CN104378319A - Channel estimation method based on short wave channel MIMO-OFDM communication system - Google Patents
Channel estimation method based on short wave channel MIMO-OFDM communication system Download PDFInfo
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Abstract
本发明公开了一种基于短波信道MIMO-OFDM通信系统的信道估计方法,在发送端构造由循环正交码组成的导频序列,并将其间歇的插入发送数据以组成双循环结构的时隙结构,其中,第m根发送天线的导频序列为第0根发送天线的导频序列向右循环移位m×Dmax位,Dmax为信道的最大时延,时隙分为多个子时隙,每个子时隙的保护段是由导频的后LG个符号组成的,而整个时隙的最后LG+Lp个符号组成时隙开头的保护段及导频段;接收端利用接收信号的每个导频段,采用最小二乘法估计出信道冲激响应,再利用时间的相关性,获取数据段时间内信道的冲激响应参数。本发明方法提高了信道参数估计的精确度并降低了实现的复杂度,从而促使系统性能的提升。The invention discloses a channel estimation method based on a short-wave channel MIMO-OFDM communication system. A pilot sequence composed of cyclic orthogonal codes is constructed at the sending end, and is intermittently inserted into sending data to form a time slot of a double-cycle structure. structure, where the pilot sequence of the mth transmitting antenna is the pilot sequence of the 0th transmitting antenna and is cyclically shifted to the right by m×D max bits, where D max is the maximum time delay of the channel, and the time slot is divided into multiple sub-times The guard segment of each sub-slot is composed of the last L G symbols of the pilot, and the last L G + L p symbols of the entire time slot form the guard segment and the pilot segment at the beginning of the slot; For each pilot segment of the signal, the channel impulse response is estimated by the least square method, and then the time correlation is used to obtain the channel impulse response parameters within the data segment. The method of the invention improves the accuracy of channel parameter estimation and reduces the complexity of realization, thereby promoting the improvement of system performance.
Description
技术领域technical field
本发明涉及一种基于短波信道MIMO-OFDM系统的信道估计方法,属于通信系统接收机信道估计领域。The invention relates to a channel estimation method based on a shortwave channel MIMO-OFDM system, which belongs to the field of communication system receiver channel estimation.
背景技术Background technique
短波通信(也称高频通信)是通过电离层反射实现中远距离通信或通过地波进行近距离通信传输,实际使用的频率范围为3MHz-30MHz。它具有设备简单、成本低廉、灵活性高、通信距离远等优点,是无线通信方式中必不可少的一种。短波传输主要依靠电离层反射来进行,由于电离层是分层、不均匀、各向异性、有时空性的介质,因此短波信道存在多径时延、衰落、多普勒频偏、频率扩散等一系列复杂特性。Short-wave communication (also known as high-frequency communication) is to achieve medium and long-distance communication through ionospheric reflection or short-distance communication transmission through ground waves. The actual frequency range used is 3MHz-30MHz. It has the advantages of simple equipment, low cost, high flexibility, and long communication distance, and is an indispensable type of wireless communication. Short-wave transmission mainly relies on ionospheric reflection. Since the ionosphere is a layered, inhomogeneous, anisotropic, and time-space medium, short-wave channels have multipath delays, fading, Doppler frequency deviation, and frequency dispersion. A series of complex features.
MIMO(多输入多输出)系统利用多个天线来发送和接收信号,能够增加信道容量,并且在使用相同的总功率和带宽的条件下,比SISO(单输入单输出)系统有着更高的频谱利用率。理想条件下,MIMO系统容量随天线数目线性增加。同时,正交频分复用(OFDM)技术的出现,使得每个子载波上的数据传输速率相对较低,从而减小了码间串扰。该技术使得系统对信道的时延弥散性不敏感,即使不使用均衡器也能获得良好的性能。将MIMO及OFDM技术用于短波通信系统,可以用来有效的提高短波通信系统的性能。因此构建基于短波信道的MIMO-OFDM系统是目前较为值得研究的问题。MIMO (Multiple Input Multiple Output) systems use multiple antennas to transmit and receive signals, which can increase channel capacity and have a higher frequency spectrum than SISO (Single Input Single Output) systems using the same total power and bandwidth. utilization rate. Under ideal conditions, the capacity of a MIMO system increases linearly with the number of antennas. At the same time, the emergence of Orthogonal Frequency Division Multiplexing (OFDM) technology makes the data transmission rate on each subcarrier relatively low, thereby reducing the intersymbol interference. This technology makes the system insensitive to the delay dispersion of the channel, and can obtain good performance even without using an equalizer. Applying MIMO and OFDM technology to the short-wave communication system can effectively improve the performance of the short-wave communication system. Therefore, constructing MIMO-OFDM system based on shortwave channel is a problem worth studying at present.
