{"title":"非线性相位准酉滤波器组的非扩展卷积及其在图像编码中的应用","authors":"Y. Tanaka, A. Ochi, M. Ikehara","doi":"10.1109/ACSSC.2005.1599700","DOIUrl":null,"url":null,"abstract":"This paper proposes a new non-expansive convolution for nonlinear-phase paraunitary filter banks (NLPPUFBs). First, we present that any NLPPUFBs can be implemented by connecting several block transforms. Next, we show a signal extension method at the analysis bank by exploiting the characteristics of that structure. Furthermore, we prove that the signal can be reconstructed at the synthesis bank without any redundant signals. Finally, we apply the proposed extension to image coding to validate our method","PeriodicalId":326489,"journal":{"name":"Conference Record of the Thirty-Ninth Asilomar Conference onSignals, Systems and Computers, 2005.","volume":"12 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2005-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"4","resultStr":"{\"title\":\"A Non-Expansive Convolution for Nonlinear-Phase Paraunitary Filter Banks and Its Application to Image Coding\",\"authors\":\"Y. Tanaka, A. Ochi, M. Ikehara\",\"doi\":\"10.1109/ACSSC.2005.1599700\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper proposes a new non-expansive convolution for nonlinear-phase paraunitary filter banks (NLPPUFBs). First, we present that any NLPPUFBs can be implemented by connecting several block transforms. Next, we show a signal extension method at the analysis bank by exploiting the characteristics of that structure. Furthermore, we prove that the signal can be reconstructed at the synthesis bank without any redundant signals. Finally, we apply the proposed extension to image coding to validate our method\",\"PeriodicalId\":326489,\"journal\":{\"name\":\"Conference Record of the Thirty-Ninth Asilomar Conference onSignals, Systems and Computers, 2005.\",\"volume\":\"12 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2005-07-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"4\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Conference Record of the Thirty-Ninth Asilomar Conference onSignals, Systems and Computers, 2005.\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ACSSC.2005.1599700\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Conference Record of the Thirty-Ninth Asilomar Conference onSignals, Systems and Computers, 2005.","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ACSSC.2005.1599700","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A Non-Expansive Convolution for Nonlinear-Phase Paraunitary Filter Banks and Its Application to Image Coding
This paper proposes a new non-expansive convolution for nonlinear-phase paraunitary filter banks (NLPPUFBs). First, we present that any NLPPUFBs can be implemented by connecting several block transforms. Next, we show a signal extension method at the analysis bank by exploiting the characteristics of that structure. Furthermore, we prove that the signal can be reconstructed at the synthesis bank without any redundant signals. Finally, we apply the proposed extension to image coding to validate our method
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