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CN103780296B - A kind of signal of Homogeneous Circular array antenna receives and distortion antidote - Google Patents

A kind of signal of Homogeneous Circular array antenna receives and distortion antidote Download PDF

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CN103780296B
CN103780296B CN201410022363.5A CN201410022363A CN103780296B CN 103780296 B CN103780296 B CN 103780296B CN 201410022363 A CN201410022363 A CN 201410022363A CN 103780296 B CN103780296 B CN 103780296B
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mutual coupling
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amplitude
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CN103780296A (en
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王立群
杨峰
欧阳廷婷
丁良辉
钱良
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Shanghai Jiao Tong University
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Abstract

本发明涉及一种均匀圆形阵列天线的信号接收及失真矫正方法,包括以下步骤:步骤1:接收链路天线阵的幅度/相位增益矩阵估计;步骤2:接收链路天线阵的互耦系数矩阵估计;步骤3:根据估计的接收链路天线阵的幅度/相位增益矩阵和互耦系数矩阵对接收链路进行矫正;步骤4:发射链路天线阵的增益矩阵估计;步骤5:利用估计的发射链路的增益矩阵和接收链路的互耦系数矩阵,对发射链路进行幅度/相位矫正和互耦矫正。与现有技术相比,本发明具有能够对均匀圆阵的接收、发射链路进行系统级矫正,方案完备并且矫正效果好等优点。

The invention relates to a signal receiving and distortion correction method of a uniform circular array antenna, comprising the following steps: step 1: estimation of the amplitude/phase gain matrix of the receiving link antenna array; step 2: mutual coupling coefficient of the receiving link antenna array Matrix estimation; Step 3: Correct the receive link according to the estimated magnitude/phase gain matrix and mutual coupling coefficient matrix of the receive link antenna array; Step 4: Estimate the gain matrix of the transmit link antenna array; Step 5: Use the estimated The gain matrix of the transmitting link and the mutual coupling coefficient matrix of the receiving link are used to perform amplitude/phase correction and mutual coupling correction on the transmitting link. Compared with the prior art, the present invention has the advantages of being able to correct the receiving and transmitting links of the uniform circular array at the system level, with complete schemes and good correction effects.

Description

一种均匀圆形阵列天线的信号接收及失真矫正方法A Signal Reception and Distortion Correction Method of Uniform Circular Array Antenna

技术领域technical field

本发明涉及通信领域中智能天线的信号接收以及失真矫正技术,尤其是涉及一种均匀圆形阵列天线的信号接收及失真矫正方法。The invention relates to signal reception and distortion correction technology of smart antennas in the communication field, in particular to a signal reception and distortion correction method of a uniform circular array antenna.

背景技术Background technique

随着无线移动通信技术的发展,移动通讯的需求也日益增长,无线网络技术本身的限制使其不能继续满足高的通讯需求,用户在部署无线局域网络时,经常会有无线信号受干扰、信号穿透能力差,导致传输距离短的普遍问题。利用新技术提高有限频率资源的使用效率,成为人们日益关注的课题。With the development of wireless mobile communication technology, the demand for mobile communication is also increasing day by day. The limitations of wireless network technology make it unable to continue to meet high communication needs. When users deploy wireless local area networks, wireless signals are often interfered, signal The penetrating ability is poor, resulting in the general problem of short transmission distance. Using new technologies to improve the efficiency of the use of limited frequency resources has become a subject of increasing concern.

波束成形是天线技术与数字信号处理技术的结合,目的用于定向信号传输或接收使得系统在有限的频谱内可以支持更多的用户,从而成倍的提高频谱使用效率。波束成形技术最早应用于相控阵雷达,通过多个天线单元形成窄波束进行扫描,后来应用到通信领域,主要应用于民用移动通信中的基站。其基本原理利用多天线技术对接收的各路信号进行加权合成,确定信号来波方向,对信号源进行精准定位,产生多路径高增益定向点波束,提供优秀的深度非视距功能。Beamforming is a combination of antenna technology and digital signal processing technology. It is used for directional signal transmission or reception so that the system can support more users in a limited spectrum, thereby doubling the efficiency of spectrum usage. Beamforming technology was first applied to phased array radar, which formed narrow beams for scanning through multiple antenna units, and was later applied to the communication field, mainly used in base stations in civil mobile communications. Its basic principle uses multi-antenna technology to weight and synthesize the received signals, determine the direction of signal arrival, accurately locate the signal source, generate multi-path high-gain directional spot beams, and provide excellent deep non-line-of-sight functions.

