{"title":"Frequency dependent convergence rate of FXLMS in narrowband active noise control systems","authors":"Antonius Siswanto, Cheng-Yuan Chang","doi":"10.1016/j.jsv.2025.118988","DOIUrl":null,"url":null,"abstract":"<div><div>Direct, parallel, and direct/parallel form narrowband active noise control (NANC) systems use single or multiple adaptive filters adapted by the filtered-x least mean square (FXLMS) algorithms to cancel narrowband noises at several distinct frequencies. This paper analyzes the effects of the narrowband noises’ frequencies on the convergence rates of the FXLMS algorithms used in the direct, parallel, and direct/parallel form NANC systems. Theoretical analysis shows that the convergence rates for the given filter lengths are frequency dependent. This paper also establishes the conditions to achieve fast convergence for the NANC systems. Computer simulations verify the theoretical analysis.</div></div>","PeriodicalId":17233,"journal":{"name":"Journal of Sound and Vibration","volume":"604 ","pages":"Article 118988"},"PeriodicalIF":4.9000,"publicationDate":"2025-05-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Sound and Vibration","FirstCategoryId":"5","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0022460X25000628","RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"2025/1/28 0:00:00","PubModel":"Epub","JCR":"Q1","JCRName":"ACOUSTICS","Score":null,"Total":0}
引用次数: 0
Abstract
Direct, parallel, and direct/parallel form narrowband active noise control (NANC) systems use single or multiple adaptive filters adapted by the filtered-x least mean square (FXLMS) algorithms to cancel narrowband noises at several distinct frequencies. This paper analyzes the effects of the narrowband noises’ frequencies on the convergence rates of the FXLMS algorithms used in the direct, parallel, and direct/parallel form NANC systems. Theoretical analysis shows that the convergence rates for the given filter lengths are frequency dependent. This paper also establishes the conditions to achieve fast convergence for the NANC systems. Computer simulations verify the theoretical analysis.
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The Journal of Sound and Vibration (JSV) is an independent journal devoted to the prompt publication of original papers, both theoretical and experimental, that provide new information on any aspect of sound or vibration. There is an emphasis on fundamental work that has potential for practical application.
JSV was founded and operates on the premise that the subject of sound and vibration requires a journal that publishes papers of a high technical standard across the various subdisciplines, thus facilitating awareness of techniques and discoveries in one area that may be applicable in others.
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