DUAL-TREE COMPLEX WAVELET TRANSFORM IN THE FREQUENCY DOMAIN AND AN APPLICATION TO SIGNAL CLASSIFICATION
International Journal of Wavelets Multiresolution and Information ProcessingPublished 1 March 2005
Julia Neumann, Gabriele Steidl
Citations45
SJR quartileQ3
SJR score0.28
SNIP0.60
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TL;DR
Kingsbury's dual-tree complex wavelet transform in the frequency domain is examined, where it can be formulated for standard wavelet filters without special filter design and applied to the classification of signals.
Abstract
We examine Kingsbury's dual-tree complex wavelet transform in the frequency domain where it can be formulated for standard wavelet filters without special filter design. We prove that the dual-tree filter bank construction leads to wavelets with vanishing negative frequency parts, present numerical examples illustrating the improvement of translation and rotation invariance for various standard wavelet filters and apply the method to the classification of signals.
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Computer ScienceEarth and Planetary SciencesEngineering
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