{"title":"数字滤波器组汉克尔范数降阶设计中的多分量最优","authors":"M. Kagalenko","doi":"10.1109/MECO.2019.8760006","DOIUrl":null,"url":null,"abstract":"We use a novel extension of the Adamyan–Arov–Krein theorem to develop an algorithm for designing banks of digital filters by optimal in the Hankel norm reduction of a reference filter bank's order. Summary of the relevant mathematical background is followed by outline of the numerical implementation. We conclude by presenting an example of designing a bank of bandpass filters for splitting a signal into frequency bands.","PeriodicalId":141324,"journal":{"name":"2019 8th Mediterranean Conference on Embedded Computing (MECO)","volume":"98 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2019-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Multicomponent Optimal in the Hankel Norm Order Reduction for Design of the Digital Filter Banks\",\"authors\":\"M. Kagalenko\",\"doi\":\"10.1109/MECO.2019.8760006\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We use a novel extension of the Adamyan–Arov–Krein theorem to develop an algorithm for designing banks of digital filters by optimal in the Hankel norm reduction of a reference filter bank's order. Summary of the relevant mathematical background is followed by outline of the numerical implementation. We conclude by presenting an example of designing a bank of bandpass filters for splitting a signal into frequency bands.\",\"PeriodicalId\":141324,\"journal\":{\"name\":\"2019 8th Mediterranean Conference on Embedded Computing (MECO)\",\"volume\":\"98 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2019-06-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2019 8th Mediterranean Conference on Embedded Computing (MECO)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/MECO.2019.8760006\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2019 8th Mediterranean Conference on Embedded Computing (MECO)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/MECO.2019.8760006","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Multicomponent Optimal in the Hankel Norm Order Reduction for Design of the Digital Filter Banks
We use a novel extension of the Adamyan–Arov–Krein theorem to develop an algorithm for designing banks of digital filters by optimal in the Hankel norm reduction of a reference filter bank's order. Summary of the relevant mathematical background is followed by outline of the numerical implementation. We conclude by presenting an example of designing a bank of bandpass filters for splitting a signal into frequency bands.
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