An Under-Sampling Array Signal Processing Method Based on Improved Hadamard Matrix

The compressive sensing method is an effective way of under-sampling array signal processing, and the measurement matrix is a key technology of compressive sensing processing, which is of decisive significance to improve the performance of under-sampling array signal processing. In this paper, an un...

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Main Authors: Tongjing Sun, Qidong Ge, Yabin Wen, Yunfei Guo, Mingda Li
Format: Article
Language:English
Published: MDPI AG 2022-10-01
Series:Applied Sciences
Subjects:
Online Access:https://www.mdpi.com/2076-3417/12/21/10769
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author Tongjing Sun
Qidong Ge
Yabin Wen
Yunfei Guo
Mingda Li
author_facet Tongjing Sun
Qidong Ge
Yabin Wen
Yunfei Guo
Mingda Li
author_sort Tongjing Sun
collection DOAJ
description The compressive sensing method is an effective way of under-sampling array signal processing, and the measurement matrix is a key technology of compressive sensing processing, which is of decisive significance to improve the performance of under-sampling array signal processing. In this paper, an under-sampling array signal processing method based on an improved Hadamard measurement matrix was proposed. This method improved the construction of the measurement matrix by a compressing zero method capable of reducing the redundant data, enhancing the non-correlation between columns, improving the RIP condition, and improving the performance of the compressive sensing method. The performance was verified by simulation and real data from the lake, and the results showed that the method proposed in this paper has obvious performance advantages compared with the Toeplitz Circular Matrix, the m-sequence-based matrix, and the partial Hadamard matrix under the same conditions.
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spelling doaj.art-43b362447aee4eb98062a743c09e155b2023-11-24T03:32:31ZengMDPI AGApplied Sciences2076-34172022-10-0112211076910.3390/app122110769An Under-Sampling Array Signal Processing Method Based on Improved Hadamard MatrixTongjing Sun0Qidong Ge1Yabin Wen2Yunfei Guo3Mingda Li4Department of Automation, Hangzhou Dianzi University, Xiasha Higher Education Zone, Hangzhou 310018, ChinaDepartment of Automation, Hangzhou Dianzi University, Xiasha Higher Education Zone, Hangzhou 310018, ChinaDepartment of Automation, Hangzhou Dianzi University, Xiasha Higher Education Zone, Hangzhou 310018, ChinaDepartment of Automation, Hangzhou Dianzi University, Xiasha Higher Education Zone, Hangzhou 310018, ChinaDepartment of Naval Architecture, Ocean and Civil Engineering, Shanghai Jiao Tong University, Shanghai 200240, ChinaThe compressive sensing method is an effective way of under-sampling array signal processing, and the measurement matrix is a key technology of compressive sensing processing, which is of decisive significance to improve the performance of under-sampling array signal processing. In this paper, an under-sampling array signal processing method based on an improved Hadamard measurement matrix was proposed. This method improved the construction of the measurement matrix by a compressing zero method capable of reducing the redundant data, enhancing the non-correlation between columns, improving the RIP condition, and improving the performance of the compressive sensing method. The performance was verified by simulation and real data from the lake, and the results showed that the method proposed in this paper has obvious performance advantages compared with the Toeplitz Circular Matrix, the m-sequence-based matrix, and the partial Hadamard matrix under the same conditions.https://www.mdpi.com/2076-3417/12/21/10769compressive sensingmeasurement matrixarray signal processingimproved Hadamard matrixunderwater acoustic signal
spellingShingle Tongjing Sun
Qidong Ge
Yabin Wen
Yunfei Guo
Mingda Li
An Under-Sampling Array Signal Processing Method Based on Improved Hadamard Matrix
Applied Sciences
compressive sensing
measurement matrix
array signal processing
improved Hadamard matrix
underwater acoustic signal
title An Under-Sampling Array Signal Processing Method Based on Improved Hadamard Matrix
title_full An Under-Sampling Array Signal Processing Method Based on Improved Hadamard Matrix
title_fullStr An Under-Sampling Array Signal Processing Method Based on Improved Hadamard Matrix
title_full_unstemmed An Under-Sampling Array Signal Processing Method Based on Improved Hadamard Matrix
title_short An Under-Sampling Array Signal Processing Method Based on Improved Hadamard Matrix
title_sort under sampling array signal processing method based on improved hadamard matrix
topic compressive sensing
measurement matrix
array signal processing
improved Hadamard matrix
underwater acoustic signal
url https://www.mdpi.com/2076-3417/12/21/10769
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