在基于短波信道的MIMO-OFDM系统中,由于无线信道存在多径时延、衰落、多普勒频移/高斯白噪等一系列影响,在接收端对信道参数的估计是一个困难的过程。常用的非盲信道估计借助于参考信号,如导频或训练序列,可以按一定的估计准则估计信道参数值,同时逐步跟踪和调整待估参数的估计值。在这样的算法中,OFDM时隙结构的设计和导频(序列)方案的改善都会影响到信道估计的结果和实现复杂度,从而导致系统性能的变化。In MIMO-OFDM systems based on shortwave channels, due to a series of influences such as multipath delay, fading, Doppler frequency shift/Gaussian white noise in wireless channels, it is a difficult process to estimate channel parameters at the receiving end. Commonly used non-blind channel estimation uses reference signals, such as pilots or training sequences, to estimate channel parameter values according to certain estimation criteria, and at the same time gradually track and adjust the estimated values of the parameters to be estimated. In such an algorithm, the design of the OFDM time slot structure and the improvement of the pilot (sequence) scheme will affect the result of channel estimation and the implementation complexity, resulting in changes in system performance.
发明内容Contents of the invention
发明目的:针对基于短波信道的MIMO-OFDM系统,本发明提供一种信道估计方法,采用一种双循环自适应的时隙结构以及一组循环正交码循环移位构成的导频方案,以提高信道参数估计的精确度并降低实现的复杂度。Purpose of the invention: for MIMO-OFDM systems based on shortwave channels, the present invention provides a channel estimation method, which adopts a dual-cycle adaptive time slot structure and a pilot scheme composed of a set of cyclic orthogonal code cyclic shifts, to The accuracy of channel parameter estimation is improved and the complexity of implementation is reduced.
技术方案:为实现上述发明目的,本发明采用如下技术方案:Technical solution: In order to achieve the above-mentioned purpose of the invention, the present invention adopts the following technical solution:
一种基于短波信道MIMO-OFDM通信系统的信道估计方法,包括如下步骤:A channel estimation method based on a shortwave channel MIMO-OFDM communication system, comprising the steps of:
(1)在发送端,构造由循环正交码组成的导频序列,并将其间歇的插入发送数据以组成双循环结构的时隙结构,其中,第m根发送天线的导频序列为第0根发送天线的导频序列向右循环移位m×Dmax位,0<m<M,M为发送天线的个数,Dmax为信道的最大时延;所述时隙结构由多个子时隙和一个尾部序列构成,每个子时隙由循环保护段G、导频段P、以及用户数据段D或控制信息C组成,所述尾部序列由G+P组成;所述循环保护段G的长度LG不小于信道最大时延,且小于导频段P的长度Lp;循环保护段G由与其相邻的导频段P的后LG个符号构成;(1) At the sending end, construct a pilot sequence composed of cyclic orthogonal codes, and insert it intermittently into the sending data to form a double-cycle time slot structure, wherein the pilot sequence of the mth transmitting antenna is The pilot sequence of 0 transmitting antennas is cyclically shifted to the right by m×D max bits, 0<m<M, M is the number of transmitting antennas, and D max is the maximum time delay of the channel; the time slot structure consists of multiple A time slot and a tail sequence, each sub-slot is composed of a cyclic protection segment G, a pilot segment P, and a user data segment D or control information C, and the tail sequence is composed of G+P; the cyclic protection segment G The length L G is not less than the maximum delay of the channel, and is less than the length L p of the pilot segment P; the cyclic protection segment G is composed of the last L G symbols of the adjacent pilot segment P;
(2)在接收端,利用接收信号的每个导频段,采用最小二乘法估计出一组信道冲激响应估计其中为所有发送天线上的导频信号组成的矩阵Sp的转置,rP,n为第n根接收天线收到的导频序列;(2) At the receiving end, use each pilot segment of the received signal to estimate a set of channel impulse response estimates using the least squares method in is the transpose of the matrix S p composed of pilot signals on all transmitting antennas, r P,n is the pilot sequence received by the nth receiving antenna;
(3)在接收端,在步骤(2)估计出的信道冲激响应的基础上,利用时间的相关性,获取数据段时间内信道的冲激响应参数。(3) At the receiving end, on the basis of the channel impulse response estimated in step (2), the time correlation is used to obtain the channel impulse response parameters within the data period.
