{"title":"小波变换与时频平面的时变平铺","authors":"K. Nayebi, I. Sodagar, T. Barnwell","doi":"10.1109/TFTSA.1992.274215","DOIUrl":null,"url":null,"abstract":"Time-varying filter banks and wavelets are studied, and a design procedure is presented. In the resulting analysis-synthesis structures, the analysis filters and the corresponding synthesis filters change with time. Equivalently, these structures can be considered as time-frequency transforms with a corresponding time-varying tiling of the time-frequency plane and with corresponding time-varying basis functions. This formulation is based on the time domain analysis of the time-varying analysis-synthesis structures. The design procedure can be used to design time-varying perfectly invertible transformations with a finite number of distinct analysis structures.<<ETX>>","PeriodicalId":105228,"journal":{"name":"[1992] Proceedings of the IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis","volume":"2 2","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1992-10-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"8","resultStr":"{\"title\":\"The wavelet transform and time-varying tiling of the time-frequency plane\",\"authors\":\"K. Nayebi, I. Sodagar, T. Barnwell\",\"doi\":\"10.1109/TFTSA.1992.274215\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Time-varying filter banks and wavelets are studied, and a design procedure is presented. In the resulting analysis-synthesis structures, the analysis filters and the corresponding synthesis filters change with time. Equivalently, these structures can be considered as time-frequency transforms with a corresponding time-varying tiling of the time-frequency plane and with corresponding time-varying basis functions. This formulation is based on the time domain analysis of the time-varying analysis-synthesis structures. The design procedure can be used to design time-varying perfectly invertible transformations with a finite number of distinct analysis structures.<<ETX>>\",\"PeriodicalId\":105228,\"journal\":{\"name\":\"[1992] Proceedings of the IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis\",\"volume\":\"2 2\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1992-10-04\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"8\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"[1992] Proceedings of the IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/TFTSA.1992.274215\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"[1992] Proceedings of the IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/TFTSA.1992.274215","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
The wavelet transform and time-varying tiling of the time-frequency plane
Time-varying filter banks and wavelets are studied, and a design procedure is presented. In the resulting analysis-synthesis structures, the analysis filters and the corresponding synthesis filters change with time. Equivalently, these structures can be considered as time-frequency transforms with a corresponding time-varying tiling of the time-frequency plane and with corresponding time-varying basis functions. This formulation is based on the time domain analysis of the time-varying analysis-synthesis structures. The design procedure can be used to design time-varying perfectly invertible transformations with a finite number of distinct analysis structures.<>