{"title":"无乘法器近似线性相位格波数字滤波器的设计算法","authors":"J. Yli-Kaakinen, T. Saramäki","doi":"10.1109/ISCAS.2000.856262","DOIUrl":null,"url":null,"abstract":"This paper describes an efficient algorithm for the design of multiplierless approximately linear-phase lattice wave digital (LWD) filters (parallel connection of two all-pass filters). The coefficient optimization is performed in two basic steps. First, a nonlinear optimization algorithm is used for determining a parameter space of the finite-precision coefficients including the feasible space where the filter meets the given amplitude and phase specifications. The second step involves finding the filter parameters in this space such that the resulting filter meets the given criteria with the simplest coefficient representation forms. The proposed algorithm guarantees that the optimum multiplierless finite-wordlength solution can be found. This is illustrated by means of an example.","PeriodicalId":6422,"journal":{"name":"2000 IEEE International Symposium on Circuits and Systems. Emerging Technologies for the 21st Century. Proceedings (IEEE Cat No.00CH36353)","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2000-05-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"30","resultStr":"{\"title\":\"An algorithm for the design of multiplierless approximately linear-phase lattice-wave digital filters\",\"authors\":\"J. Yli-Kaakinen, T. Saramäki\",\"doi\":\"10.1109/ISCAS.2000.856262\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper describes an efficient algorithm for the design of multiplierless approximately linear-phase lattice wave digital (LWD) filters (parallel connection of two all-pass filters). The coefficient optimization is performed in two basic steps. First, a nonlinear optimization algorithm is used for determining a parameter space of the finite-precision coefficients including the feasible space where the filter meets the given amplitude and phase specifications. The second step involves finding the filter parameters in this space such that the resulting filter meets the given criteria with the simplest coefficient representation forms. The proposed algorithm guarantees that the optimum multiplierless finite-wordlength solution can be found. This is illustrated by means of an example.\",\"PeriodicalId\":6422,\"journal\":{\"name\":\"2000 IEEE International Symposium on Circuits and Systems. Emerging Technologies for the 21st Century. Proceedings (IEEE Cat No.00CH36353)\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2000-05-28\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"30\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2000 IEEE International Symposium on Circuits and Systems. Emerging Technologies for the 21st Century. Proceedings (IEEE Cat No.00CH36353)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ISCAS.2000.856262\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2000 IEEE International Symposium on Circuits and Systems. Emerging Technologies for the 21st Century. Proceedings (IEEE Cat No.00CH36353)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ISCAS.2000.856262","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
An algorithm for the design of multiplierless approximately linear-phase lattice-wave digital filters
This paper describes an efficient algorithm for the design of multiplierless approximately linear-phase lattice wave digital (LWD) filters (parallel connection of two all-pass filters). The coefficient optimization is performed in two basic steps. First, a nonlinear optimization algorithm is used for determining a parameter space of the finite-precision coefficients including the feasible space where the filter meets the given amplitude and phase specifications. The second step involves finding the filter parameters in this space such that the resulting filter meets the given criteria with the simplest coefficient representation forms. The proposed algorithm guarantees that the optimum multiplierless finite-wordlength solution can be found. This is illustrated by means of an example.