在系统采用阵列天线时,接收信号受到天线阵元本身的幅值/相位误差的影响,同时天线阵列的单元之间的距离通常小于二分之一个波长,使得阵列天线的阵元之间具有较强的耦合,这种耦合会使信号的发射和接收产生畸变,从而对天线阵的波束成形和来波方向估计产生较大的影响,使得接收信号失真严重,很大程度上的影响了波束成形接收机的性能。因此,通过计算或实验测量来获得天线阵的互耦系数,依此进行软件或硬件的互耦矫正具有非常重要的意义。而进行互耦矫正的关键依据是阵元间的互耦矫正系数矩阵。When the system uses an array antenna, the received signal is affected by the amplitude/phase error of the antenna element itself, and the distance between the elements of the antenna array is usually less than one-half of the wavelength, so that the elements of the array antenna have Strong coupling, this coupling will distort the transmission and reception of the signal, which will have a greater impact on the beamforming of the antenna array and the direction of arrival estimation, making the received signal seriously distorted and greatly affecting the beam Shaped receiver performance. Therefore, it is of great significance to obtain the mutual coupling coefficient of the antenna array through calculation or experimental measurement, and to perform software or hardware mutual coupling correction based on this. The key basis for mutual coupling correction is the mutual coupling correction coefficient matrix between array elements.

目前国内外一些学者正致力于阵列误差矫正方法的研究,所提出的矫正方法主要分为自矫正方法和有源矫正方法两大类。有源矫正方法是通过在空间设置方位精确已知的辅助信源对阵列误差参数进行离线估计;而自矫正方法则同时给出阵列误差参数和信源方位的估计值。虽然自矫正方法无需借助已知位置的辅助源,进而也无需克服辅助源信号中携带的不确定因素,但通常处理非常复杂,对算法的实时性要求较高。在众多有源矫正方法中,See C M S等在IEE Proceedings-Radar,Sonarand Navigation的文献method forarray calibration in high-resolution sensor arrayprocessing提出了一种针对阵元互耦、幅相误差等阵列误差的有源矫正算法,该算法通过矩阵特征分解得到一组矫正源的方向矢量来估计阵列误差,为了简化问题的讨论,该文献还将互耦矩阵和幅相误差矩阵的乘积作为一个整体进行估计,但算法没有充分利用DOA估计对互耦系数估计的影响,迭代过程无法分离DOA误差和互耦系数误差的交织,计算过程仍有冗余。At present, some scholars at home and abroad are working on the research of array error correction methods. The proposed correction methods are mainly divided into two categories: self-correction methods and active correction methods. The active rectification method is to estimate the array error parameters off-line by setting an auxiliary signal source whose orientation is precisely known in space; while the self-rectification method gives the estimated value of the array error parameters and the source orientation at the same time. Although the self-correction method does not need to rely on the auxiliary source with a known position, and thus does not need to overcome the uncertain factors carried in the auxiliary source signal, the processing is usually very complicated, and the real-time performance of the algorithm is high. Among many active correction methods, See C M S et al. proposed an active correction for array errors such as array element mutual coupling and amplitude-phase error in the document method forarray calibration in high-resolution sensor arrayprocessing of IEE Proceedings-Radar, Sonarand Navigation. Algorithm, the algorithm obtains a set of direction vectors of the correction source through matrix eigendecomposition to estimate the array error. In order to simplify the discussion of the problem, this document also estimates the product of the mutual coupling matrix and the amplitude-phase error matrix as a whole, but the algorithm does not Taking full advantage of the influence of DOA estimation on mutual coupling coefficient estimation, the iterative process cannot separate the interweaving of DOA error and mutual coupling coefficient error, and the calculation process is still redundant.

发明内容Contents of the invention

本发明的目的就是为了克服上述现有技术存在的缺陷而提供一种均匀圆形阵列天线的信号接收及失真矫正方法,能够对均匀圆阵的接收、发射链路进行系统级矫正,方案完备并且矫正效果好。The purpose of the present invention is to provide a signal receiving and distortion correction method of a uniform circular array antenna in order to overcome the above-mentioned defects in the prior art, which can perform system-level correction on the receiving and transmitting links of the uniform circular array. The scheme is complete and The correction effect is good.

