{"title":"和和积函数谱的计算","authors":"J. Muzio","doi":"10.1049/IJ-CDT:19780031","DOIUrl":null,"url":null,"abstract":"The derivation is given of a simple compact form for evaluating the spectra for the sum and product of two functions in terms of their individual spectra alone. The method avoids the reintroduction of the transform. The results are extended to include the exclusive-OR function and are easily applied for the computation of the spectra of more complex Boolean functions in terms of their individual spectra.","PeriodicalId":344610,"journal":{"name":"Iee Journal on Computers and Digital Techniques","volume":"24 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1978-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"6","resultStr":"{\"title\":\"Evaluation of the spectra of sum and product functions\",\"authors\":\"J. Muzio\",\"doi\":\"10.1049/IJ-CDT:19780031\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The derivation is given of a simple compact form for evaluating the spectra for the sum and product of two functions in terms of their individual spectra alone. The method avoids the reintroduction of the transform. The results are extended to include the exclusive-OR function and are easily applied for the computation of the spectra of more complex Boolean functions in terms of their individual spectra.\",\"PeriodicalId\":344610,\"journal\":{\"name\":\"Iee Journal on Computers and Digital Techniques\",\"volume\":\"24 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1978-08-01\",\"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:19780031\",\"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:19780031","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Evaluation of the spectra of sum and product functions
The derivation is given of a simple compact form for evaluating the spectra for the sum and product of two functions in terms of their individual spectra alone. The method avoids the reintroduction of the transform. The results are extended to include the exclusive-OR function and are easily applied for the computation of the spectra of more complex Boolean functions in terms of their individual spectra.