Abstract

Noise suppression capacity in multiple-input multiple-output (MIMO) sonar signal processing is derived under the assumption of white Gaussian noise. However, underwater noise mainly includes white Gaussian noise and colored noise. There exists a certain correlation between the noise signals received by each MIMO sonar array element. The performance of traditional direction-of-arrival (DOA) estimation methods decreases obviously in complex marine noise. In this paper, we propose a marine environment noise suppression method for MIMO applied to multiple targets’ DOA estimation. The noise field can be decomposed into a symmetric noise component and an asymmetric noise component. We use the covariance matrix imaginary component to pre-estimate the signal sources, then use the dimension reduction transformation to reconstruct the real component of the covariance matrix. The Toeplitz technique is utilized to reduce the correlation of the reconstructed covariance matrix. Thus, the subspace decomposition-based techniques such as multiple signal classification (MUSIC) can be used for multiple targets’ DOA estimation. To reduce the computational complexity of the methods, search-free direction-finding techniques such as the estimation of signal parameters via rotational invariance techniques (ESPRIT) can be utilized. As a result, the proposed methods can achieve better direction-finding performance in the condition of limited snapshots with lower computational cost. The corresponding Cramer-Rao bound (CRB) is deduced and the signal-to-noise ratio (SNR) gain obtained by dimension reduction processing is discussed. Simulation results also show the superiority of the proposed method over the existing methods.

Highlights

  • Multiple-input multiple-output (MIMO) sonar is a system that consists of the transmit array and the receive array

  • Different from the multiple signal classification (MUSIC) algorithm, the ESPRIT algorithm avoids the computational load brought by spectral peak search and the calculating speed is more prominent than the MUSIC-based methods

  • It is worth mentioning that the proposed MIMO sonar model with the reconstructed covariance matrix differs from the traditional MIMO sonar model given in Equation (4) due to the fact that the reduced dimension transformation method is used in Equation (27)

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Summary

Introduction

Multiple-input multiple-output (MIMO) sonar is a system that consists of the transmit array and the receive array. A low complexity MUSIC-based Toeplitz reconstruction method was utilized [34] This method can effectively reduce the operation dimension and avoid the loss of virtual array aperture and DOF caused by the traditional decorrelation method. We proposed a new method for the accurate DOA estimation in the case of complex noise The essence of this method is to improve the accuracy of direction finding, minimize the computational complexity and reduce the number of snapshots required. We get a novel noise suppression method for MIMO sonar DOA estimation This method is based on dimension reduction transformation and the Toeplitz decoherence technique. Due to the established rotational invariance property at the MIMO sonar array, ESPRIT can be used to replace MUSIC This search-free method can obviously reduce the computational complexity. I M× M denotes an M × M identity matrix, C M× N is M × N matrix. diag(·) represents the diagonalization operation

MIMO Sonar Signal Model
Problem Formulation
Performance Analysis
Computational Complexity Analysis
Cramer-Rao Bound
SNR Gain
Simulation Results
Thenoise
The RMSE versus the MUSIC-based estimation
The computational complexity versus snapshot number for MUSIC-based and
Method
= 50 . Method
This means the performance
= 10 , Method
11. The versus for MUSIC-based and ESPRIT-based estimation
Full Text
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