本发明的目的可以通过以下技术方案来实现:The purpose of the present invention can be achieved through the following technical solutions:

一种均匀圆形阵列天线的信号接收及失真矫正方法,其特征在于,包括以下步骤:A method for signal reception and distortion correction of a uniform circular array antenna, characterized in that it comprises the following steps:

步骤1:接收链路天线阵的幅度/相位增益矩阵估计;Step 1: Estimate the magnitude/phase gain matrix of the receive link antenna array;

步骤2:接收链路天线阵的互耦系数矩阵估计;Step 2: Estimation of the mutual coupling coefficient matrix of the receiving link antenna array;

步骤3:根据估计的接收链路天线阵的幅度/相位增益矩阵和互耦系数矩阵对接收链路进行矫正;Step 3: Correct the receiving link according to the estimated amplitude/phase gain matrix and mutual coupling coefficient matrix of the receiving link antenna array;

步骤4:发射链路天线阵的增益矩阵估计;Step 4: Estimation of the gain matrix of the transmit link antenna array;

步骤5:利用估计的发射链路的增益矩阵和接收链路的互耦系数矩阵,对发射链路进行幅度/相位矫正和互耦矫正。Step 5: Using the estimated gain matrix of the transmitting link and the mutual coupling coefficient matrix of the receiving link, perform amplitude/phase correction and mutual coupling correction on the transmitting link.

利用近场耦合天线和远场矫正源,依次对接收链路天线阵的幅度/相位增益矩阵和互耦系数矩阵。Using near-field coupling antennas and far-field correction sources, the amplitude/phase gain matrix and mutual coupling coefficient matrix of the receiving chain antenna array are sequentially calculated.

所述的接收链路天线阵的互耦系数矩阵C估计具体为:The estimation of the mutual coupling coefficient matrix C of the receiving link antenna array is specifically:

将互耦系数矩阵C估计简化为对互耦矩阵表征向量c的估计,The estimation of the mutual coupling coefficient matrix C is simplified to the estimation of the representation vector c of the mutual coupling matrix,

若n=2k+1(k=1,2,...),c={1c1c2…ck|ck…c2c1};If n=2k+1(k=1,2,...), c={1c 1 c 2 ...c k |c k ...c 2 c 1 };

若n=2k(k=1,2,..),c={1c1c2…ck-1ckck-1...c2c1}。If n=2k (k=1,2,..), c={1c 1 c 2 ...c k-1 c k c k-1 ...c 2 c 1 }.

其中ci(i=1,2,...,k)为到圆心角度差为(2π/n)i的两个阵元间的耦合系数;n为圆形天线阵元数,k为对应的独立元素个数。Where c i (i=1,2,...,k) is the coupling coefficient between two array elements whose angle difference to the center of the circle is (2π/n)i; n is the number of circular antenna array elements, and k is the corresponding The number of independent elements of .

所述的对接收链路进行矫正具体为:The rectification of the receiving link is specifically as follows:

首先进行幅度/相位增益误差校正,然后利用DOA估计结果估计互耦系数矩阵,矫正后的信号其中Yn×s为圆阵实际接收信号,Cn×n为n元圆阵的互耦系数矩阵,Gn×n为增益误差矩阵。First perform amplitude/phase gain error correction, then use the DOA estimation results to estimate the mutual coupling coefficient matrix, the corrected signal Among them, Y n×s is the actual received signal of the circular array, C n×n is the mutual coupling coefficient matrix of the n-element circular array, and G n×n is the gain error matrix.

,所述的对发射链路进行幅度/相位矫正和互耦矫正具体为:, the amplitude/phase correction and mutual coupling correction of the transmission link are specifically:

设天线阵拟发射信号X,在发射前进行幅相、互耦误差矫正,实际发送信号为X'=Gt -1C-1X,矫正后实际辐射到远场的信号为Y=ACGtX'=ACGtGt -1C-1X=AX,其中A为方向向量、C为圆阵的互耦系数矩阵、Gt为发射链路增益误差矩阵。Assume that the antenna array intends to transmit a signal X, and correct the amplitude, phase and mutual coupling errors before transmission. The actual transmitted signal is X'=G t -1 C -1 X, and the signal actually radiated to the far field after correction is Y=ACG t X'=ACG t G t -1 C -1 X=AX, where A is the direction vector, C is the mutual coupling coefficient matrix of the circular array, and G t is the transmit link gain error matrix.

