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Lattice filter based multivariate autoregressive spectral estimation with joint model order and estimation bandwidth adaptation

Abstract

The problem of parametric, autoregressive model based estimation of a time-varying spectral density function of a multivariate nonstationary process is considered. It is shown that estimation results can be considerably improved if identification of the autoregressive model is carried out using the two-sided doubly exponentially weighted lattice algorithm which combines results yielded by two one-sided lattice algorithms running forward in time and backward in time, respectively. It is also shown that the model order and the most appropriate estimation bandwidth can be efficiently selected using the suitably modified Akaike's final prediction error criterion.

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Category:
Articles
Type:
artykuł w czasopiśmie wyróżnionym w JCR
Published in:
IEEE TRANSACTIONS ON AUTOMATIC CONTROL no. 64, pages 4968 - 4981,
ISSN: 0018-9286
Language:
English
Publication year:
2019
Bibliographic description:
Niedźwiecki M., Meller M., Chojnacki D.: Lattice filter based multivariate autoregressive spectral estimation with joint model order and estimation bandwidth adaptation// IEEE TRANSACTIONS ON AUTOMATIC CONTROL. -Vol. 64, iss. 12 (2019), s.4968-4981
DOI:
Digital Object Identifier (open in new tab) 10.1109/tac.2019.2908260
Verified by:
Gdańsk University of Technology

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