{"title":"具有比例均方误差失真测量的速率失真函数","authors":"J. Binia","doi":"10.1109/ISIT.2008.4595109","DOIUrl":null,"url":null,"abstract":"New bounds on the rate distortion function of certain stationary time-discrete and time-continuous sources, with a proportional-weighted mean-square error (MSE) distortion measure, are given. The growth, g, of the rate distortion function, as a result of changing from a non-weighted MSE distortion measure to a proportional-weighted distortion criterion is analyzed. It is shown in the time-discrete case that for a small distortion d, the growth g, and the difference between the rate distortion functions of a Gaussian, memoryless source and a source with memory, both with the same marginal statistics and MSE distortion measure, share the same upper bound.","PeriodicalId":194674,"journal":{"name":"2008 IEEE International Symposium on Information Theory","volume":"46 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2008-07-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Rate distortion function with a proportional mean-square error distortion measure\",\"authors\":\"J. Binia\",\"doi\":\"10.1109/ISIT.2008.4595109\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"New bounds on the rate distortion function of certain stationary time-discrete and time-continuous sources, with a proportional-weighted mean-square error (MSE) distortion measure, are given. The growth, g, of the rate distortion function, as a result of changing from a non-weighted MSE distortion measure to a proportional-weighted distortion criterion is analyzed. It is shown in the time-discrete case that for a small distortion d, the growth g, and the difference between the rate distortion functions of a Gaussian, memoryless source and a source with memory, both with the same marginal statistics and MSE distortion measure, share the same upper bound.\",\"PeriodicalId\":194674,\"journal\":{\"name\":\"2008 IEEE International Symposium on Information Theory\",\"volume\":\"46 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2008-07-06\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2008 IEEE International Symposium on Information Theory\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ISIT.2008.4595109\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2008 IEEE International Symposium on Information Theory","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ISIT.2008.4595109","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Rate distortion function with a proportional mean-square error distortion measure
New bounds on the rate distortion function of certain stationary time-discrete and time-continuous sources, with a proportional-weighted mean-square error (MSE) distortion measure, are given. The growth, g, of the rate distortion function, as a result of changing from a non-weighted MSE distortion measure to a proportional-weighted distortion criterion is analyzed. It is shown in the time-discrete case that for a small distortion d, the growth g, and the difference between the rate distortion functions of a Gaussian, memoryless source and a source with memory, both with the same marginal statistics and MSE distortion measure, share the same upper bound.
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