与现有技术相比,本发明提供了一套完备的均匀圆形天线阵列发射链路、接收链路信号失真矫正方法,构成一个环路矫正系统,它既可以对天线阵的接收链路进行失真矫正,又将互耦系数的估计应用到发射链路中,对发射链路进行失真矫正,其利用的辅助源少、估计准确度高。Compared with the prior art, the present invention provides a complete set of uniform circular antenna array transmitting link, receiving link signal distortion correction method, constitutes a loop correction system, it can not only correct the receiving link of the antenna array Distortion correction, the estimation of mutual coupling coefficient is applied to the transmission chain, and distortion correction is performed on the transmission chain, which uses less auxiliary sources and has high estimation accuracy.

附图说明Description of drawings

图1为本发明应用的阵列天线结构示意图;Fig. 1 is a schematic structural diagram of an array antenna applied in the present invention;

图2为本发明的工作流程图。Fig. 2 is a working flow diagram of the present invention.

具体实施方式Detailed ways

下面结合附图和具体实施例对本发明进行详细说明。The present invention will be described in detail below in conjunction with the accompanying drawings and specific embodiments.

实施例Example

本实施例在以本发明技术方案为前提下进行实施,给出了详细的实施方式和具体的操作过程,但本发明的保护范围不限于下述的实施例。This embodiment is carried out on the premise of the technical solution of the present invention, and the detailed implementation and specific operation process are given, but the protection scope of the present invention is not limited to the following embodiments.

如图1所示,以15阵元的均匀圆形阵列天线为例,所有阵元为半波天线,工作在5GHz频率下,圆阵半径R=6λ/2π。接收、发射链路失真矫正方法包括以下步骤:As shown in Figure 1, taking a uniform circular array antenna with 15 elements as an example, all the elements are half-wave antennas, operating at a frequency of 5 GHz, and the radius of the circular array is R=6λ/2π. The receiving and transmitting link distortion correction method comprises the following steps:

步骤1:将近场矫正信号源设于均匀圆形阵列天线的圆心处,矫正源发送信号z1×m={z1,z2,...,zm},m为矫正序列长度,天线接收信号yi(i=1,...15)为第i个阵元的接收信号序列。幅值/相位矩阵G15×15=diag{g},g={1g2g3...g15},则近场矫正估计出幅值/相位系数gi=avg{yi./y1},i=2,3...15;用gi重构幅值/相位矩阵G15×15=diag{1g2g3...g15};Step 1: Set the near-field correction signal source at the center of the uniform circular array antenna, the correction source sends the signal z 1×m = {z 1 , z 2 ,..., z m }, m is the length of the correction sequence, and the antenna receive signal y i (i=1,...15) is the received signal sequence of the i-th array element. Amplitude/phase matrix G 15×15 =diag{g}, g={1g 2 g 3 ...g 15 }, then the amplitude/phase coefficient g i =avg{y i ./y is estimated by near-field correction 1 }, i=2,3...15; use g i to reconstruct the magnitude/phase matrix G 15×15 =diag{1g 2 g 3 ...g 15 };

步骤2:远场信号源发送信号序列x1×s,对接收信号进行幅值/相位误差矫正,将接收信号Y15×s矩阵左乘幅值/相位矩阵的逆矩阵,得到矫正后的信号阵Step 2: The far-field signal source sends the signal sequence x 1×s , corrects the amplitude/phase error of the received signal, multiplies the received signal Y 15×s matrix to the left by the inverse matrix of the amplitude/phase matrix, and obtains the corrected signal array

利用DOA算法对Y15×s做波达方向估计,得到估计角度信息θ,根据角度信息以及均匀圆形阵列的拓扑结构,计算得到方向向量A15×1(θ)。DOA algorithm is used to estimate the direction of arrival on Y 15×s , and the estimated angle information θ is obtained. According to the angle information and the topology structure of the uniform circular array, the direction vector A 15×1 (θ) is calculated.

