Direction of Arrival Estimation in Elliptical Models via Sparse Penalized Likelihood Approach

Sensors

Mengjiao Tang¹  Jie Zhou²  Chen Chen² 

[1] Center for Information Engineering Science Research, School of Electronics and Information Engineering, Xi’an Jiaotong University, Xi’an 710049, China;College of Mathematics, Sichuan University, Chengdu 610064, China;

关键词: direction of arrival (DOA);    complex elliptically symmetric (CES) distributions;    sparse penalized likelihood method;    majorization-minimization (MM) algorithm;   

DOI  :  10.3390/s19102356

来源: DOAJ

【 摘 要 】

In this paper, an $l_1$ -penalized maximum likelihood (ML) approach is developed for estimating the directions of arrival (DOAs) of source signals from the complex elliptically symmetric (CES) array outputs. This approach employs the $l_1$ -norm penalty to exploit the sparsity of the gridded directions, and the CES distribution setting has a merit of robustness to the uncertainty of the distribution of array output. To solve the constructed non-convex penalized ML optimization for spatially either uniform or non-uniform sensor noise, two majorization-minimization (MM) algorithms based on different majorizing functions are developed. The computational complexities of the above two algorithms are analyzed. A modified Bayesian information criterion (BIC) is provided for selecting an appropriate penalty parameter. The effectiveness and superiority of the proposed methods in producing high DOA estimation accuracy are shown in numerical experiments.

【 授权许可】

Unknown