{"title":"快速广义算术和加法变换","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":"{\"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}","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}
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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