{"title":"确定信号子空间的维数","authors":"A. A. Shah, D. Tufts","doi":"10.1109/ACSSC.1993.342405","DOIUrl":null,"url":null,"abstract":"A nested sequence of constant false alarm rate (CFAR) hypothesis tests is presented for rank determination. The procedure is based on the interpretation of sum of squares of singular values as energy in a particular subspace. The CFAR thresholds are set up based on distributions derived from matrix perturbation ideas. Expressions for probability of overestimation and underestimation are presented.<<ETX>>","PeriodicalId":266447,"journal":{"name":"Proceedings of 27th Asilomar Conference on Signals, Systems and Computers","volume":"8 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1993-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"6","resultStr":"{\"title\":\"Determination of the dimension of a signal subspace\",\"authors\":\"A. A. Shah, D. Tufts\",\"doi\":\"10.1109/ACSSC.1993.342405\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"A nested sequence of constant false alarm rate (CFAR) hypothesis tests is presented for rank determination. The procedure is based on the interpretation of sum of squares of singular values as energy in a particular subspace. The CFAR thresholds are set up based on distributions derived from matrix perturbation ideas. Expressions for probability of overestimation and underestimation are presented.<<ETX>>\",\"PeriodicalId\":266447,\"journal\":{\"name\":\"Proceedings of 27th Asilomar Conference on Signals, Systems and Computers\",\"volume\":\"8 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1993-11-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"6\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of 27th Asilomar Conference on Signals, Systems and Computers\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ACSSC.1993.342405\",\"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 of 27th Asilomar Conference on Signals, Systems and Computers","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ACSSC.1993.342405","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Determination of the dimension of a signal subspace
A nested sequence of constant false alarm rate (CFAR) hypothesis tests is presented for rank determination. The procedure is based on the interpretation of sum of squares of singular values as energy in a particular subspace. The CFAR thresholds are set up based on distributions derived from matrix perturbation ideas. Expressions for probability of overestimation and underestimation are presented.<>