{"title":"基于累积量的参数估计中的广义正则化","authors":"J. Xin, K. Nagasawa, A. Sano","doi":"10.1109/SSAP.1992.246892","DOIUrl":null,"url":null,"abstract":"The regularization in third-order cumulant-based parameter estimation is discussed for identification of transfer functions. The SVD-based regularization algorithm to estimate the number of sinusoids in the presence of colored Gaussian noise is given on a basis of fourth-order cumulant. A new MSE-like criterion for determining the optimal multiple adjustable parameters is given to decide the number of sinusoids by comparing these parameters with the singular values of the fourth-order cumulant-based Toeplitz matrix.<<ETX>>","PeriodicalId":309407,"journal":{"name":"[1992] IEEE Sixth SP Workshop on Statistical Signal and Array Processing","volume":"15 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1992-10-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Generalized regularization in cumulant-based parameter estimation\",\"authors\":\"J. Xin, K. Nagasawa, A. Sano\",\"doi\":\"10.1109/SSAP.1992.246892\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The regularization in third-order cumulant-based parameter estimation is discussed for identification of transfer functions. The SVD-based regularization algorithm to estimate the number of sinusoids in the presence of colored Gaussian noise is given on a basis of fourth-order cumulant. A new MSE-like criterion for determining the optimal multiple adjustable parameters is given to decide the number of sinusoids by comparing these parameters with the singular values of the fourth-order cumulant-based Toeplitz matrix.<<ETX>>\",\"PeriodicalId\":309407,\"journal\":{\"name\":\"[1992] IEEE Sixth SP Workshop on Statistical Signal and Array Processing\",\"volume\":\"15 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1992-10-07\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"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.1992.246892\",\"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.1992.246892","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Generalized regularization in cumulant-based parameter estimation
The regularization in third-order cumulant-based parameter estimation is discussed for identification of transfer functions. The SVD-based regularization algorithm to estimate the number of sinusoids in the presence of colored Gaussian noise is given on a basis of fourth-order cumulant. A new MSE-like criterion for determining the optimal multiple adjustable parameters is given to decide the number of sinusoids by comparing these parameters with the singular values of the fourth-order cumulant-based Toeplitz matrix.<>
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