Utilizing Principal Singular Vectors for 2D DOA Estimation in Single Snapshot Case with Uniform Rectangular Array

Abstract

The problem of azimuth and elevation directions of arrival (DOAs) estimation using a uniform rectangular array (URA) in single snapshot case is addressed in this paper. Using the principal singular vectors of the observed data matrix, an iterative procedure based on the linear prediction property, and weighted least squares is proposed for finding the DOAs with lower computational complexity. Furthermore, the azimuth and elevation parameters are automatically paired. Computer simulations are included to demonstrate the effectiveness of the proposed algorithm.

Direction-of-Arrival Estimation Using Signal Processing on Graphs

“…Prior work has found that single-snapshot DOA estimation is possible with configurations like a non-uniform line array [15], a non-uniform rectangular array [16], uniform circular array [17], and randomly placed array elements [18]. For these prior work, new algorithms were developed based on existing theory such as principal singular vector, dual functions, compressed sensing, and Fourier coefficient interpolation.…”

An Algorithm for Single Snapshot 2D-DOA Estimation Based on a Three-Parallel Linear Array Model

“…Even though the above methods in [13]- [15] work well for realizing the restoration of the covariance matrix rank, they essentially use the loss of degrees of freedom to make up for the "rank loss," and they will result in a reduction in the maximum number of sources in DOA estimates. Y. Wu et al [16] used a uniform rectangular array (URA) to accomplish joint estimation of the azimuth and elevation angles. It uses the particularity of the URA structure and automatically matches 2D angles through the calculation of an iterative procedure which utilizes the sinusoidal linear prediction (LP) property and weighted least squares (WLS).…”

Joint Azimuth and Elevation Angle Estimation Using Matrix Completion Method

“…In the past decades, many effective 2D-DOA estimation methods such as 2D-MUSIC (Multiple Signal Classification) and 2D-ESPRIT (Estimation of Signal Parameters via Rotational Invariance Technique) have been proposed [1][2][3][4][5][6][7][8][9].…”