{"title":"基于hos的谐波检索:一个确定性公式","authors":"J.M.M. Anderson, G. Giannakis","doi":"10.1109/SSAP.1992.246864","DOIUrl":null,"url":null,"abstract":"Given a single record, the authors consider the problem of estimating the harmonics of a signal buried in noise. The observed data is modeled as a superposition of sinusoids plus stationary, zero-mean additive Gaussian noise of unknown covariance. Novel higher-order statistics, referred to as 'mixed' cumulants, are appropriate for certain types of mixed processes. After a consistent HOS-based linear estimate, an improved estimate is computed via mixed-cumulant matching. Issues regarding quadratic coupling are addressed. The performance of the proposed method is examined via simulations.<<ETX>>","PeriodicalId":309407,"journal":{"name":"[1992] IEEE Sixth SP Workshop on Statistical Signal and Array Processing","volume":"49 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1992-10-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"6","resultStr":"{\"title\":\"HOS-based harmonic retrieval: a deterministic formulation\",\"authors\":\"J.M.M. Anderson, G. Giannakis\",\"doi\":\"10.1109/SSAP.1992.246864\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Given a single record, the authors consider the problem of estimating the harmonics of a signal buried in noise. The observed data is modeled as a superposition of sinusoids plus stationary, zero-mean additive Gaussian noise of unknown covariance. Novel higher-order statistics, referred to as 'mixed' cumulants, are appropriate for certain types of mixed processes. After a consistent HOS-based linear estimate, an improved estimate is computed via mixed-cumulant matching. Issues regarding quadratic coupling are addressed. The performance of the proposed method is examined via simulations.<<ETX>>\",\"PeriodicalId\":309407,\"journal\":{\"name\":\"[1992] IEEE Sixth SP Workshop on Statistical Signal and Array Processing\",\"volume\":\"49 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1992-10-07\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"6\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"[1992] IEEE Sixth SP Workshop on Statistical Signal and Array Processing\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/SSAP.1992.246864\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"[1992] IEEE Sixth SP Workshop on Statistical Signal and Array Processing","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/SSAP.1992.246864","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
HOS-based harmonic retrieval: a deterministic formulation
Given a single record, the authors consider the problem of estimating the harmonics of a signal buried in noise. The observed data is modeled as a superposition of sinusoids plus stationary, zero-mean additive Gaussian noise of unknown covariance. Novel higher-order statistics, referred to as 'mixed' cumulants, are appropriate for certain types of mixed processes. After a consistent HOS-based linear estimate, an improved estimate is computed via mixed-cumulant matching. Issues regarding quadratic coupling are addressed. The performance of the proposed method is examined via simulations.<>
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