NDLI: An improved version of the inverse Hyperanalytic Wavelet Transform

Content Provider	IEEE Xplore Digital Library
Author	Firoiu, I. Isar, A. Boucher, J.-M.
Copyright Year	2009
Description	Author affiliation: Signal and Communications Dept., Institut Telecom, Telecom Bretagne, UMR CNRS lab-STICC 3192, Technopôle Brest-Iroise, CS 83818-29238 Cedex, France (Boucher, J.-M.) \|\| Communications Dept., Electronics and Telecommunications Faculty, ¿Politehnica¿ University, Timisoara, România (Firoiu, I.; Isar, A.)
Abstract	The success of wavelet techniques in many fields of signal and image processing was proved to be highly influenced by the properties of the wavelet transform used, mainly the shift-invariance and the directional selectivity. In the present paper we propose an improved version of the inverse Hyperanalytic Wavelet Transform (HWT), which uses hyperanalytic mother wavelets. We have already proposed implementations of the HWT and of its inverse (IHWT). The implementation supposes the computation of the discrete wavelet transform (DWT) of the hyperanalytic signal associated to the input signal. Our old computation method of the IHWT extracts the real part of the signal at the output of the inverse discrete wavelet transform (IDWT). The aim of this paper is a new implementation of the IHWT, which permits a better shift invariance. We will compare this implementation with our previous one, with the DWT and with Kingsbury's Double-Tree Complex Wavelet Transform (DT CWT).
Starting Page	1
Ending Page	4
File Size	532188
Page Count	4
File Format	PDF
ISBN	9781424437856
DOI	10.1109/ISSCS.2009.5206215
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2009-07-09
Publisher Place	Romania
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Wavelet transforms Continuous wavelet transforms Filters Image processing Signal processing Wavelet analysis Discrete wavelet transforms Telecommunications Signal analysis Image reconstruction
Content Type	Text
Resource Type	Article

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