{"title":"广义并矢微分器及其在n空间2值函数中的应用","authors":"C. R. Edwards","doi":"10.1049/IJ-CDT:19780040","DOIUrl":null,"url":null,"abstract":"An operator is described which is directly related to the Boolean difference. It is shown that all orders of Boolean difference may be derived under this operator, in one pass, by a simple manipulation in the Hadamard-transform domain. Application of this method to functions containing intermediate states is considered. The operator is important in the fields of digital-circuit fault diagnosis and synthesis.","PeriodicalId":344610,"journal":{"name":"Iee Journal on Computers and Digital Techniques","volume":"34 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1978-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"6","resultStr":"{\"title\":\"The generalised dyadic differentiator and its application to 2-valued functions defined on an n-space\",\"authors\":\"C. R. Edwards\",\"doi\":\"10.1049/IJ-CDT:19780040\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"An operator is described which is directly related to the Boolean difference. It is shown that all orders of Boolean difference may be derived under this operator, in one pass, by a simple manipulation in the Hadamard-transform domain. Application of this method to functions containing intermediate states is considered. The operator is important in the fields of digital-circuit fault diagnosis and synthesis.\",\"PeriodicalId\":344610,\"journal\":{\"name\":\"Iee Journal on Computers and Digital Techniques\",\"volume\":\"34 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1978-10-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"6\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Iee Journal on Computers and Digital Techniques\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1049/IJ-CDT:19780040\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Iee Journal on Computers and Digital Techniques","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1049/IJ-CDT:19780040","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
The generalised dyadic differentiator and its application to 2-valued functions defined on an n-space
An operator is described which is directly related to the Boolean difference. It is shown that all orders of Boolean difference may be derived under this operator, in one pass, by a simple manipulation in the Hadamard-transform domain. Application of this method to functions containing intermediate states is considered. The operator is important in the fields of digital-circuit fault diagnosis and synthesis.
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