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On the Statistical Consistency of a Generalized Cepstral Estimator

IEEE Transactions on Automatic Control, ISSN: 1558-2523, Vol: 69, Issue: 9, Page: 5775-5787
2024
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Article Description

In this article, we consider the problem of estimating the generalized cepstral coefficients of a stationary stochastic process or stationary multidimensional random field. It turns out that a naive version of the periodogram-based estimator for the generalized cepstral coefficients is not consistent. We propose a consistent estimator for those coefficients. Moreover, we show that the latter can be used in order to build a consistent estimator for a particular class of cascade linear stochastic systems.

Bibliographic Details

Bin Zhu; Mattia Zorzi

Institute of Electrical and Electronics Engineers (IEEE)

Engineering; Computer Science

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