{"title":"时频表示及其结构","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":"{\"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}","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}
Time-frequency representations and their structure
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.