Array Diagnosis and DOA Estimation for Coprime Array under Sensor Failures
College of Electronic Engineering, National University of Defense Technology, Hefei 230037, China
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Sensors 2020, 20(9), 2735; https://doi.org/10.3390/s20092735
Received: 14 March 2020
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Revised: 24 April 2020
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Accepted: 9 May 2020
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Published: 11 May 2020
(This article belongs to the Special Issue Recent Advances in Sensor Array and Multichannel Signal Processing with Its Applications to IoT Security)
A coprime array of sensors can achieve degrees of freedom (DOFs) by possessing a uniform linear array segment of size in the difference coarray. However, the structure of difference coarray is sensitive to sensor failures. Once the sensor fails, the impact of failure sensors on the coarray structure may decrease the DOFs and cause direction finding failure. Therefore, the direction of arrival (DOA) estimation of coprime arrays with sensor failures is a significant but challenging topic for investigation. Driven by the need for remedial measures, an efficient detection strategy is developed to diagnose the coprime array. Furthermore, based on the difference coarray, we divide the sensor failures into two scenarios. For redundant sensor failure scenarios, the structure of difference coarray remains unchanged, and the coarray MUSIC (CO-MUSIC) algorithm is applied for DOA estimation. For non-redundant sensor failure scenarios, the consecutive lags of the difference coarray will contain holes, which hinder the application of CO-MUSIC. We employ Singular Value Thresholding (SVT) algorithm to fill the holes with covariance matrix reconstruction. Specifically, the covariance matrix is reconstructed into a matrix with zero elements, and the SVT algorithm is employed to perform matrix completion, thereby filling the holes. Finally, we employ root-MUSIC for DOA estimation. Simulation results verify the effectiveness of the proposed methods.
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Keywords:
direction of arrival (DOA); coprime array; sensor failure; matrix reconstruction; redundant sensors
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MDPI and ACS Style
Sun, B.; Wu, C.; Ruan, H. Array Diagnosis and DOA Estimation for Coprime Array under Sensor Failures. Sensors 2020, 20, 2735. https://doi.org/10.3390/s20092735
AMA Style
Sun B, Wu C, Ruan H. Array Diagnosis and DOA Estimation for Coprime Array under Sensor Failures. Sensors. 2020; 20(9):2735. https://doi.org/10.3390/s20092735
Chicago/Turabian StyleSun, Bing, Chenxi Wu, and Huailin Ruan. 2020. "Array Diagnosis and DOA Estimation for Coprime Array under Sensor Failures" Sensors 20, no. 9: 2735. https://doi.org/10.3390/s20092735
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