{"title":"加性白噪声中正弦波数的估计","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":"{\"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}","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}
Estimating the number of sinusoids in additive white-noise
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.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
