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A filter design technique for improving the directional selectivity of the first scale of the dual-tree complex wavelet transform

By Bart Goossens, Aleksandra Pizurica and Wilfried Philips

Abstract

The dual-tree complex wavelet transform (DT-CWT) uses approximate Hilbert transform pairs of wavelet, which requires that the filters of each tree of the dual-tree structure should be delayed approximately one half sample from each other. However, the filters of the first (finest) scale of the transform do not obey this condition, resulting in a poor directional selectivity for the first scale. In this paper, we describe a design technique for first-scale infinite impulse response (IIR) wavelet filters, that solves this problem. Results demonstrate that a much better directional selectivity is obtained, which indicates a performance improvement for many applications that use the DT-CWT where the preservation of high-frequency information is important

Topics: Technology and Engineering, IIR filters, wavelet transforms, trees (mathematics), Hilbert transforms
Publisher: 'Institute of Electrical and Electronics Engineers (IEEE)'
Year: 2009
DOI identifier: 10.1109/ICIP.2009.5414309
OAI identifier: oai:archive.ugent.be:1002630
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