TIME-FREQUENCY REPRESENTATION OF INSTANTANEOUS FREQUENCY USING A KALMAN FILTER

Jindřich Liška, Eduard Janeček

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, experimental results show the contribution of this method to improve the time-frequency resolution.

Paper Citation

in Harvard Style

Liška J. and Janeček E. (2007). TIME-FREQUENCY REPRESENTATION OF INSTANTANEOUS FREQUENCY USING A KALMAN FILTER . In Proceedings of the Fourth International Conference on Informatics in Control, Automation and Robotics - Volume 3: ICINCO, ISBN 978-972-8865-84-9, pages 40-46. DOI: 10.5220/0001621900400046

in Bibtex Style

@conference{icinco07,
author={Jindřich Liška and Eduard Janeček},
title={TIME-FREQUENCY REPRESENTATION OF INSTANTANEOUS FREQUENCY USING A KALMAN FILTER},
booktitle={Proceedings of the Fourth International Conference on Informatics in Control, Automation and Robotics - Volume 3: ICINCO,},
year={2007},
pages={40-46},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0001621900400046},
isbn={978-972-8865-84-9},
}

in EndNote Style

TY - CONF
JO - Proceedings of the Fourth International Conference on Informatics in Control, Automation and Robotics - Volume 3: ICINCO,
TI - TIME-FREQUENCY REPRESENTATION OF INSTANTANEOUS FREQUENCY USING A KALMAN FILTER
SN - 978-972-8865-84-9
AU - Liška J.
AU - Janeček E.
PY - 2007
SP - 40
EP - 46
DO - 10.5220/0001621900400046