Open AccessWideband DOA estimation with deficient snapshots using low rank Toeplitz structure
Author(s) -
Shi Juan,
Zhang Qunfei,
Shi Wen Tao
Publication year - 2019
Publication title -
electronics letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.375
H-Index - 146
eISSN - 1350-911X
pISSN - 0013-5194
DOI - 10.1049/el.2019.1748
Subject(s) - toeplitz matrix , algorithm , rank (graph theory) , wideband , direction of arrival , covariance matrix , computer science , matrix (chemical analysis) , covariance , representation (politics) , radar , mathematics , electronic engineering , telecommunications , engineering , statistics , antenna (radio) , materials science , combinatorics , politics , law , pure mathematics , political science , composite material
In array signal processing, most existing direction‐of‐arrival (DOA) estimation methods fail to work given deficient snapshots. To solve this problem, this Letter proposes a novel wideband DOA estimation technique by utilising the sparse representation in terms of the low rank Toeplitz structure presented in uniform array geometries, followed by an enhanced MUSIC method. Specifically, each sub‐band segment is first focused into the reference frequency band to collect the coherent covariance matrix even in the lack of sufficient samples. Then, the covariance matrix is denoised through a structure‐based sparse reconstruction, which exploits the low rank Toeplitz structure. Finally, the DOAs is efficiently estimated via an enhanced MUSIC method. Simulation result confirms the efficacy of the proposed method that works well in MIMO and radar applications.