{"title":"Estimating the number of sinusoids in additive white-noise","authors":"J. Fuchs","doi":"10.1109/ICASSP.1987.1169582","DOIUrl":null,"url":null,"abstract":"For a random process that can be modeled as a sum of real sinusoids in white noise, we address the problem of the estimation of the number of sinusoids. The test we propose uses the eigen-decomposition of the estimated autocorrelation matrix and is based on matrix perturbation analysis. The estimator is shown to resolve closely spaced sinusoids at quite low signal -to- noise ratios.","PeriodicalId":140810,"journal":{"name":"ICASSP '87. IEEE International Conference on Acoustics, Speech, and Signal Processing","volume":"38 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1987-04-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"78","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"ICASSP '87. IEEE International Conference on Acoustics, Speech, and Signal Processing","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICASSP.1987.1169582","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 78
Abstract
For a random process that can be modeled as a sum of real sinusoids in white noise, we address the problem of the estimation of the number of sinusoids. The test we propose uses the eigen-decomposition of the estimated autocorrelation matrix and is based on matrix perturbation analysis. The estimator is shown to resolve closely spaced sinusoids at quite low signal -to- noise ratios.