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We establish the algorithm and demonstrate its convergence, as well as its efficiency for a class of functions that can be expanded as exponential functions. We provide simulation results to validate our numerical results.<\/jats:p>","DOI":"10.1002\/cta.4548","type":"journal-article","created":{"date-parts":[[2025,4,14]],"date-time":"2025-04-14T03:53:26Z","timestamp":1744602806000},"page":"6856-6868","update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["A Novel Wavelet\u2010Base Algorithm for Reconstruction of the Time\u2010Domain Impulse Response From Band\u2010Limited Scattering Parameters With Applications"],"prefix":"10.1002","volume":"53","author":[{"given":"Shantia","family":"Yarahmadian","sequence":"first","affiliation":[{"name":"Department of Mathematics and Statistics Mississippi State University  Starkville Mississippi USA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8183-5066","authenticated-orcid":false,"given":"Maryam","family":"Rahmani","sequence":"additional","affiliation":[{"name":"Goddard Space Flight Center (GSFC) National Aeronautics and Space Administration (NASA)  Greenbelt Maryland USA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Michael\u00a0S.","family":"Mazzola","sequence":"additional","affiliation":[{"name":"Future Use of Energy in Louisiana (FUEL) Louisiana State University (LSU)  Baton Rouge Louisiana USA"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2025,4,14]]},"reference":[{"key":"e_1_2_14_2_1","unstructured":"M. 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