{"title":"稳定IIR滤波器的复切比雪夫近似设计","authors":"T. Sugita, N. Aikawa","doi":"10.1109/PACRIM.2001.953695","DOIUrl":null,"url":null,"abstract":"This paper presents a minimax design method of stable IIR digital filters with an arbitrary magnitude and phase response using the successive projection (SP) method. Because the design of IIR filters generally results in a complex approximation problem, the complex approximation problem is converted into a real approximation problem and its problem is solved using the SP method. Then, we use the implications of Rouche's theorem to modify the SP method in such a way that a constraint on the maximum pole radius can be incorporated. Hence, the filters obtained can be guaranteed to be stable and are optimum in the Chebyshev sense.","PeriodicalId":261724,"journal":{"name":"2001 IEEE Pacific Rim Conference on Communications, Computers and Signal Processing (IEEE Cat. No.01CH37233)","volume":"19 2 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2001-08-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"Complex Chebyshev approximation to stable IIR filters design\",\"authors\":\"T. Sugita, N. Aikawa\",\"doi\":\"10.1109/PACRIM.2001.953695\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper presents a minimax design method of stable IIR digital filters with an arbitrary magnitude and phase response using the successive projection (SP) method. Because the design of IIR filters generally results in a complex approximation problem, the complex approximation problem is converted into a real approximation problem and its problem is solved using the SP method. Then, we use the implications of Rouche's theorem to modify the SP method in such a way that a constraint on the maximum pole radius can be incorporated. Hence, the filters obtained can be guaranteed to be stable and are optimum in the Chebyshev sense.\",\"PeriodicalId\":261724,\"journal\":{\"name\":\"2001 IEEE Pacific Rim Conference on Communications, Computers and Signal Processing (IEEE Cat. No.01CH37233)\",\"volume\":\"19 2 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2001-08-26\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2001 IEEE Pacific Rim Conference on Communications, Computers and Signal Processing (IEEE Cat. No.01CH37233)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/PACRIM.2001.953695\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2001 IEEE Pacific Rim Conference on Communications, Computers and Signal Processing (IEEE Cat. No.01CH37233)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/PACRIM.2001.953695","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Complex Chebyshev approximation to stable IIR filters design
This paper presents a minimax design method of stable IIR digital filters with an arbitrary magnitude and phase response using the successive projection (SP) method. Because the design of IIR filters generally results in a complex approximation problem, the complex approximation problem is converted into a real approximation problem and its problem is solved using the SP method. Then, we use the implications of Rouche's theorem to modify the SP method in such a way that a constraint on the maximum pole radius can be incorporated. Hence, the filters obtained can be guaranteed to be stable and are optimum in the Chebyshev sense.