非均匀双圈圆阵互耦自校正
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摘要
为克服互耦误差对阵列测向性能的严重影响,提出一种新的互耦自校正方法.首先分析非均匀双圈圆阵的结构特点,将互耦矩阵按照非均匀线阵内部互耦和非均匀线阵之间互耦的原则进行分块,将非均匀双圈圆阵的互耦问题转换到非均匀线阵的互耦问题.然后利用矩阵的加法运算法则,将分块后的矩阵分解成几个具有特殊特性的矩阵之和的形式,方便实现角度与互耦系数的解耦合,从而依次获得信号角度和互耦系数.实验仿真结果表明:提出的算法具有很强的角度分辨力,能较好估计互耦误差系数,可有效解决非均匀双圈圆阵的互耦问题.
In order to overcome the serious influence of mutual coupling error on the performance of array direction finding, a new mutual coupling self-correction method was proposed. Firstly,the structural characteristics of non-uniform dual circular array were analyzed.The mutual coupling matrix was divided into blocks according to the principle of mutual coupling inside non-uniform linear array and mutual coupling between non-uniform linear arrays.So,the problem of mutual coupling on non-uniform dual circular array was transformed to that on the non-uniform linear array.Secondly,by using the addition rule of matrix,the partitioned matrix was decomposed into the sum of several matrices with special characteristics,facilitating the decoupling of the signal angle and mutual coupling coefficients.The signal angle and mutual coupling coefficients were obtained in turn.From the simulation results,the proposed algorithm has a strong angular resolution and can well estimate the mutual coupling error coefficients,which can effectively solve the mutual coupling problem of non-uniform dual circular array.
In order to overcome the serious influence of mutual coupling error on the performance of array direction finding, a new mutual coupling self-correction method was proposed. Firstly,the structural characteristics of non-uniform dual circular array were analyzed.The mutual coupling matrix was divided into blocks according to the principle of mutual coupling inside non-uniform linear array and mutual coupling between non-uniform linear arrays.So,the problem of mutual coupling on non-uniform dual circular array was transformed to that on the non-uniform linear array.Secondly,by using the addition rule of matrix,the partitioned matrix was decomposed into the sum of several matrices with special characteristics,facilitating the decoupling of the signal angle and mutual coupling coefficients.The signal angle and mutual coupling coefficients were obtained in turn.From the simulation results,the proposed algorithm has a strong angular resolution and can well estimate the mutual coupling error coefficients,which can effectively solve the mutual coupling problem of non-uniform dual circular array.
引文
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[2]何明浩,胡林华,唐志凯.宽带双圈圆阵二维DOA系统中通道复增益估计方法[J].电子学报,2002,30(12):1816-1819.
[3]Henault S,Podilchak S K,Mikki S M,et al.A methodology for mutual coupling estimation and compensation in antennas[J].IEEE Trans on Antennas and Propagation,2013,61(3):1119-1131.
[4]Li W X,Lin J Z,Zhang Y,et al.Joint calibration algorithm for gain-phase and mutual coupling errors in uniform linear array[J].Chinese Journal of Aeronautics,2016,29(4):1065-1073.
[5]Liu S,Yang L S,Yang S Z,et al.Blind directionof-arrival estimation with uniform circular array in presence of mutual coupling[J].International Journal of Antennas and Propagation,2016,8:1-7.
[6]龙超,吴雄斌,柯享玉,等.高频地波雷达的阵列互耦校正[J].华中科技大学学报:自然科学版,2012,40(9):1-5.
[7]Wang M,Ma X C,Yan S F.An auto-calibration algorithm for uniform circular array with unknown mutual coupling[J].IEEE Antennas&Wireless Propagation Letters,2016,15(6):12-15.
[8]Bazzi A,Slock DTM,Meilhac L.Online angle of arrival estimation in the presence of mutual coupling[C]//IEEE Workshop on Statistical Signal Processing.Piscatway:IEEE,2016:26-29.
[9]Hu X Q,Chen H,Wang Y L,et al.A self-calibration algorithm for cross array in the presence of mutual coupling[J].Science China:Information Sciences,2011,54(4):836-848.
[10]Wu B,Chen H.DOA estimation and self-calibration algorithm for y-shaped array in the presence of mutual coupling[C]//International Congress on Image&Signal Processing.[s.n.],2009:1-5.
[11]Jiang G J,Dong Y N,Mao X P,et al.Improved 2D direction of arrival estimation with a small number of elements in UCA in the presence of mutual coupling[J].AEU-International Journal of Electronics and Communications,2016,71:131-138.
[12]曹圣红.存在阵列误差条件下波达方向估计算法研究[D].合肥:中国科学技术大学图书馆,2014.
[13]Hou Y G,Zhang T Y,and Wu S C.An optimization estimation for mutual coupling correction of L-shaped nonuniform array with single snapshot[J].Mathematical Problems in Engineering,2015,2015(3):1-11.
[14]王永良,陈辉,彭应宁,等.空间谱估计理论与算法[M].北京:清华大学出版社,2004.