{"title":"Fast generalized arithmetic and adding transforms","authors":"B. Falkowski, Chip-Hong Chang","doi":"10.1109/ASPDAC.1995.486394","DOIUrl":null,"url":null,"abstract":"Methods of generating forward and inverse transformation kernels for generalized arithmetic and adding transforms are presented. Different methods of generation of transformation matrices in arbitrary polarities from a transformation matrix in some polarity are developed. Mutual relations among transformation matrices and spectra for arbitrary polarities are also investigated. A unified approach to the fast arithmetic and adding algorithms based on the representation of transform matrices in the form of layered Kronecker matrices is developed.","PeriodicalId":119232,"journal":{"name":"Proceedings of ASP-DAC'95/CHDL'95/VLSI'95 with EDA Technofair","volume":"188 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1995-08-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"10","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of ASP-DAC'95/CHDL'95/VLSI'95 with EDA Technofair","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ASPDAC.1995.486394","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 10
Abstract
Methods of generating forward and inverse transformation kernels for generalized arithmetic and adding transforms are presented. Different methods of generation of transformation matrices in arbitrary polarities from a transformation matrix in some polarity are developed. Mutual relations among transformation matrices and spectra for arbitrary polarities are also investigated. A unified approach to the fast arithmetic and adding algorithms based on the representation of transform matrices in the form of layered Kronecker matrices is developed.
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