将接收信号矩阵Y15×s与第一阵元的接收信号进行相关,即对接收信号的相关Ry和方向向量A15×1(θ)分别做离散傅里叶变换,再将生成的两个频域向量进行点除,得到频域上耦合矩阵的表征向量c′Correlate the received signal matrix Y 15×s with the received signal of the first array element, namely Perform discrete Fourier transform on the correlation R y and direction vector A 15×1 (θ) of the received signal respectively, and then divide the generated two frequency domain vectors to obtain the characterization vector c′ of the coupling matrix in the frequency domain

c′=FFT[Ry]./FFT[A15×1(θ)]c'=FFT[R y ]./FFT[A 15×1 (θ)]

耦合矩阵C15×15是具有循环特性的对称toeplitz矩阵,且对角线元素为1。C15×15可以用其第一行/列c进行表征,The coupling matrix C 15×15 is a symmetric toeplitz matrix with cyclic properties, and the diagonal elements are 1. C 15×15 can be characterized by its first row/column c,

c={1c1c2...c7c7...c2c1};c = {1c 1 c 2 ... c 7 c 7 ... c 2 c 1 };

其中ci(i=1,2,...,7)为到圆心角度差为(2π/n)i的两个阵元间的耦合系数。Where c i (i=1,2,...,7) is the coupling coefficient between two array elements whose angle difference to the center of the circle is (2π/n)i.

对耦合系数频域表征向量c′做傅里叶反变换得到c″,c″={c″1c″2...c″15},将c″向量根据的第一个分量归一化,得到对称toeplitz耦合矩阵的表征向量c,Perform inverse Fourier transform on the coupling coefficient frequency domain representation vector c′ to obtain c″, c″={c″ 1 c″ 2 ...c″ 15 }, and normalize the first component of the c″ vector , get the characterization vector c of the symmetric toeplitz coupling matrix,

c″=IFFT(c′)c"=IFFT(c')

c=c″/c″1 c=c″/c″ 1

利用c重构得到互耦系数矩阵C15×15The mutual coupling coefficient matrix C 15×15 is obtained by reconstructing with c.

步骤3:根据幅/相增益矩阵和互耦系数矩阵对接收链路进行矫正,Step 3: Correct the receiving link according to the amplitude/phase gain matrix and the mutual coupling coefficient matrix,

步骤4:发射链路圆形天线阵送m组快拍向量对于一特定的k(k=1,2...15),向量的分量xi Step 4: Transmit link circular antenna array to send m groups of snapshot vectors For a specific k (k=1,2...15), the components x i of the vector

对于m组xk,求出的平均值,从而可以得到发送端幅相增益矩阵的估计值 make For m groups x k , find The average value of , so that the estimated value of the amplitude-phase gain matrix at the sending end can be obtained

步骤5:对天线阵的发射信号进行矫正。设天线阵拟发射信号X,应在发射前进行幅相、互耦误差矫正,实际发送信号为X'=Gt -1C-1X,这样,实际辐射到远场的信号为Y=ACGX'=ACGtGt -1C-1X=AX。Step 5: Correct the transmitted signal of the antenna array. Assuming that the antenna array intends to transmit a signal X, the amplitude, phase and mutual coupling errors should be corrected before transmission. The actual transmitted signal is X'=G t -1 C -1 X, so that the actual signal radiated to the far field is Y=ACGX '=ACG t G t -1 C -1 X=AX.

Claims (3)

