{"title":"Solution of the exercises","authors":"P. Nguyen","doi":"10.1142/9789811248368_0009","DOIUrl":null,"url":null,"abstract":"1 Find the trigonometric functions Note that the Fourier transform can only be computed when the input is squaresummable (finite energy). This is not the case with the tangent. The tangent does not have a maximum or a minimum. Here are some ideas of features which may be useful: • Number of zeros (of times it crosses zero) • Average at different time scales • Some measure of periodicity (e.g. LP coefficients if you are familiar with them)","PeriodicalId":8433,"journal":{"name":"arXiv: Algebraic Topology","volume":"25 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv: Algebraic Topology","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1142/9789811248368_0009","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
1 Find the trigonometric functions Note that the Fourier transform can only be computed when the input is squaresummable (finite energy). This is not the case with the tangent. The tangent does not have a maximum or a minimum. Here are some ideas of features which may be useful: • Number of zeros (of times it crosses zero) • Average at different time scales • Some measure of periodicity (e.g. LP coefficients if you are familiar with them)