有益效果:本发明信道估计方法中采用的时隙结构可以消除各时隙间的干扰,同时也消除了时隙中未知数据符号对确定的导频序列的干扰,进行信道估计时只需取出导频段处理既可。这种特殊的时隙形式可以使信道冲激响应和发送信号序列的线性卷积转变为循环卷积,从而可以用信道循环矩阵和发送信号矢量的乘积简单地表示接收矢量。采用的导频方案,可以保证各天线上导频符号的正交性,且能够在基于短波watterson模型的MIMO-OFDM系统中简化最小二乘法的计算,使算法中的求逆运算变为简单的矩阵转置和除法形式。Beneficial effects: the time slot structure adopted in the channel estimation method of the present invention can eliminate the interference between each time slot, and also eliminate the interference of the unknown data symbols in the time slot to the determined pilot sequence, and only need to take out the pilot sequence when performing channel estimation. Band processing is fine. This special time slot form can transform the linear convolution of the channel impulse response and the transmitted signal sequence into a circular convolution, so that the received vector can be simply expressed by the product of the channel circular matrix and the transmitted signal vector. The adopted pilot scheme can guarantee the orthogonality of the pilot symbols on each antenna, and can simplify the calculation of the least squares method in the MIMO-OFDM system based on the shortwave watterson model, making the inversion operation in the algorithm simple Matrix transpose and division forms.
附图说明Description of drawings
图1是MIMO-OFDM通信系统模型图;Fig. 1 is a MIMO-OFDM communication system model diagram;
图2是本发明所采用的系统时隙结构图;Fig. 2 is the structural diagram of the system time slot that the present invention adopts;
图3是本发明所采用的循环正交码经循环移位构成的导频序列图。Fig. 3 is a diagram of a pilot sequence formed by cyclic shifting of the cyclic orthogonal code adopted in the present invention.
具体实施方式Detailed ways
下面结合具体实施例对本发明做进一步阐述。The present invention will be further elaborated below in conjunction with specific embodiments.
图1为基于短波信道的MIMO-OFDM通信系统的系统模型图,本发明的应用于此系统的信道估计方法,包括如下步骤:Fig. 1 is the system model diagram based on the MIMO-OFDM communication system of shortwave channel, the channel estimation method that is applied to this system of the present invention, comprises the steps:
(1)发送端按照图3的格式来构建导频序列,将导频序列间歇的插入发送数据以组成如图2所示的双循环结构的时隙结构。该时隙结构是由4个子时隙和一个尾部序列构成的,每个子时隙都是由循环保护段G、导频段P、用户数据段D或控制信息C组成的,时隙的尾部序列为G+P。循环保护段长度LG应当不小于信道最大延迟,同时小于导频长度Lp。该时隙结构采用的是双循环自适应结构,即对于G+P,G是由P的后LG个符号组成的,这是小循环;而针对于整个时隙,(G+P)与整个时隙的最后LG+Lp个符号是一致的,这是大循环。这种时隙结构的优点是:可以消除时隙间的干扰,同时也消除了时隙中未知数据符号对确定的导频序列的干扰,进行信道估计时只需取出导频段处理既可;可以将信道冲激响应和发送信号序列的线性卷积转变为循环卷积,从而可以用信道循环矩阵和发送信号矢量的乘积简单地表示接收矢量。如图3所示的导频序列,其中j为虚数符号,导频P长度为32个符号,每一个符号为一个复数。循环保护段G的长度为8,由每一个导频段P的后8个符号构成。为了利用导频序列的循环正交特性,第m根发送天线的导频序列为第0根发送天线的导频序列向右循环移位mP位(P为信道的最大时延)。(1) The transmitting end constructs a pilot sequence according to the format in FIG. 3 , and inserts the pilot sequence intermittently into the transmission data to form a time slot structure with a double cycle structure as shown in FIG. 2 . The time slot structure is composed of 4 sub-slots and a tail sequence. Each sub-slot is composed of a cyclic protection segment G, a pilot segment P, a user data segment D or a control information C. The tail sequence of a time slot is G+P. The length L G of the cyclic guard segment should not be less than the maximum delay of the channel, and at the same time be less than the pilot length L p . The time slot structure adopts a double-cycle adaptive structure, that is, for G+P, G is composed of the last L G symbols of P, which is a small cycle; and for the entire time slot, (G+P) and The last L G + L p symbols of the entire time slot are consistent, which is a big cycle. The advantage of this time slot structure is that it can eliminate the interference between time slots, and at the same time eliminate the interference of unknown data symbols in the time slot to the determined pilot sequence. When performing channel estimation, it is only necessary to take out the pilot frequency segment for processing; The linear convolution of the channel impulse response and the transmitted signal sequence is transformed into a circular convolution, so that the received vector can be simply expressed by the product of the channel circular matrix and the transmitted signal vector. The pilot sequence shown in Figure 3, wherein j is an imaginary symbol, the length of the pilot P is 32 symbols, and each symbol is a complex number. The length of the cyclic protection segment G is 8, and is composed of the last 8 symbols of each pilot segment P. In order to take advantage of the cyclic orthogonality of the pilot sequence, the pilot sequence of the mth transmitting antenna is cyclically shifted to the right by mP bits from the pilot sequence of the 0th transmitting antenna (P is the maximum time delay of the channel).
