中天线激活矩阵的组合数量提升不够明显,因此为了达到相同的频谱效率,TA-DSM在调制阶数上与STBC-DSM相近,误比特率性能改善不大。Figure 3 shows the BER comparison of the TA-DSM scheme, the STBC-DSM scheme and the DSM scheme when the number of transmit antennas is configured n T =4 and the system spectral efficiency is 2.25 bits/s/Hz. As can be seen from Figure 3, due to the acquisition of transmit diversity, with the increase of signal-to-noise ratio, the performance of TA-DSM algorithm is improved faster than that of DSM algorithm without transmit diversity; TA-DSM and STBC-DSM have similar performance, which is When n T = 4, the number of transmitting antennas is small, and the number of combinations of antenna activation matrices in the TA-DSM algorithm is not significantly improved. Therefore, in order to achieve the same spectral efficiency, TA-DSM is similar to STBC-DSM in modulation order. , the bit error rate performance is not much improved.
在图4和图5中,分别比较了所提出的TA-DSM方案和现有的STBC-DSM方案在两种不同频谱效率下的BER曲线比较。由图中可见,TA-DSM的性能明显优于STBC-DSM,这是由于当nT较大时,TA-DSM方案的空间维度携带了更多的调制信息,采用较低的调制阶数就可以达到与STBC-DSM相同的频谱效率,因此获取了更好的误比特率性能。由图4中可见,当nT=6,系统频谱效率为1.33bits/s/Hz时,TA-DSM比STBC-DSM的性能好4dB左右;由图5中可见,当nT=8,频谱效率为1.25bits/s/Hz时,TA-DSM比STBC-DSM的性能好2dB左右。In Figures 4 and 5, the BER curves of the proposed TA-DSM scheme and the existing STBC-DSM scheme under two different spectral efficiencies are compared, respectively. It can be seen from the figure that the performance of TA-DSM is significantly better than that of STBC-DSM, because when n T is large, the spatial dimension of the TA-DSM scheme carries more modulation information, and a lower modulation order can be used. The same spectral efficiency as STBC-DSM can be achieved, thus achieving better bit error rate performance. It can be seen from Figure 4 that when n T =6 and the system spectral efficiency is 1.33bits/s/Hz, the performance of TA-DSM is about 4dB better than that of STBC-DSM; it can be seen from Figure 5 that when n T =8, the spectrum When the efficiency is 1.25bits/s/Hz, the performance of TA-DSM is about 2dB better than that of STBC-DSM.
由图3~图5的仿真实验可以看出,TA-DSM方案较现有的STBC-DSM方案和DSM方案具有明显的性能优势。需要指出的是在文献[6]的仿真结果中,可以看到STBC-DSM方案相比现有的FE-DSM和PHD-DSM方案具有性能优势,因此本发明所提出的TA-DSM方案较现有的几种可获得发射分集的差分空间调制方案具有性能优势。It can be seen from the simulation experiments in Figures 3 to 5 that the TA-DSM scheme has obvious performance advantages over the existing STBC-DSM scheme and DSM scheme. It should be pointed out that in the simulation results of the literature [6], it can be seen that the STBC-DSM scheme has performance advantages compared with the existing FE-DSM and PHD-DSM schemes, so the TA-DSM scheme proposed by the present invention There are several differential spatial modulation schemes that can achieve transmit diversity with performance advantages.
本发明终端设备集成的模块/单元如果以软件功能单元的形式实现并作为独立的产品销售或使用时,可以存储在一个计算机可读取存储介质中。基于这样的理解,本发明实现上述实施例方法中的全部或部分流程,也可以通过计算机程序来指令相关的硬件来完成,所述的计算机程序可存储于一计算机可读存储介质中,该计算机程序在被处理器执行时,可实现上述各个方法实施例的步骤。其中,所述计算机程序包括计算机程序代码,所述计算机程序代码可以为源代码形式、对象代码形式、可执行文件或某些中间形式等。所述计算机可读介质可以包括:能够携带所述计算机程序代码的任何实体或装置、记录介质、U盘、移动硬盘、磁碟、光盘、计算机存储器、只读存储器(ROM,Read-OnlyMemory)、随机存取存储器(RAM,RandomAccessMemory)、电载波信号、电信信号以及软件分发介质等。需要说明的是,所述计算机可读介质包含的内容可以根据司法管辖区内立法和专利实践的要求进行适当的增减,例如在某些司法管辖区,根据立法和专利实践,计算机可读介质不包括电载波信号和电信信号。If the modules/units integrated in the terminal device of the present invention are implemented in the form of software functional units and sold or used as independent products, they can be stored in a computer-readable storage medium. Based on this understanding, the present invention can implement all or part of the processes in the methods of the above embodiments, and can also be completed by instructing relevant hardware through a computer program. The computer program can be stored in a computer-readable storage medium, and the computer When the program is executed by the processor, the steps of the foregoing method embodiments can be implemented. Wherein, the computer program includes computer program code, and the computer program code may be in the form of source code, object code, executable file or some intermediate form, and the like. The computer-readable medium may include: any entity or device capable of carrying the computer program code, a recording medium, a USB flash drive, a removable hard disk, a magnetic disk, an optical disc, a computer memory, a read-only memory (ROM, Read-Only Memory), Random Access Memory (RAM, Random Access Memory), electric carrier signal, telecommunication signal and software distribution medium, etc. It should be noted that the content contained in the computer-readable media may be appropriately increased or decreased according to the requirements of legislation and patent practice in the jurisdiction, for example, in some jurisdictions, according to legislation and patent practice, the computer-readable media Electric carrier signals and telecommunication signals are not included.
以上内容仅为说明本发明的技术思想,不能以此限定本发明的保护范围,凡是按照本发明提出的技术思想,在技术方案基础上所做的任何改动,均落入本发明权利要求书的保护范围之内。The above content is only to illustrate the technical idea of the present invention, and cannot limit the protection scope of the present invention. Any changes made on the basis of the technical solution according to the technical idea of the present invention shall fall within the scope of the claims of the present invention. within the scope of protection.
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