Abstract

Considering coherently-distributed (CD) sources are correlated with each other, a two-dimensional (2D) coherent CD source model is proposed according to the characteristics of an underwater acoustic channel. Under the assumption of small angular spreads, rotational invariance relationships within and between subarrays of double parallel linear arrays are derived. As the covariance matrix of spatial smoothing obtained from receive vectors expressed by rotational invariance relationships is proven to be full rank, decoherence of the 2D coherent CD source is proposed by spatial smoothing of the double parallel linear arrays. A propagator method base on spatial smoothing (SS-PM) and estimation of signal parameters via rotational invariance techniques (ESPRIT) base on spatial smoothing (SS-ESPRIT) method established by covariance matrix of spatial smoothing are proposed. The proposed methods do not require peak-searching, angles matching and information of deterministic angular signal distribution function. Simulations are conducted to verify the effectiveness of the proposed methods.

Highlights

  • In the field of array signal processing, traditional direction-of-arrival (DOA) estimation assumes that a target is a point source

  • Distributed sources are mainly classified as incoherent distributed (ID) and coherent distributed (CD) sources according to the coherence of scatterers

  • Spatial smoothing for 2D coherent CD sources is proposed

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Summary

Introduction

In the field of array signal processing, traditional direction-of-arrival (DOA) estimation assumes that a target is a point source. The assumptions of point source models are no longer valid, and distributed source models are presented in such conditions [1]. The shape of spatial distribution is related to geometry and surface property of a target in underwater detection for instance. Distributed sources are mainly classified as incoherent distributed (ID) and coherent distributed (CD) sources according to the coherence of scatterers. It’s assumed that the scatterers of an ID source are incoherent, while those of a CD source are coherent. According to the spatial distribution dimension, distributed sources can be classified as one-dimensional (1D) distributed source and two-dimensional

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