A Low Complexity DOA Estimation Method of CD Sources in Impulsive Noise

Ruiyan Cai,Tianshuang Qiu,Quan Tian

doi:10.1109/access.2021.3121391

Abstract

Direction of arrival (DOA) estimation, as the main technology of passive radio monitoring and positioning, has been deeply investigated. However, the DOA for distributed sources is challenging to estimate in environments with impulsive noise. Although many methods have been proposed for DOA estimation, most of them assume that array output signals contain Gaussian noise. Therefore, the performance of these methods is often poor for alpha-stable distributed impulsive noise. Furthermore, subspace-based DOA estimation methods for distributed sources require a two-dimensional (2D) peak search, which increases the consumption of system computing resources. In this paper, a Q-function-based kernel function is proposed, and its properties are derived. On this basis, a novel DOA estimation method is proposed for coherently distributed (CD) sources in impulsive noise. To reduce computational complexity, a Lagrangian quadratic optimization function is derived by approximating the generalized array manifold of the CD source. By solving this optimization function, a 2D peak search can be reduced to several one-dimensional (1D) peak searches. The simulation results illustrate that the accuracy and robustness of the proposed method outperform those of existing methods.

Highlights

Considerable progress has been made in direction of arrival (DOA) estimation, an important research field of passive radio monitoring and positioning, in recent decades, driven by the needs of military and civil fields
EFFICIENCY OF DIFFERENT ALGORITHMS To evaluate the execution efficiency of different algorithms, the generalized signal-to-noise ratio (GSNR) is set to 10 dB; the characteristic exponent of the alpha-stable distributed impulsive noise is set to α = 1.5; the number of snapshots is set to N = 600; and the number of elements in the uniform linear array (ULA) is set to M = 10 and M = 20, respectively
We present a new DOA estimation of the coherently distributed (CD) source algorithm with low computational complexity in impulsive noise

Summary

INTRODUCTION

Considerable progress has been made in direction of arrival (DOA) estimation, an important research field of passive radio monitoring and positioning, in recent decades, driven by the needs of military and civil fields. Studies have revealed that some natural or human-made noise is typically impulsive, for example, low-frequency atmospheric noise, noise due to sea waves and mountain discontinuities, and underwater acoustic signals [28] In this case, impulsive noise lacks a finite covariance; the performance of subspace-based DOA estimation algorithms [4], [29]–[31] degrades significantly and cannot produce reasonable results in impulsive noise environments. Since the proposed algorithm requires a 2D peak search to obtain the estimates of the spread angle and central DOA, which entails high computational complexity, this paper approximates the generalized array manifold of CD sources and constructs a Lagrangian quadratic optimization function.

THE DSPE ALGORITHM

QFB-DSPE ALGORITHM

A FAST PEAK SEARCH METHOD

SIMULATIONS

CONCLUSION