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Title of Journal: Electr Eng

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Abbravation: Electrical Engineering

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Springer-Verlag

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1432-0487

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Linear timevarying systems analysis in wavelet do

Authors: Hasari Karci Gulay Tohumoglu
Publish Date: 2006/10/13
Volume: 89, Issue: 8, Pages: 653-658
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Abstract

A new analysis method based on wavelet domain for linear timevarying systems is developed and introduced and it is called system analysis in wavelet domain SAIWD Linear timevarying systems described by a higher order differential equation or statespace representation are analyzed in wavelet domain To solve system equations they are transferred to wavelet domain by forming algebraic matrix–vector relations using the wavelet transform coefficients These relations are achieved by defining operator matrices concerned with the commonly used time domain operators Orthogonal and compact support wavelets provide a simple way to define these operator matrices It is seen from the solved examples that the percentage error between the analytical and wavelet domain solutions is around 1 in total sampling points


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