{"title":"4D FIR数字滤波器的实现","authors":"M. Kousoulis, G. Antoniou","doi":"10.1109/LASCAS.2014.6820246","DOIUrl":null,"url":null,"abstract":"This paper proposes generalized circuit and state space realizations for four-dimensional (4D) Finite Impulse Response (FIR) filters. Specifically, lattice and direct-form filter structures are considered. The 4D circuit realizations utilize, for their implementation, a minimum number of delay elements. Further, the dimensions of the state-space vector, of the formulated 4D state space models, are minimal. Examples are given to demonstrate the minimality of their circuit and state-space realizations.","PeriodicalId":235336,"journal":{"name":"2014 IEEE 5th Latin American Symposium on Circuits and Systems","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2014-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"7","resultStr":"{\"title\":\"4D FIR digital filter realizations\",\"authors\":\"M. Kousoulis, G. Antoniou\",\"doi\":\"10.1109/LASCAS.2014.6820246\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper proposes generalized circuit and state space realizations for four-dimensional (4D) Finite Impulse Response (FIR) filters. Specifically, lattice and direct-form filter structures are considered. The 4D circuit realizations utilize, for their implementation, a minimum number of delay elements. Further, the dimensions of the state-space vector, of the formulated 4D state space models, are minimal. Examples are given to demonstrate the minimality of their circuit and state-space realizations.\",\"PeriodicalId\":235336,\"journal\":{\"name\":\"2014 IEEE 5th Latin American Symposium on Circuits and Systems\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2014-02-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"7\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2014 IEEE 5th Latin American Symposium on Circuits and Systems\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/LASCAS.2014.6820246\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2014 IEEE 5th Latin American Symposium on Circuits and Systems","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/LASCAS.2014.6820246","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
This paper proposes generalized circuit and state space realizations for four-dimensional (4D) Finite Impulse Response (FIR) filters. Specifically, lattice and direct-form filter structures are considered. The 4D circuit realizations utilize, for their implementation, a minimum number of delay elements. Further, the dimensions of the state-space vector, of the formulated 4D state space models, are minimal. Examples are given to demonstrate the minimality of their circuit and state-space realizations.