(2)在接收端,利用接收信号的每个导频段,采用最小二乘法估计出一组信道冲激响应。(2) At the receiving end, use each pilot segment of the received signal to estimate a group of channel impulse responses by using the least square method.
在多径时变信道下,接收端第n个接收天线的复基带信号可表示为:Under the multipath time-varying channel, the complex baseband signal of the nth receiving antenna at the receiving end can be expressed as:
其中sm(k)为发送端第m根天线发送的数字基带信号,hn,m(l,k)为第m根天线到第n根天线的时变冲激响应,Dmax为信道的最大时延,zn(k)为零均值高斯白噪声序列。在watterson建模下的短波信道,可以认为每个子时隙所占的时间段内信道是接近时不变的,也因此,在仅涉及单个子时隙长度数据序列处理的讨论中,将略去hn,m(l,k)中的第二个自变量。依据每个时隙内的接收导频信号可以估计出信道的冲击响应和噪声的方差,用于后继信号的检测。where s m (k) is the digital baseband signal sent by the mth antenna at the transmitter, h n,m (l,k) is the time-varying impulse response from the mth antenna to the nth antenna, D max is the channel The maximum time delay, z n (k) is a zero-mean white Gaussian noise sequence. In the shortwave channel modeled by Watterson, it can be considered that the channel is nearly time-invariant in the time period occupied by each sub-slot, and therefore, in the discussion involving only the data sequence processing of the length of a single sub-slot, it will be omitted The second argument in h n,m (l,k). According to the received pilot signal in each time slot, the impulse response of the channel and the variance of the noise can be estimated for subsequent signal detection.
由于发送信号中每个长度为LP的导频段之前加入了循环保护,且循环保护序列的长度不小于信道的最大时延Dmax,故每根接收天线接收到的每个长度为LP的导频序列可以表示为M根发送天线的发送导频序列与信道冲激响应序列的循环卷积的叠加,再加上零均值高斯白噪声序列。以sP,m(k),(k=0,1,...,LP-1)表示第m根天线的发送导频序列,以rP,n(k),(k=0,1,...,LP-1)表示第n根接收天线接收的导频序列,则有:Since cyclic protection is added before each pilot segment of length L P in the transmitted signal, and the length of the cyclic protection sequence is not less than the maximum delay D max of the channel, each receiving antenna receives a cyclic protection sequence of length L P The pilot sequence can be expressed as the superposition of the circular convolution of the transmission pilot sequence of M transmitting antennas and the channel impulse response sequence, plus the zero-mean Gaussian white noise sequence. Let s P,m (k), (k=0,1,...,L P -1) represent the transmission pilot sequence of the mth antenna, and r P,n (k), (k=0, 1,..., LP -1) represents the pilot sequence received by the nth receiving antenna, then:
其中表示循环卷积,hn,m(l),(l=0,1,...,Dmax-1)表示第m根发送天线到第n根接收天线的信道冲激响应序列,zP,n(k)为零均值高斯白噪声序列,设其方差为需要估计每根发送天线到每根接收天线的信道冲激响应,可令:in Represents circular convolution, h n,m (l), (l=0,1,...,D max -1) represents the channel impulse response sequence from the mth transmitting antenna to the nth receiving antenna, z P , n (k) is a zero-mean Gaussian white noise sequence, and its variance is set as To estimate the channel impulse response from each transmit antenna to each receive antenna, we can make:
hn,m=[hn,m(0)hn,m(1)…hn,m(Dmax-1)]T (3)h n,m =[h n,m (0)h n,m (1)…h n,m (D max -1)] T (3)
sP,m=[sP,m(0) sP,m(1) … sP,m(LP-1)]T (5)s P,m =[s P,m (0) s P,m (1) … s P,m (L P -1)] T (5)
zP,n=[zP,n(0) zP,n(1) … zP,n(LP-1)]T (6)z P,n =[z P,n (0) z P,n (1) … z P,n (L P -1)] T (6)
