{"title":"统一复Hadamard变换的广义复谱决策图","authors":"S. Rahardja, S. Xie","doi":"10.1109/ISMVL.2003.1201433","DOIUrl":null,"url":null,"abstract":"This paper focuses on the study of different decision diagrams for representations of binary and multiple-valued functions using both the unified complex Hadamard transforms (UCHTs) whose transformation matrices contain elements /spl plusmn/1 and /spl plusmn/i and their Spectra. Types of the underlying decision diagrams are: hybrid decision diagrams, complex multi-terminal decision diagrams, complex algebraic decision diagrams, real and imaginary decision diagrams. Since UCHT unifies sixty-four different complex Hadamard transformation, it can provide a unified complex Hadamard spectral transform decision diagram. These more general complex Hadamard spectral decision diagrams generalize all results in [3, 4].","PeriodicalId":434515,"journal":{"name":"33rd International Symposium on Multiple-Valued Logic, 2003. Proceedings.","volume":"2 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2003-05-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Generalized complex spectral decision diagrams using unified complex Hadamard transform\",\"authors\":\"S. Rahardja, S. Xie\",\"doi\":\"10.1109/ISMVL.2003.1201433\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper focuses on the study of different decision diagrams for representations of binary and multiple-valued functions using both the unified complex Hadamard transforms (UCHTs) whose transformation matrices contain elements /spl plusmn/1 and /spl plusmn/i and their Spectra. Types of the underlying decision diagrams are: hybrid decision diagrams, complex multi-terminal decision diagrams, complex algebraic decision diagrams, real and imaginary decision diagrams. Since UCHT unifies sixty-four different complex Hadamard transformation, it can provide a unified complex Hadamard spectral transform decision diagram. These more general complex Hadamard spectral decision diagrams generalize all results in [3, 4].\",\"PeriodicalId\":434515,\"journal\":{\"name\":\"33rd International Symposium on Multiple-Valued Logic, 2003. Proceedings.\",\"volume\":\"2 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2003-05-16\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"33rd International Symposium on Multiple-Valued Logic, 2003. Proceedings.\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ISMVL.2003.1201433\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"33rd International Symposium on Multiple-Valued Logic, 2003. Proceedings.","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ISMVL.2003.1201433","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Generalized complex spectral decision diagrams using unified complex Hadamard transform
This paper focuses on the study of different decision diagrams for representations of binary and multiple-valued functions using both the unified complex Hadamard transforms (UCHTs) whose transformation matrices contain elements /spl plusmn/1 and /spl plusmn/i and their Spectra. Types of the underlying decision diagrams are: hybrid decision diagrams, complex multi-terminal decision diagrams, complex algebraic decision diagrams, real and imaginary decision diagrams. Since UCHT unifies sixty-four different complex Hadamard transformation, it can provide a unified complex Hadamard spectral transform decision diagram. These more general complex Hadamard spectral decision diagrams generalize all results in [3, 4].