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  • 标题:On The Spectral Density Estimation of Periodically Correlated (Cyclostationary) Time Series
  • 本地全文:下载
  • 作者:A.R. Nematollahi ; Department of Statistics ; Shiraz University, Shiraz
  • 期刊名称:Sankhya. Series A, mathematical statistics and probability
  • 印刷版ISSN:0976-836X
  • 电子版ISSN:0976-8378
  • 出版年度:2005
  • 卷号:67
  • 期号:03
  • 出版社:Indian Statistical Institute
  • 摘要:We consider the estimation of the spectral density matrix of a periodically correlated (PC) time series (also known as cyclostationary time series). We use the well known relation between the spectral density matrix of a periodically correlated time series and a stationary vector time series (Gladyshev, 1961). The spectral matrix of the stationary vector time series is estimated using the eigenvalue decomposition of block Toeplitz matrices. The method of estimation is illustrated with simulated and real time series.
  • 关键词:Periodically correlated (cyclostationary) processes, Capon's estimate, high resolution estimate, eigenvalue decomposition, block-Toeplitz matrix.
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