Identification of a continuous linear time-varying system using Haar wavelet with unit energy

Authors:
S. J. Park;K. J. Kim;S. W. Nam
Affiliations:
Department of Electronics and Computer Engineering, Hanyang University, Seoul, Korea;Department of Electronics and Computer Engineering, Hanyang University, Seoul, Korea;Department of Electronics and Computer Engineering, Hanyang University, Seoul, Korea
Venue:
WSEAS Transactions on Circuits and Systems
Year:
2008

Citing 2
Cited 0

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Wavelet-based linear system modeling and adaptive filtering

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Abstract

In this paper, identification of a continuous-time linear time-varying (LTV) system is proposed, where Haar wavelet with unit energy is employed. For that purpose, an algebraic equation is derived by expanding the input-output data and the time-varying impulse response using normalized Haar wavelets. Unknown wavelet coefficients for the a LTV system's impulse response can be effectively estimated by solving the algebraic equation. Finally, the time-varying impulse response of a LTV system can be synthesized from the estimated wavelet coefficients.