为了利用导频序列的循环正交特性,第m根发送天线的导频序列为第0根发送天线的导频序列向右循环移位m*Dmax位,即:In order to take advantage of the cyclic orthogonality of the pilot sequence, the pilot sequence of the mth transmit antenna is cyclically shifted to the right by m*D max bits for the pilot sequence of the 0th transmit antenna, namely:
令其中:make in:
令SP=[SP,0 SP,1 … SP,M-1],则(2)可表示为Let S P =[S P,0 S P,1 … S P,M-1 ], then (2) can be expressed as
rP,n=SPhn+zP,n (9)r P,n =S P h n +z P,n (9)
使用最小二乘信道估计的方法,得到信道参数的估计值 Use the least squares channel estimation method to obtain the estimated value of the channel parameters
由于导频序列的循环正交性质,即:Due to the cyclic orthogonal nature of the pilot sequence, namely:
其中IMP表示(M*Dmax)X(M*Dmax)的恒等矩阵。此时,hn的最小二乘信道估计为:Where I MP represents the identity matrix of (M*D max )X(M*D max ). At this time, the least squares channel estimate of h n for:
在最小二乘信道估计下,利用具有循环正交特性的导频序列,可以获得精确的信道估计。Under the least squares channel estimation, accurate channel estimation can be obtained by using the pilot sequence with cyclic orthogonal characteristics.
基于上述推导结果,接收端的信道参数的估计算法的计算步骤为:Based on the above derivation results, the calculation steps of the channel parameter estimation algorithm at the receiving end are as follows:
(2.1)按照SP=[SP,0 SP,1 … SP,M-1]的结构构造矩阵SP,其中每一个列向量可表示为sP,m=[sP,m(0) sP,m(1) … sP,m(LP-1)]T,表示第m根发送天线的发送导频序列。(2.1) Construct the matrix S P according to the structure of S P =[S P,0 S P,1 ... S P,M-1 ], where each column vector can be expressed as s P,m =[s P,m ( 0) s P,m (1) … s P,m (L P -1)] T , indicating the transmit pilot sequence of the mth transmit antenna.
(2.2)构造rp,n=[rp,n(0) rp,n(1) … rp,n(Lp-1)]T表示第n根接收天线接收到的导频序列,该序列是已知的接收信号。(2.2) Construct r p,n =[r p,n (0) r p,n (1) ... r p,n (L p -1)] T represents the pilot sequence received by the nth receiving antenna, This sequence is the known received signal.
(2.3)按
(3)在步骤(2)估计出的信道冲激响应的基础上,利用时间的相关性,获取数据段时间内信道的冲激响应参数,从而完成信道估计模块的工作,为接收机的后续检测提供参数。由于使用watterson模型作为信道的仿真实现,因此可以将两个导频段中间间隔较短的信道参数用插值方法进行估算,例如线性插值、高斯插值、样条插值等,从而获取数据段对应时间上的信道参数。(3) On the basis of the channel impulse response estimated in step (2), the time correlation is used to obtain the impulse response parameters of the channel within the data period, so as to complete the work of the channel estimation module and provide the follow-up information for the receiver. Detection provides parameters. Since the Watterson model is used as the simulation implementation of the channel, the channel parameters with a short interval between the two pilot segments can be estimated by interpolation methods, such as linear interpolation, Gaussian interpolation, spline interpolation, etc., so as to obtain the corresponding time of the data segment channel parameters.
根据前述推导能够推测出,本发明实施例中采用的时隙结构及导频参数能够简化多输入多输出情况下的最小二乘估计算法,且保证每条输入输出信道上的正交性,从而促使系统性能的提升。According to the foregoing derivation, it can be deduced that the time slot structure and pilot parameters used in the embodiment of the present invention can simplify the least squares estimation algorithm in the case of multiple input and multiple output, and ensure the orthogonality of each input and output channel, thereby Improve system performance.
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