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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MDPI AG
2022-10-01
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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. |
first_indexed | 2024-03-09T19:18:57Z |
format | Article |
id | doaj.art-43b362447aee4eb98062a743c09e155b |
institution | Directory Open Access Journal |
issn | 2076-3417 |
language | English |
last_indexed | 2024-03-09T19:18:57Z |
publishDate | 2022-10-01 |
publisher | MDPI AG |
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series | Applied Sciences |
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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