{"title":"高速卷积和相关","authors":"T. Stockham","doi":"10.1145/1464182.1464209","DOIUrl":null,"url":null,"abstract":"Cooley and Tukey have disclosed a procedure for synthesizing and analyzing Fourier series for discrete periodic complex functions. For functions of period <i>N</i>, where <i>N</i> is a power of 2, computation times are proportional to <i>N</i> log<sub>2</sub> <i>N</i> as expressed in Eq. (0).","PeriodicalId":158826,"journal":{"name":"AFIPS '66 (Spring)","volume":"21 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1966-04-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"363","resultStr":"{\"title\":\"High-speed convolution and correlation\",\"authors\":\"T. Stockham\",\"doi\":\"10.1145/1464182.1464209\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Cooley and Tukey have disclosed a procedure for synthesizing and analyzing Fourier series for discrete periodic complex functions. For functions of period <i>N</i>, where <i>N</i> is a power of 2, computation times are proportional to <i>N</i> log<sub>2</sub> <i>N</i> as expressed in Eq. (0).\",\"PeriodicalId\":158826,\"journal\":{\"name\":\"AFIPS '66 (Spring)\",\"volume\":\"21 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1966-04-26\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"363\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"AFIPS '66 (Spring)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1145/1464182.1464209\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"AFIPS '66 (Spring)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1145/1464182.1464209","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Cooley and Tukey have disclosed a procedure for synthesizing and analyzing Fourier series for discrete periodic complex functions. For functions of period N, where N is a power of 2, computation times are proportional to N log2N as expressed in Eq. (0).
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