DMCA
Signal Extensions in perfect reconstruction Filter Banks
BibTeX
@MISC{And_signalextensions,
author = {Joo Silvestre And and João Silvestre and Luís De Sá},
title = {Signal Extensions in perfect reconstruction Filter Banks},
year = {}
}
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Abstract
The Wavelet transform is defined for infinite-length signals. In practice we only have finite-length signals, so signals must be extended before they can be transformed. The question is how to extend the signal to minimize signal end effects, or how to find the signal extension that preserves the transform signal length. In this paper we discuss the problem of signal extension in perfect reconstruction filter banks. 1. INTRODUCTION One key problem in subband and wavelet coding systems, is the decomposition of limited size signals. If we consider the case of an input signal x[n] of even length N (non-zero samples for n=0, 1, ..., N-1) we are interested in representing each of the two subbands components of x[n] by N/2 samples. However the decimated outputs of the analysis filters have more than N/2 non-zero samples since the linear convolution of the input signal with the filter bank is an expansive operation. Several approaches have been developed in order to solve this problem. Som...
Keyphrases
signal extension perfect reconstruction filter bank non-zero sample input signal limited size signal subbands component expansive operation signal end effect infinite-length signal key problem wavelet transform analysis filter several approach transform signal length finite-length signal decimated output filter bank linear convolution
