{"title":"变延迟二进小波","authors":"Truong Q. Nguyen","doi":"10.1109/TFSA.1996.547474","DOIUrl":null,"url":null,"abstract":"Signal processing based on the wavelet transform is a new tool for signal approximation. It finds applications in signal compression, adaptation, classification and enhancement. The overall delay in a conventional wavelet system is fixed since it depends on the symmetry point of a linear-phase halfband filter. In this paper, we introduce the theory and design of a new filter bank and wavelet system where the overall delay can be any odd integer. The resulting wavelet is biorthogonal. This new wavelet is crucial in applications where the delay time is important.","PeriodicalId":415923,"journal":{"name":"Proceedings of Third International Symposium on Time-Frequency and Time-Scale Analysis (TFTS-96)","volume":"5 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1996-06-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Variable-delay dyadic wavelets\",\"authors\":\"Truong Q. Nguyen\",\"doi\":\"10.1109/TFSA.1996.547474\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Signal processing based on the wavelet transform is a new tool for signal approximation. It finds applications in signal compression, adaptation, classification and enhancement. The overall delay in a conventional wavelet system is fixed since it depends on the symmetry point of a linear-phase halfband filter. In this paper, we introduce the theory and design of a new filter bank and wavelet system where the overall delay can be any odd integer. The resulting wavelet is biorthogonal. This new wavelet is crucial in applications where the delay time is important.\",\"PeriodicalId\":415923,\"journal\":{\"name\":\"Proceedings of Third International Symposium on Time-Frequency and Time-Scale Analysis (TFTS-96)\",\"volume\":\"5 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1996-06-18\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of Third International Symposium on Time-Frequency and Time-Scale Analysis (TFTS-96)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/TFSA.1996.547474\",\"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 Third International Symposium on Time-Frequency and Time-Scale Analysis (TFTS-96)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/TFSA.1996.547474","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Signal processing based on the wavelet transform is a new tool for signal approximation. It finds applications in signal compression, adaptation, classification and enhancement. The overall delay in a conventional wavelet system is fixed since it depends on the symmetry point of a linear-phase halfband filter. In this paper, we introduce the theory and design of a new filter bank and wavelet system where the overall delay can be any odd integer. The resulting wavelet is biorthogonal. This new wavelet is crucial in applications where the delay time is important.