{"title":"一种计算N - A 2次幂下二维UMRT正逆的新算法","authors":"P. Basu, V. Bhadran, R. Gopikakumari","doi":"10.1109/EPSCICON.2012.6175226","DOIUrl":null,"url":null,"abstract":"MRT (Mapped Real Transform) is an evolving transform that helps in frequency domain analysis of 2-dimensional signals without any complex operations but in terms of real additions alone. The MRT mapping is highly redundant. A compact unique MRT (UMRT) representation can be derived by eliminating the redundant elements present in the MRT representation. A new approach is presented to compute and place the UMRT coefficients directly from the data, without computing MRT. A new algorithm for computing inverse UMRT is also proposed.","PeriodicalId":143947,"journal":{"name":"2012 International Conference on Power, Signals, Controls and Computation","volume":"17 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2012-04-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"8","resultStr":"{\"title\":\"A new algorithm to compute forward and inverse 2-D UMRT for N — A power of 2\",\"authors\":\"P. Basu, V. Bhadran, R. Gopikakumari\",\"doi\":\"10.1109/EPSCICON.2012.6175226\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"MRT (Mapped Real Transform) is an evolving transform that helps in frequency domain analysis of 2-dimensional signals without any complex operations but in terms of real additions alone. The MRT mapping is highly redundant. A compact unique MRT (UMRT) representation can be derived by eliminating the redundant elements present in the MRT representation. A new approach is presented to compute and place the UMRT coefficients directly from the data, without computing MRT. A new algorithm for computing inverse UMRT is also proposed.\",\"PeriodicalId\":143947,\"journal\":{\"name\":\"2012 International Conference on Power, Signals, Controls and Computation\",\"volume\":\"17 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2012-04-03\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"8\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2012 International Conference on Power, Signals, Controls and Computation\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/EPSCICON.2012.6175226\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2012 International Conference on Power, Signals, Controls and Computation","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/EPSCICON.2012.6175226","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A new algorithm to compute forward and inverse 2-D UMRT for N — A power of 2
MRT (Mapped Real Transform) is an evolving transform that helps in frequency domain analysis of 2-dimensional signals without any complex operations but in terms of real additions alone. The MRT mapping is highly redundant. A compact unique MRT (UMRT) representation can be derived by eliminating the redundant elements present in the MRT representation. A new approach is presented to compute and place the UMRT coefficients directly from the data, without computing MRT. A new algorithm for computing inverse UMRT is also proposed.
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