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The Dual-Tree Complex Wavelet Transform

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Title: The Dual-Tree Complex Wavelet Transform
Author: Selesnick, Ivan W.; Baraniuk, Richard G.; Kingsbury, Nicholas G.
Type: Journal Paper
Keywords: FILTER BANKS; MULTISCALE TRANSFORMS; IMAGE; DESIGN; SIGNAL; BASES; COMPRESSION; ALGORITHMS; SCALE; PAIRS
Citation: I. W. Selesnick, R. G. Baraniuk and N. G. Kingsbury, "The Dual-Tree Complex Wavelet Transform," IEEE Signal Processing Magazine, vol. 22, no. 6, pp. 123-151, 2005.
Abstract: The paper discusses the theory behind the dual-tree transform, shows how complex wavelets with good properties can be designed, and illustrates a range of applications in signal and image processing. The authors use the complex number symbol C in CWT to avoid confusion with the often-used acronym CWT for the (different) continuous wavelet transform. The four fundamentals, intertwined shortcomings of wavelet transform and some solutions are also discussed. Several methods for filter design are described for dual-tree CWT that demonstrates with relatively short filters, an effective invertible approximately analytic wavelet transform can indeed be implemented using the dual-tree approach.
Date Published: 2005-11-01

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  • ECE Publications [1043 items]
    Publications by Rice University Electrical and Computer Engineering faculty and graduate students
  • DSP Publications [508 items]
    Publications by Rice Faculty and graduate students in digital signal processing.