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

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.

Geometric Algebra based 2D-DOA Estimation for Non-circular Signals with an Electromagnetic Vector Array

“…Euler transform converts complex numbers to real numbers (Xueqiang et al, 2017) Considering the additional constraints of the hypercomplex, a quaternion model for near-field non-circular signals was constructed in MIMO system, the proposed QNC-MUSIC algorithm has better performance than DR-MUSIC (Wang et al, 2014). In order to prevent the reduction of noise subspace dimension, the quaternion polar coordinate model was introduced in (Zhao et al, 2020), and the proposed NCAQ-MUSIC algorithm is superior to QNC-MUISC and QDR-MUSIC (Wang et al, 2014).…”

Direct tracking of noncircular sources for multiple arrays via improved unscented particle filter method

“…The direct tracking problem of noncircular sources is introduced. The noncircular source is one of the most studied signals [10,11]. Noncircular sources are the same phase component in amplitude with zero orthogonal components.…”