{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,17]],"date-time":"2026-05-17T07:13:58Z","timestamp":1779002038624,"version":"3.51.4"},"reference-count":55,"publisher":"MDPI AG","issue":"19","license":[{"start":{"date-parts":[[2023,10,8]],"date-time":"2023-10-08T00:00:00Z","timestamp":1696723200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100014219","name":"National Science Foundation for Distinguished Young Scholars","doi-asserted-by":"publisher","award":["52201389"],"award-info":[{"award-number":["52201389"]}],"id":[{"id":"10.13039\/501100014219","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100014219","name":"National Science Foundation for Distinguished Young Scholars","doi-asserted-by":"publisher","award":["2022CFB405"],"award-info":[{"award-number":["2022CFB405"]}],"id":[{"id":"10.13039\/501100014219","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Natural Science Foundation of Hubei Province of China","award":["52201389"],"award-info":[{"award-number":["52201389"]}]},{"name":"Natural Science Foundation of Hubei Province of China","award":["2022CFB405"],"award-info":[{"award-number":["2022CFB405"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"<jats:p>Near-field acoustic holography (NAH) based on compressing sensing (CS) theory enables accurate reconstruction of sound fields using a limited number of sampling points. However, the successful implementation of this technique depends on two crucial factors: (1) the appropriate selection or construction of the spatial basis and (2) an effective sparse regularization process. To enhance reconstruction performance for elongated sound sources, this paper proposes a novel sound field reconstruction method that combines prolate spheroidal wave functions (PSWFs) with the orthogonal matching pursuit (OMP) algorithm. In this method, PSWFs serve as a sparse spatial basis for representing the radiated sound field. The sparse coefficients are determined by the OMP algorithm in a linear subspace composed of basic functions that best match the residual error. The OMP algorithm effectively identifies significant components before potentially selecting incorrect ones by setting an appropriate stopping rule. Numerical simulations are conducted using a line-array source model. The results show that the proposed method can accurately reconstruct the sound pressures of the elongated source model using a relatively small number of samplings. In addition, the proposed method exhibits robustness across a wide frequency range, diverse array configurations and various sampling numbers. The experimental results further validate the feasibility and reliability of the proposed method.<\/jats:p>","DOI":"10.3390\/s23198312","type":"journal-article","created":{"date-parts":[[2023,10,9]],"date-time":"2023-10-09T06:16:48Z","timestamp":1696832208000},"page":"8312","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":5,"title":["Sound Field Reconstruction Using Prolate Spheroidal Wave Functions and Sparse Regularization"],"prefix":"10.3390","volume":"23","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-2336-4299","authenticated-orcid":false,"given":"Xuxin","family":"Zhang","sequence":"first","affiliation":[{"name":"College of Power Engineering, Naval University of Engineering, 717 Liberation Avenue, Wuhan 430033, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jingjun","family":"Lou","sequence":"additional","affiliation":[{"name":"College of Naval Architecture and Ocean Engineering, Naval University of Engineering, 717 Liberation Avenue, Wuhan 430033, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Shijian","family":"Zhu","sequence":"additional","affiliation":[{"name":"College of Naval Architecture and Ocean Engineering, Naval University of Engineering, 717 Liberation Avenue, Wuhan 430033, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jinfang","family":"Lu","sequence":"additional","affiliation":[{"name":"College of Power Engineering, Naval University of Engineering, 717 Liberation Avenue, Wuhan 430033, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Ronghua","family":"Li","sequence":"additional","affiliation":[{"name":"College of Power Engineering, Naval University of Engineering, 717 Liberation Avenue, Wuhan 430033, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2023,10,8]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","unstructured":"Williams, E.G. 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