{"title":"Stable critically-sampled Gabor transform with localized biorthogonal function","authors":"O. A. Ahmed, M. M. Fahmy","doi":"10.1109/TFSA.1998.721355","DOIUrl":null,"url":null,"abstract":"In this paper, a new critically-sampled Gabor transform is presented. This transform, unlike all currently available critically-sampled Gabor transforms, leads to a stable transform. In addition, the resulting biorthogonal function, which is unique in the critical sampling case, is well localized in both time and frequency. It thus overcomes the main two problems of previous transforms.","PeriodicalId":395542,"journal":{"name":"Proceedings of the IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis (Cat. No.98TH8380)","volume":"9 7 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1998-10-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"8","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of the IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis (Cat. No.98TH8380)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/TFSA.1998.721355","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 8
Abstract
In this paper, a new critically-sampled Gabor transform is presented. This transform, unlike all currently available critically-sampled Gabor transforms, leads to a stable transform. In addition, the resulting biorthogonal function, which is unique in the critical sampling case, is well localized in both time and frequency. It thus overcomes the main two problems of previous transforms.