On the asymptotic statistical behavior of empirical cepstral coefficients

نویسندگان

  • Neri Merhav
  • Chin-Hui Lee
چکیده

The asymptotic covariance matrix of the empirical cepstrum is analyzed. We show that for Gaussian processes, cepstral coefficients derived from smoothed periodograms are asymptotically uncorrelated and their variances multiplied by the sample size T tend to unity. For an autoregressive process and its autoregressive cepstrum estimate, somewhat weaker results hold.

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عنوان ژورنال:
  • IEEE Trans. Signal Processing

دوره 41  شماره 

صفحات  -

تاریخ انتشار 1993