{"title":"子空间干扰中子空间信号检测的并集","authors":"M. Lodhi, W. Bajwa","doi":"10.1109/SSP.2018.8450694","DOIUrl":null,"url":null,"abstract":"This paper investigates detection theory for signals belonging to a union of subspaces (UoS) in the presence of an interference subspace and white noise of unknown variance. Generalized likelihood ratio tests are provided for both signal detection and “active” subspace detection under the UoS model. The paper also derives performance bounds on the associated detection problems and relates them to the geometry of subspaces in the union and the interfering subspace. These relations are then corroborated through numerical experiments on synthetic data.","PeriodicalId":330528,"journal":{"name":"2018 IEEE Statistical Signal Processing Workshop (SSP)","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2018-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"Union of Subspaces Signal Detection In Subspace Interference\",\"authors\":\"M. Lodhi, W. Bajwa\",\"doi\":\"10.1109/SSP.2018.8450694\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper investigates detection theory for signals belonging to a union of subspaces (UoS) in the presence of an interference subspace and white noise of unknown variance. Generalized likelihood ratio tests are provided for both signal detection and “active” subspace detection under the UoS model. The paper also derives performance bounds on the associated detection problems and relates them to the geometry of subspaces in the union and the interfering subspace. These relations are then corroborated through numerical experiments on synthetic data.\",\"PeriodicalId\":330528,\"journal\":{\"name\":\"2018 IEEE Statistical Signal Processing Workshop (SSP)\",\"volume\":\"1 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2018-06-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2018 IEEE Statistical Signal Processing Workshop (SSP)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/SSP.2018.8450694\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2018 IEEE Statistical Signal Processing Workshop (SSP)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/SSP.2018.8450694","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Union of Subspaces Signal Detection In Subspace Interference
This paper investigates detection theory for signals belonging to a union of subspaces (UoS) in the presence of an interference subspace and white noise of unknown variance. Generalized likelihood ratio tests are provided for both signal detection and “active” subspace detection under the UoS model. The paper also derives performance bounds on the associated detection problems and relates them to the geometry of subspaces in the union and the interfering subspace. These relations are then corroborated through numerical experiments on synthetic data.