{"title":"Time-frequency representations and their structure","authors":"B. Friedlander, L. Scharf","doi":"10.1109/HOST.1997.613493","DOIUrl":null,"url":null,"abstract":"This paper explores the structure of time-frequency representations (TFR) in a discrete time setting. We define a proper TFR to be a function of the signal that has natural time- and frequency-shift properties. We then derive the basic structure of a proper TFR and argue for a quadratic TFR as the simplest form of a proper TFR.","PeriodicalId":305928,"journal":{"name":"Proceedings of the IEEE Signal Processing Workshop on Higher-Order Statistics","volume":"51 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1997-07-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"4","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of the IEEE Signal Processing Workshop on Higher-Order Statistics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/HOST.1997.613493","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 4
Abstract
This paper explores the structure of time-frequency representations (TFR) in a discrete time setting. We define a proper TFR to be a function of the signal that has natural time- and frequency-shift properties. We then derive the basic structure of a proper TFR and argue for a quadratic TFR as the simplest form of a proper TFR.