1.一种均匀圆形阵列天线的信号接收及失真矫正方法,其特征在于,包括以下步骤:1. A signal receiving and distortion correction method of uniform circular array antenna, is characterized in that, comprises the following steps: 步骤1:接收链路天线阵的幅值/相位增益矩阵估计;Step 1: Estimation of the amplitude/phase gain matrix of the receive link antenna array; 步骤2:接收链路天线阵的互耦系数矩阵估计;Step 2: Estimation of the mutual coupling coefficient matrix of the receiving link antenna array; 步骤3:根据估计的接收链路天线阵的幅值/相位增益矩阵和互耦系数矩阵对接收链路进行幅值/相位矫正和互耦矫正;Step 3: Perform amplitude/phase correction and mutual coupling correction on the receiving link according to the estimated amplitude/phase gain matrix and mutual coupling coefficient matrix of the receiving link antenna array; 步骤4:发射链路天线阵的幅值/相位增益矩阵估计;Step 4: Estimate the amplitude/phase gain matrix of the transmit link antenna array; 步骤5:利用估计的发射链路天线阵的幅值/相位增益矩阵和接收链路天线阵的互耦系数矩阵,对发射链路进行幅值/相位矫正和互耦矫正;Step 5: Using the estimated amplitude/phase gain matrix of the transmitting link antenna array and the mutual coupling coefficient matrix of the receiving link antenna array, perform amplitude/phase correction and mutual coupling correction on the transmitting link; 所述的对接收链路进行幅值/相位矫正和互耦矫正具体为:The amplitude/phase correction and mutual coupling correction of the receiving link are specifically as follows: 首先进行幅值/相位增益误差校正,然后利用DOA估计结果估计接收链路天线阵的互耦系数矩阵,矫正后的信号其中Yn×s为接收链路天线阵实际接收信号,Cn×n为n元接收链路天线阵的互耦系数矩阵,Gn×n为增益误差矩阵;First, the amplitude/phase gain error correction is performed, and then the mutual coupling coefficient matrix of the receiving link antenna array is estimated by using the DOA estimation result, and the corrected signal Among them, Y n×s is the actual received signal of the receiving link antenna array, C n×n is the mutual coupling coefficient matrix of the n-element receiving link antenna array, and G n×n is the gain error matrix; 所述的对发射链路进行幅值/相位矫正和互耦矫正具体为:The amplitude/phase correction and mutual coupling correction of the transmitting link are specifically as follows: 设发射链路天线阵拟发射信号X,在发射前进行幅值/相位增益误差校正、互耦误差矫正,实际发射信号为X'=Gt -1C-1X,矫正后实际辐射到远场的信号为Y=ACGtX'=ACGtGt -1C-1X=AX,其中A为方向向量,C为接收链路天线阵的互耦系数矩阵,Gt为发射链路增益误差矩阵;其中远场为远场矫正源。Assuming that the transmit link antenna array intends to transmit signal X, the amplitude/phase gain error correction and mutual coupling error correction are performed before transmission. The actual transmitted signal is X'=G t -1 C -1 X, and the actual radiation reaches far after correction. The field signal is Y=ACG t X'=ACG t G t -1 C -1 X=AX, where A is the direction vector, C is the mutual coupling coefficient matrix of the receiving link antenna array, and G t is the transmitting link gain Error matrix; where far field is the source of far field correction. 2.根据权利要求1所述的方法,其特征在于,利用近场耦合天线和远场矫正源,对接收链路天线阵的幅值/相位增益矩阵和互耦系数矩阵进行估计。2. The method according to claim 1, wherein the amplitude/phase gain matrix and the mutual coupling coefficient matrix of the receiving link antenna array are estimated by using near-field coupling antennas and far-field correction sources. 3.根据权利要求1所述的方法,其特征在于,所述的接收链路天线阵的互耦系数矩阵C估计具体为:3. The method according to claim 1, wherein the estimation of the mutual coupling coefficient matrix C of the receiving link antenna array is specifically: 将互耦系数矩阵C的估计简化为对互耦系数矩阵表征向量c的估计,The estimation of the mutual coupling coefficient matrix C is simplified to the estimation of the representation vector c of the mutual coupling coefficient matrix, 若n=2k+1,k=1,2,...;c={1 c1 c2 … ck ck … c2 c1};If n=2k+1, k=1,2,...; c={1 c 1 c 2 ... c k c k ... c 2 c 1 }; 若n=2k,k=1,2,..;c={1 c1 c2 … ck-1ckck-1 … c2 c1};If n=2k, k=1,2,..; c={1 c 1 c 2 ... c k-1 c k c k-1 ... c 2 c 1 }; 其中ci为到圆心的角度差为(2π/n)i的两个阵元间的耦合系数,i=1,2,...,k;n为天线阵的数,k为对应的独立元素个数。Among them, c i is the coupling coefficient between two array elements whose angle difference to the center of the circle is (2π/n)i, i=1,2,...,k; n is the number of antenna arrays, and k is the corresponding independent number of elements.
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