{"title":"AWGN信道的信号空间降维及其在CPM中的应用","authors":"P. Moqvist, T. Aulin","doi":"10.1109/ISIT.2001.936143","DOIUrl":null,"url":null,"abstract":"Using signal energy criteria, the best lower-dimensional representation of a signal set is given by its principal components (PC). A comparison with a previous method by Huber and Liu (1989) shows that the differences are small. However, the minimum distance loss in CPM is generally larger with the PC method; thus it is mainly of theoretical interest. Still, it provides an alternative to Gram-Schmidt approaches, e.g. in simulations.","PeriodicalId":433761,"journal":{"name":"Proceedings. 2001 IEEE International Symposium on Information Theory (IEEE Cat. No.01CH37252)","volume":"81 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2001-06-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Signal space dimension reduction for AWGN channels with application to CPM\",\"authors\":\"P. Moqvist, T. Aulin\",\"doi\":\"10.1109/ISIT.2001.936143\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Using signal energy criteria, the best lower-dimensional representation of a signal set is given by its principal components (PC). A comparison with a previous method by Huber and Liu (1989) shows that the differences are small. However, the minimum distance loss in CPM is generally larger with the PC method; thus it is mainly of theoretical interest. Still, it provides an alternative to Gram-Schmidt approaches, e.g. in simulations.\",\"PeriodicalId\":433761,\"journal\":{\"name\":\"Proceedings. 2001 IEEE International Symposium on Information Theory (IEEE Cat. No.01CH37252)\",\"volume\":\"81 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2001-06-24\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"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.2001.936143\",\"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.2001.936143","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Signal space dimension reduction for AWGN channels with application to CPM
Using signal energy criteria, the best lower-dimensional representation of a signal set is given by its principal components (PC). A comparison with a previous method by Huber and Liu (1989) shows that the differences are small. However, the minimum distance loss in CPM is generally larger with the PC method; thus it is mainly of theoretical interest. Still, it provides an alternative to Gram-Schmidt approaches, e.g. in simulations.