{"title":"高维信号处理","authors":"A. Lohmann","doi":"10.1364/srs.1989.wa1","DOIUrl":null,"url":null,"abstract":"Suppose the signal is u(t). Two examples of representations in artifical and/or higher dimensions are the autocorrelation: and the (auto-)triple correlation: Isn't it masochistic to deal with these indirect representations of the signal instead of with the signal u(t) itself? The triple correlation is an example of artificial increase of dimensionality. The signal u(t) is ID, the triple correlation u3(t1,t2) is 2D.","PeriodicalId":193110,"journal":{"name":"Signal Recovery and Synthesis III","volume":"23 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Signal Processing in Higher Dimensions\",\"authors\":\"A. Lohmann\",\"doi\":\"10.1364/srs.1989.wa1\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Suppose the signal is u(t). Two examples of representations in artifical and/or higher dimensions are the autocorrelation: and the (auto-)triple correlation: Isn't it masochistic to deal with these indirect representations of the signal instead of with the signal u(t) itself? The triple correlation is an example of artificial increase of dimensionality. The signal u(t) is ID, the triple correlation u3(t1,t2) is 2D.\",\"PeriodicalId\":193110,\"journal\":{\"name\":\"Signal Recovery and Synthesis III\",\"volume\":\"23 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1900-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Signal Recovery and Synthesis III\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1364/srs.1989.wa1\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Signal Recovery and Synthesis III","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1364/srs.1989.wa1","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Suppose the signal is u(t). Two examples of representations in artifical and/or higher dimensions are the autocorrelation: and the (auto-)triple correlation: Isn't it masochistic to deal with these indirect representations of the signal instead of with the signal u(t) itself? The triple correlation is an example of artificial increase of dimensionality. The signal u(t) is ID, the triple correlation u3(t1,t2) is 2D.
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