{"title":"Complex coefficient adaptive IIR notch filter tracking characteristics","authors":"A. Mvuma, S. Nishimura, T. Hinamoto","doi":"10.1109/MWSCAS.2009.5236013","DOIUrl":null,"url":null,"abstract":"This paper investigates tracking characteristics of a complex-coefficient adaptive infinite-impulse response (IIR) notch filter with a gradient-based algorithm. Two cases are investigated, i.e., linear chirp and randomly-varying frequency input complex signals buried in a complex zero-mean white Gaussian noise. First-order real-coefficient difference equations with respect to steady-state instantaneous frequency tracking error are derived. Closed-form expressions for frequency tracking mean square error (MSE) are derived from the difference equations. In addition, closed-form expressions for optimum notch bandwidth coefficient and step size constant are presented. Computer simulations are included to validate the analyses.","PeriodicalId":254577,"journal":{"name":"2009 52nd IEEE International Midwest Symposium on Circuits and Systems","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2009-09-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"4","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2009 52nd IEEE International Midwest Symposium on Circuits and Systems","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/MWSCAS.2009.5236013","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 4
Abstract
This paper investigates tracking characteristics of a complex-coefficient adaptive infinite-impulse response (IIR) notch filter with a gradient-based algorithm. Two cases are investigated, i.e., linear chirp and randomly-varying frequency input complex signals buried in a complex zero-mean white Gaussian noise. First-order real-coefficient difference equations with respect to steady-state instantaneous frequency tracking error are derived. Closed-form expressions for frequency tracking mean square error (MSE) are derived from the difference equations. In addition, closed-form expressions for optimum notch bandwidth coefficient and step size constant are presented. Computer simulations are included to validate the analyses.
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