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On joint order and bandwidth selection for identification of nonstationary autoregressive processes

Abstract

When identifying a nonstationary autoregressive process, e.g. for the purpose of signal prediction or parametric spectrum estimation, two important decisions must be taken. First, one should choose the appropriate order of the autoregressive model, i.e., the number of autoregressive coefficients that will be estimated. Second, if identification is carried out using the local estimation technique, such as the localized version of the method of least squares, one should select the most appropriate estimation bandwidth, i.e., the effective width of the local data window used for the purpose of parameter tracking. The paper presents the first unified treatment of the problem of joint order and bandwidth selection. Two solutions to this problem are examined, first based on the predictive least squares principle, and second exploiting the suitably modified Akaike’s final prediction error statistic. It is shown that the best results are obtained if the two approaches mentioned above are combined.

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Category:
Conference activity
Type:
materiały konferencyjne indeksowane w Web of Science
Title of issue:
25th European Signal Processing Conference (EUSIPCO 2017) strony 1505 - 1509
Language:
English
Publication year:
2017
Bibliographic description:
Niedźwiecki M., Ciołek M..: On joint order and bandwidth selection for identification of nonstationary autoregressive processes, W: 25th European Signal Processing Conference (EUSIPCO 2017), 2017, ,.
DOI:
Digital Object Identifier (open in new tab) 10.23919/eusipco.2017.8081451
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