Augmented Quaternion MUSIC Method for Near-Field Noncircular Sources With a COLD Array

Tianyi Zhao,Lin Qi,Hua Chen,Zehao Zhang,Weiyue Liu

doi:10.1109/access.2020.3039870

Abstract

Based on the quaternion theory, a novel algorithm named non-circular augmented quaternion MUSIC (NCAQ-MUSIC) is proposed for DOA and range estimation of noncircular signals impinging on a concentered orthogonal loop and dipole (COLD) array. Firstly, based on the augmented quaternion, the proposed algorithm uses the noncircular characteristic of the signals to achieve the virtual array expansion; secondly, the DOA and range parameters can be completely separated in the principle of rank reduction, and finally, the parameters of DOA and range are estimated through one dimensional search. Compared with direct mutil-dimensional (M-D) searching algorithms, the proposed method merely requires several one-dimension (1-D) spectral peak search which does not need parameter pairing. Simulation results verify the performance promotion of the proposed approach.

Highlights

In the field of array signal processing, many methods use different antenna arrays to estimate the parameters of the emission source [1,2,3]
Direction of arrival (DOA) estimation algorithms for signals usually assume that the array is the scalar array composed of ideal array elements, and the direction of arrival (DOA) of the incident signals can be estimated by using the time delay information relative to different array elements
Compared with scalar antenna arrays, vector antenna arrays can extract the polarization information of incident electromagnetic waves to improve the performance of signal parameter estimation

Summary

INTRODUCTION

In the field of array signal processing, many methods use different antenna arrays to estimate the parameters (angle, range, polarization, etc.) of the emission source [1,2,3]. Compared with scalar antenna arrays, vector antenna arrays can extract the polarization information of incident electromagnetic waves to improve the performance of signal parameter estimation. Based on the symmetry structure of linear cross-dipole array, the covariance matrix of the array output was constructed to estimate the signal’s angle-range parameters by the ML [16] and spectral rank reduction (RARE) [17] algorithm. To enhance the orthogonality of MUSIC method with exploiting the additional constraint in quaternion domain, the quaternion dimension-reduced (QDR) algorithm and the quaternion non-circular (QNC) were proposed in [23] for NF signals, which reduce the dimension of quaternion covariance matrix.

Quaternions

THE PROPOSED ALGORITHM

A Vx2ψ A Vy 2 ψ

SIMULATION RESULTS

CONCLUSION