Complex Wavelet Transforms with Allpass Filters

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Title: Complex Wavelet Transforms with Allpass Filters
Author: Fernandes, Felix; Selesnick, Ivan W.; van Spaendonck, Rutger; Burrus, C. Sidney
Type: Journal article
Keywords: complex wavelet transforms directionality shift invariance phase non-redundant
Citation: F. Fernandes, I. W. Selesnick, R. van Spaendonck and C. S. Burrus, "Complex Wavelet Transforms with Allpass Filters," Signal Processing, vol. 83, no. 8, pp. 1689-1706, 2003.
Abstract: Complex discrete wavelet transforms have significant advantages over real wavelet transforms for certain signal processing problems. Two approaches to the implementation of complex wavelet transforms have been proposed earlier. Both approaches require discrete-time allpass systems having approximately linear-phase and (fractional) delay. This paper compares the results when different allpass systems are used. In the earlier work, maximally flat delay allpass systems were used. In this paper, it is shown that an allpass system designed according to the minimax criterion yields improvements for the complex discrete wavelet transforms.
Date Published: 2003-08-20

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  • DSP Publications [508 items]
    Publications by Rice Faculty and graduate students in digital signal processing.