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Recent studies indicate that an optimized measurement matrix having low coherence with a specified dictionary can significantly improve the reconstruction performance. This paper considers the optimization problem of the sparse measurement matrix. The optimized sparse measurement matrix is formulated by minimizing the Frobenius norm of the difference between the Gram matrix of the sensing matrix and the target Gram matrix. First, the approach for updating the target Gram matrix is designed to reduce the maximal, average, and global coherence simultaneously. Then, an improved momentum gradient algorithm for updating the sparse measurement matrix is derived to accelerate convergence. On the basis of alternating minimization, two optimization algorithms are proposed. The experimental results show that the proposed algorithms outperform several state\u2010of\u2010the\u2010art methods in terms of reconstruction performance.<\/jats:p>","DOI":"10.1049\/sil2\/1233853","type":"journal-article","created":{"date-parts":[[2025,4,24]],"date-time":"2025-04-24T07:34:34Z","timestamp":1745480074000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Methods of Sparse Measurement Matrix Optimization for Compressed Sensing"],"prefix":"10.1049","volume":"2025","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-5373-3927","authenticated-orcid":false,"given":"Renjie","family":"Yi","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-9642-4147","authenticated-orcid":false,"given":"Shunan","family":"Han","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Peng","family":"Liu","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Bo","family":"Zhang","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Hang","family":"Liu","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"265","published-online":{"date-parts":[[2025,4,24]]},"reference":[{"key":"e_1_2_10_1_2","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2006.871582"},{"key":"e_1_2_10_2_2","doi-asserted-by":"publisher","DOI":"10.1002\/dac.5074"},{"key":"e_1_2_10_3_2","doi-asserted-by":"publisher","DOI":"10.1142\/S0219467822500383"},{"key":"e_1_2_10_4_2","doi-asserted-by":"publisher","DOI":"10.32604\/cmc.2022.025555"},{"key":"e_1_2_10_5_2","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2007.909108"},{"key":"e_1_2_10_6_2","doi-asserted-by":"publisher","DOI":"10.1109\/TSP.2012.2218810"},{"key":"e_1_2_10_7_2","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2014.2310482"},{"key":"e_1_2_10_8_2","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2006.885507"},{"key":"e_1_2_10_9_2","doi-asserted-by":"publisher","DOI":"10.1073\/pnas.0437847100"},{"key":"e_1_2_10_10_2","doi-asserted-by":"publisher","DOI":"10.1109\/TSP.2007.900760"},{"key":"e_1_2_10_11_2","first-page":"653","article-title":"An Optimization Method for Measurement Matrix Based on Eigenvalue Decomposition","volume":"28","author":"Zhao R.","year":"2012","journal-title":"Signal Processing (Xinhao Chuli)"},{"key":"e_1_2_10_12_2","doi-asserted-by":"publisher","DOI":"10.1155\/2010\/560349"},{"key":"e_1_2_10_13_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.sigpro.2011.10.012"},{"key":"e_1_2_10_14_2","doi-asserted-by":"publisher","DOI":"10.3390\/math9040329"},{"key":"e_1_2_10_15_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.sigpro.2023.108941"},{"key":"e_1_2_10_16_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.jvcir.2023.103904"},{"key":"e_1_2_10_17_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.sigpro.2022.108864"},{"key":"e_1_2_10_18_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2024.128687"},{"key":"e_1_2_10_19_2","doi-asserted-by":"publisher","DOI":"10.1109\/JPROC.2010.2045092"},{"key":"e_1_2_10_20_2","doi-asserted-by":"publisher","DOI":"10.1109\/TBME.2011.2156795"},{"key":"e_1_2_10_21_2","doi-asserted-by":"crossref","unstructured":"SkosanaV.andAbu-MahfouzA. 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