{"title":"离散W变换(DWT)变元的对偶性","authors":"B. N. Madhukar, S. Bharathi","doi":"10.1109/DISCOVER47552.2019.9008000","DOIUrl":null,"url":null,"abstract":"This paper gives the derivations of new duality properties for the four variants of the DWT. DWT and its variants are finite durational discrete transforms that are used in a host of applications in the fields of Digital Signal Processing, Digital Image Processing, Communication Systems, among a host of others. The Duality properties can be applied for the computation of the temporal signal from its frequency-domain counterpart or contra if and only if existing pair of DWT, including their counterparts, are known. The utility of the Duality properties lie in the abatement of computational complexity and disbursement intrinsically.","PeriodicalId":274260,"journal":{"name":"2019 IEEE International Conference on Distributed Computing, VLSI, Electrical Circuits and Robotics (DISCOVER)","volume":"73 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2019-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Duality properties for the variants of the Discrete W Transform (DWT)\",\"authors\":\"B. N. Madhukar, S. Bharathi\",\"doi\":\"10.1109/DISCOVER47552.2019.9008000\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper gives the derivations of new duality properties for the four variants of the DWT. DWT and its variants are finite durational discrete transforms that are used in a host of applications in the fields of Digital Signal Processing, Digital Image Processing, Communication Systems, among a host of others. The Duality properties can be applied for the computation of the temporal signal from its frequency-domain counterpart or contra if and only if existing pair of DWT, including their counterparts, are known. The utility of the Duality properties lie in the abatement of computational complexity and disbursement intrinsically.\",\"PeriodicalId\":274260,\"journal\":{\"name\":\"2019 IEEE International Conference on Distributed Computing, VLSI, Electrical Circuits and Robotics (DISCOVER)\",\"volume\":\"73 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2019-08-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2019 IEEE International Conference on Distributed Computing, VLSI, Electrical Circuits and Robotics (DISCOVER)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/DISCOVER47552.2019.9008000\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2019 IEEE International Conference on Distributed Computing, VLSI, Electrical Circuits and Robotics (DISCOVER)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/DISCOVER47552.2019.9008000","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Duality properties for the variants of the Discrete W Transform (DWT)
This paper gives the derivations of new duality properties for the four variants of the DWT. DWT and its variants are finite durational discrete transforms that are used in a host of applications in the fields of Digital Signal Processing, Digital Image Processing, Communication Systems, among a host of others. The Duality properties can be applied for the computation of the temporal signal from its frequency-domain counterpart or contra if and only if existing pair of DWT, including their counterparts, are known. The utility of the Duality properties lie in the abatement of computational complexity and disbursement intrinsically.