{"title":"一种不合适的ESPRIT随机向量方法和单一ESPRIT频率估计","authors":"G. Bouleux, Thameur Kidar, F. Guillet","doi":"10.1109/WOSSPA.2011.5931478","DOIUrl":null,"url":null,"abstract":"The problem of estimating the frequencies of a complex signal corrupted by noise is addressed in this paper. Solving the problem by a subspace approach induce an inevitable maximum overlap between windowed observation vectors. It appears therefore that traditional second order statistics do not describe totally the second order behavior and the notion of improper random vector is recommended. Based on this, we analyze an ESPRIT and a Unitary ESPRIT-based methods established with improper random vectors assumption. Numerical simulations and a real application are brought for embellishing the discussion.","PeriodicalId":343415,"journal":{"name":"International Workshop on Systems, Signal Processing and their Applications, WOSSPA","volume":"162 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2011-05-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"An improper random vector approach for ESPRIT and unitary ESPRIT frequency estimation\",\"authors\":\"G. Bouleux, Thameur Kidar, F. Guillet\",\"doi\":\"10.1109/WOSSPA.2011.5931478\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The problem of estimating the frequencies of a complex signal corrupted by noise is addressed in this paper. Solving the problem by a subspace approach induce an inevitable maximum overlap between windowed observation vectors. It appears therefore that traditional second order statistics do not describe totally the second order behavior and the notion of improper random vector is recommended. Based on this, we analyze an ESPRIT and a Unitary ESPRIT-based methods established with improper random vectors assumption. Numerical simulations and a real application are brought for embellishing the discussion.\",\"PeriodicalId\":343415,\"journal\":{\"name\":\"International Workshop on Systems, Signal Processing and their Applications, WOSSPA\",\"volume\":\"162 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2011-05-09\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Workshop on Systems, Signal Processing and their Applications, WOSSPA\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/WOSSPA.2011.5931478\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Workshop on Systems, Signal Processing and their Applications, WOSSPA","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/WOSSPA.2011.5931478","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
An improper random vector approach for ESPRIT and unitary ESPRIT frequency estimation
The problem of estimating the frequencies of a complex signal corrupted by noise is addressed in this paper. Solving the problem by a subspace approach induce an inevitable maximum overlap between windowed observation vectors. It appears therefore that traditional second order statistics do not describe totally the second order behavior and the notion of improper random vector is recommended. Based on this, we analyze an ESPRIT and a Unitary ESPRIT-based methods established with improper random vectors assumption. Numerical simulations and a real application are brought for embellishing the discussion.
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