Title: DOA estimation of wideband sources by sparse recovery based on uniform circle array

Authors: Jiaqi Zhen; Yanwei Wang; Yong Liu

Addresses: College of Electronic Engineering, Heilongjiang University, Harbin, 150080, China ' Birck Nanotechnology Center, Purdue University, West Lafayette, 47907, USA ' College of Electronic Engineering, Heilongjiang University, Harbin, 150080, China

Abstract: The conventional direction of arrival (DOA) estimation by compressed sensing is based on wideband focusing and sparse recovery in discrete domain. The former needs high signal to noise ratio (SNR), and the latter requires the space division, or their performance will degrade seriously. Therefore, a new algorithm of wideband DOA calculation in frequency domain based on uniform circle array (UCA) is proposed, the optimisation problems are respectively disposed at each frequency, then the sparse support set is acquired by the corresponding semidefinite programming, after that DOA is calculated through fusing the data of every frequency, simultaneously the original sources can also be reconstructed. This algorithm averts the grid partition in discrete domain, and it also performs well in condition of small samples and low SNR.

Keywords: direction of arrival; wideband sources; sparse recovery; uniform circle array; array signal processing; semidefinite programming; linear frequency modulation; support set; signal parameter estimation; embedded systems.

DOI: 10.1504/IJES.2020.109964

International Journal of Embedded Systems, 2020 Vol.13 No.3, pp.300 - 307

Received: 27 Mar 2019
Accepted: 02 Jun 2019

Published online: 11 May 2020 *

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