{"title":"Theory of filter banks over finite fields","authors":"T. Cooklev, A. Nishihara, M. Sablatash","doi":"10.1109/APCCAS.1994.514560","DOIUrl":null,"url":null,"abstract":"The theory of digital filter banks for subband coding is well developed. The purpose of this paper is to develop an analogous framework for the multiresolution analysis of sequences of elements belonging to a finite field. The discussion starts with analysis of decimation and interpolation over finite fields. N-band digital filters are defined over finite fields. Then filter banks are studied. A design theory of orthogonal and biorthogonal filter banks is advanced and examples are given.","PeriodicalId":231368,"journal":{"name":"Proceedings of APCCAS'94 - 1994 Asia Pacific Conference on Circuits and Systems","volume":"5 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1994-12-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"18","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of APCCAS'94 - 1994 Asia Pacific Conference on Circuits and Systems","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/APCCAS.1994.514560","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 18
Abstract
The theory of digital filter banks for subband coding is well developed. The purpose of this paper is to develop an analogous framework for the multiresolution analysis of sequences of elements belonging to a finite field. The discussion starts with analysis of decimation and interpolation over finite fields. N-band digital filters are defined over finite fields. Then filter banks are studied. A design theory of orthogonal and biorthogonal filter banks is advanced and examples are given.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
