On input-output relation of linear systems by use of PTI complex wavelet packet

This paper is concerned with an input output relation of linear systems when using the PTI (perfect translation invariance) complex wavelet packet transform. In general, the linear relation between input-output is guaranteed by the following two conditions: (I)the mother wavelet has a better frequen...

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Bibliographic Details
Published in2008 International Conference on Wavelet Analysis and Pattern Recognition Vol. 2; pp. 611 - 616
Main Authors Osake, M., Nakano, K.
Format Conference Proceeding
LanguageEnglish
Published IEEE 01.08.2008
Subjects
Conferences
discrete wavelet
Linear systems
Pattern recognition
PTI complex wavelet packet
Wavelet analysis
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ISBN9781424422388
1424422388
ISSN2158-5695
DOI10.1109/ICWAPR.2008.4635852

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Summary:This paper is concerned with an input output relation of linear systems when using the PTI (perfect translation invariance) complex wavelet packet transform. In general, the linear relation between input-output is guaranteed by the following two conditions: (I)the mother wavelet has a better frequency resolution, and (2)the real and imaginary parts in the mother wavelet consist of a Hilbert transform pair. The PTI complex wavelet satisfying the above conditions has been used for demonstrating he linear relation. In this paper, a PTI complex wavelet packet transform is applied for improving the frequency resolution. The validity of our approach is shown through a numerical experiment.
ISBN:9781424422388
1424422388
ISSN:2158-5695
DOI:10.1109/ICWAPR.2008.4635852