{"title":"熵约束标量量化子的结构","authors":"A. Gyorgy, T. Linder","doi":"10.1109/ISIT.2001.935892","DOIUrl":null,"url":null,"abstract":"New results concerning the structure and existence of optimal entropy-constrained scalar quantizers (ECSQs) are presented. One main result shows that for continuous sources and a wide class of distortion measures, any finite-level ECSQ can be replaced by an ECSQ with interval cells which has the same entropy and equal or less distortion. Furthermore, the existence of an optimal ECSQ for an arbitrary entropy constraint is shown under rather general conditions.","PeriodicalId":433761,"journal":{"name":"Proceedings. 2001 IEEE International Symposium on Information Theory (IEEE Cat. No.01CH37252)","volume":"44 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2001-06-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"4","resultStr":"{\"title\":\"On the structure of entropy-constrained scalar quantizers\",\"authors\":\"A. Gyorgy, T. Linder\",\"doi\":\"10.1109/ISIT.2001.935892\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"New results concerning the structure and existence of optimal entropy-constrained scalar quantizers (ECSQs) are presented. One main result shows that for continuous sources and a wide class of distortion measures, any finite-level ECSQ can be replaced by an ECSQ with interval cells which has the same entropy and equal or less distortion. Furthermore, the existence of an optimal ECSQ for an arbitrary entropy constraint is shown under rather general conditions.\",\"PeriodicalId\":433761,\"journal\":{\"name\":\"Proceedings. 2001 IEEE International Symposium on Information Theory (IEEE Cat. No.01CH37252)\",\"volume\":\"44 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2001-06-24\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"4\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings. 2001 IEEE International Symposium on Information Theory (IEEE Cat. No.01CH37252)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ISIT.2001.935892\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings. 2001 IEEE International Symposium on Information Theory (IEEE Cat. No.01CH37252)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ISIT.2001.935892","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
On the structure of entropy-constrained scalar quantizers
New results concerning the structure and existence of optimal entropy-constrained scalar quantizers (ECSQs) are presented. One main result shows that for continuous sources and a wide class of distortion measures, any finite-level ECSQ can be replaced by an ECSQ with interval cells which has the same entropy and equal or less distortion. Furthermore, the existence of an optimal ECSQ for an arbitrary entropy constraint is shown under rather general conditions.
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