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一种对称α稳定分布噪声环境下DOA估计新算法
马金全,葛临东,童莉
0
(信息工程大学 信息系统工程学院,郑州 450002)
摘要:
脉冲噪声环境下波达方向(DOA)估计是阵列信号处理领域一个新兴研究方向。针对α稳定分布噪声环境下经典MUSIC算法性能退化的问题,提出了一种新的基于非线性压缩核函数(NCCF)的DOA估计算法。该算法利用基于NCCF的有界矩阵代替了MUSIC的协方差矩阵,通过对有界矩阵进行特征分解确定信号子空间和噪声子空间,借用MUSIC谱估计公式进行谱峰搜索,得到DOA的估计值。仿真结果表明,NCCF-MUSIC算法运算复杂度较低,相比于基于分数低阶统计量(FLOS)的MUSIC方法和基于广义类相关熵(GCAS)的MUSIC算法,该方法具有更好的准确度和稳定性。
关键词:  波达方向估计  α稳定分布  非线性压缩核函数  MUSIC 算法  非高斯信号处理
DOI:
基金项目:河南省基础与前沿计划项目(132300410049)
A new DOA algorithm based on nonlinear compress core function in symmetric α-stable distribution noise environment
MA Jin-quan,GE Lin-dong,TONG Li
()
Abstract:
Direction of arrival (DOA) estimation in the impulse noise environment is a new research direction in the array signal processing field. To solve the problem of performance degradation when applying classic MUSIC algorithm for DOA estimation in the α-stable distribution noise environment,a novel DOA estimation algorithm based on a nonlinear compress core function(NCCF) is provided and named as the NCCF-MUSIC. To obtain a DOA estimation,the NCCF-MUSIC method replaces the covariance matrix in MUSIC by a bounded matrix based on the NCCF,and then determines the signal subspace and the noise subspace by feature decomposition,and finally,introduces the MUSIC spectrum estimation algorithm to make a spectral peak searching. Simulation results show that the new NCCF-MUSIC method with a lower computation cost has the higher performance in accuracy and validity than the MUSIC methods based on fractional lower order statistics (FLOS) or based on generalized correntropy-analogous statistics (GCAS).
Key words:  DOA  α-stable distribution  nonlinear compress core function  MUSIC algorithm  non-Gauss signal processing