一种利用均匀圆阵对称特性的近场源酉变换估计算法

A Unitary Transformation Estimation Algorithm for Near-field Source Based on Symmetry of Uniform Circular Array

针对现有均匀圆阵的近场源三维参数估计算法运算量大的缺点,提出了一种基于均匀圆阵对称特性的近场源酉变换估计算法。该算法利用均匀圆阵对称特性将阵列导向矢量进行酉变换和对角化分离处理,消除距离参数,把三维搜索问题化简为二维搜索问题,同时把复值方向矢量转化为实值方向矢量。计算机仿真结果显示,所提算法估计性能优于相关序列降维估计方法,与三维多重信号分类算法性能相当,且通过矩阵分离降维和实值化处理,减少了运算量,有利于工程实时处理。

For the problem that the existing near-field source parameter estimation algorithms based on uniform circular array(UCA)have the disadvantage of large amount of calculation,a unitary transformation estimation algorithm for near-field source based on symmetry of UCA is proposed.This algorithm makes use of the symmetry of UCA to realize unitary transformation and diagonalization of array steering vector for eliminating the distance parameter.Therefore,the three-dimensional search problem is reduced to the two-dimensional search.At the same time,the complex direction vector is transformed into the real value direction vector.The computer simulation results show that the proposed algorithm performs better than dimension reduction method of correlation sequence and has the equivalent performance to 3-dimension multiple signal classification(3D-MUSIC)with less computational effort,which is conducive to real-time engineering processing.