{"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}
引用次数: 363
Abstract
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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