{"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}
引用次数: 7
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.