非圆信号的四阶累积量测向新方法

A novel direction finding algorithm for noncircular signals based on fourth-order cumulants

针对传统基于四阶累积量的非圆信号测向方法存在阵列扩展不充分或者有数据冗余等问题,利用四阶累积量的阵列扩展特性,提出了一种阵列充分扩展且无数据冗余的非圆信号测向新方法.根据信号的非圆特性,新方法充分利用了阵列接收数据及其共轭数据来构造四阶累积量矩阵,实现了阵列的充分扩展并且使扩展后的等效阵元数进一步增加;此外,通过巧妙地利用四阶累积量矩阵的结构特征,降低了算法的计算量.理论分析和实验仿真结果表明,所提方法具有计算量小、阵列扩展能力强以及分辨率高等优良性能.

The common DOA estimation algorithms for noncircular signals cannot expand the array aperture efficiently and have data redundancy.Based on the characteristics of the fourth-order cumulant and the noncircular signals,a new direction finding method for noncircular signals which has excellent array expanding ability was proposed in this paper.This new method utilizes both the receiving data of the array and its conjugate data to form the fourth-order cumulant matrix,which can fully expand the array aperture,and the number of expanding array elements is higher than other algorithms when the number of real array elements is fixed.Meanwhile,the computation load can be cut down greatly by making full use of the conjugate or conjugate transposition of the fourth order cumulant matrix.Theoretical analysis and simulation results show that the proposed method has excellent array expanding ability,high resolution,and small computational complexity.