{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T04:15:03Z","timestamp":1760242503635,"version":"build-2065373602"},"reference-count":48,"publisher":"MDPI AG","issue":"8","license":[{"start":{"date-parts":[[2017,7,27]],"date-time":"2017-07-27T00:00:00Z","timestamp":1501113600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>A joint-optimization method is proposed for enhancing the behavior of the     l 1    -norm- and sum-log norm-penalized NLMS algorithms to meet the requirements of sparse adaptive channel estimations. The improved channel estimation algorithms are realized by using a state stable model to implement a joint-optimization problem to give a proper trade-off between the convergence and the channel estimation behavior. The joint-optimization problem is to optimize the step size and regularization parameters for minimizing the estimation bias of the channel. Numerical results achieved from a broadband sparse channel estimation are given to indicate the good behavior of the developed joint-optimized NLMS algorithms by comparison with the previously proposed     l 1    -norm- and sum-log norm-penalized NLMS and least mean square (LMS) algorithms.<\/jats:p>","DOI":"10.3390\/sym9080133","type":"journal-article","created":{"date-parts":[[2017,7,27]],"date-time":"2017-07-27T11:28:40Z","timestamp":1501154920000},"page":"133","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":6,"title":["Norm Penalized Joint-Optimization NLMS Algorithms for Broadband Sparse Adaptive Channel Estimation"],"prefix":"10.3390","volume":"9","author":[{"given":"Yanyan","family":"Wang","sequence":"first","affiliation":[{"name":"College of Information and Communications Engineering, Harbin Engineering University, Harbin 150001, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2450-6028","authenticated-orcid":false,"given":"Yingsong","family":"Li","sequence":"additional","affiliation":[{"name":"College of Information and Communications Engineering, Harbin Engineering University, Harbin 150001, China"},{"name":"National Space Science Center, Chinese Academy of Sciences, Beijing 100190, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2017,7,27]]},"reference":[{"doi-asserted-by":"crossref","unstructured":"Korowajczuk, L. 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