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Citation

Liška, J. and Janeček, E. : Time-Frequency Representation of Instantaneous Frequency Using a Kalman Filter . ICINCO 2007, p. 40-46, INSTICC PRESS, [S.l.], 2007.

Abstract

In this paper, a new method for obtaining a time-frequency representation of instantaneous frequency is introduced . A Kalman filter serves for dissociation of signal into modes with well defined instantaneous frequency. A second order resonator model is used as a model of signal components - 'monocomponent functions'. Simultaneously, the Kalman filter estimates the time-varying signal components in a complex form. The initial parameters for Kalman filter are obtained from the estimation of the spectral density through the Burg's algorithm by fitting an auto-regressive prediction model to the signal. To illustrate the performance of the proposed method, example of real application shows the contribution of this method to improve the time-frequency resolution.

Detail of publication

Title: Time-Frequency Representation of Instantaneous Frequency Using a Kalman Filter
Author: Liška, J. ; Janeček, E.
Language: English
Date of publication: 9 May 2007
Year: 2007
Type of publication: Papers in proceedings of reviewed conferences
Title of journal or book: ICINCO 2007
Page: 40 - 46
ISBN: 978-972-8865-84-9
Publisher: INSTICC PRESS
Address: [S.l.]
Date: 9 May 2007 - 12 May 2007
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Keywords

instantaneous frequency, time-frequency analysis, Hilbert-Huang transform, Kalman filter, state estimation, Hilbert transform

BibTeX

@INPROCEEDINGS{LiskaJ_2007_Time-Frequency,
 author = {Li\v{s}ka, J. and Jane\v{c}ek, E.},
 title = {Time-Frequency Representation of Instantaneous Frequency Using a Kalman Filter},
 year = {2007},
 publisher = {INSTICC PRESS},
 journal = {ICINCO 2007},
 address = {[S.l.]},
 pages = {40-46},
 ISBN = {978-972-8865-84-9},
 url = {http://www.kky.zcu.cz/en/publications/LiskaJ_2007_Time-Frequency},
}