{"title":"哈尔谱与二值判据正、反变换的有效算法","authors":"B. Falkowski, Chip-Hong Chang","doi":"10.1109/PCCC.1994.504160","DOIUrl":null,"url":null,"abstract":"An algorithm has been developed to calculate the Haar transform of Boolean functions from their Binary Decision Diagram (BDD) representation. The method of decomposition of Haar spectral coefficients in terms of the cofactors of Boolean functions that resembles known Shannon decomposition of such functions has been introduced. Based on the above decomposition, a second new algorithm is presented to synthesize ordered Binary Decision Diagram directly from Haar spectrum of Boolean functions.","PeriodicalId":203232,"journal":{"name":"Proceeding of 13th IEEE Annual International Phoenix Conference on Computers and Communications","volume":"11 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1994-04-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"16","resultStr":"{\"title\":\"Efficient Algorithms for Forward and Inverse Transformations between Haar Spectrum and Binary Decisi\",\"authors\":\"B. Falkowski, Chip-Hong Chang\",\"doi\":\"10.1109/PCCC.1994.504160\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"An algorithm has been developed to calculate the Haar transform of Boolean functions from their Binary Decision Diagram (BDD) representation. The method of decomposition of Haar spectral coefficients in terms of the cofactors of Boolean functions that resembles known Shannon decomposition of such functions has been introduced. Based on the above decomposition, a second new algorithm is presented to synthesize ordered Binary Decision Diagram directly from Haar spectrum of Boolean functions.\",\"PeriodicalId\":203232,\"journal\":{\"name\":\"Proceeding of 13th IEEE Annual International Phoenix Conference on Computers and Communications\",\"volume\":\"11 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1994-04-12\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"16\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceeding of 13th IEEE Annual International Phoenix Conference on Computers and Communications\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/PCCC.1994.504160\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceeding of 13th IEEE Annual International Phoenix Conference on Computers and Communications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/PCCC.1994.504160","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Efficient Algorithms for Forward and Inverse Transformations between Haar Spectrum and Binary Decisi
An algorithm has been developed to calculate the Haar transform of Boolean functions from their Binary Decision Diagram (BDD) representation. The method of decomposition of Haar spectral coefficients in terms of the cofactors of Boolean functions that resembles known Shannon decomposition of such functions has been introduced. Based on the above decomposition, a second new algorithm is presented to synthesize ordered Binary Decision Diagram directly from Haar spectrum of Boolean functions.