Fast communication: Detection and extraction of periodic noises in audio and biomedical signals using Kalman filter

Authors:
R. Kazemi;A. Farsi;M. H. Ghaed;M. Karimi-Ghartemani
Affiliations:
Department of Electrical Engineering, Sharif University of Technology, Tehran, Iran;Department of Electrical Engineering, Sharif University of Technology, Tehran, Iran;Department of Electrical Engineering, Sharif University of Technology, Tehran, Iran;Department of Electrical Engineering, Sharif University of Technology, Tehran, Iran
Venue:
Signal Processing
Year:
2008

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Abstract

This paper studies the subject of adaptive noise cancelation using the Kalman filtering technique to achieve high precision and fast convergence. It is shown that the Kalman filter can successfully be designed to detect and extract periodic noises which may be constituted of different sinusoidal components with possibly unknown and/or time-varying frequencies. This highlights the feature of Kalman filter in synthesizing periodic noises in the time-domain which is not possible using Fourier-based methods such as DFT. Usefulness of the method is discussed in the context of two examples: active cancelation of periodic noises from audio waveforms and filtering of electrocardiogram measurements.