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Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/285

Title: A fast and efficient computational structure for the 2D over-complete wavelet transform
Authors: Law, Ngai-fong Bonnie
Siu, Wan-chi
Subjects: Wavelet transform
Computational complexity
Issue Date: 2003
Publisher: IEEE
Citation: 2003 IEEE International Conference on Acoustics, Speech, and Signal Processing : proceedings : April 6-10, 2003, Hong Kong Exhibition and Convention Centre, Hong Kong, p. III309-III312
Abstract: We studied the computational complexity of the over-complete wavelet representation for the commonly used Spline wavelet family with an arbitrary order. By deriving a general expression for the complexity, it is shown that the inverse transform is significantly more costly in computation than the forward transform. In order to reduce the computational complexity, a new spatial implementation is proposed. This new implementation exploits the redundancy between the lowpass and the bandpass outputs that is inherent to the over-complete wavelet scheme. It is shown that the new implementation can greatly simplify the computations, give an efficient inverse structure and allow the use of an arbitrary boundary extension method without affecting the ease of the inverse transform.
Rights: © 2003 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE.
This material is presented to ensure timely dissemination of scholarly and technical work. Copyright and all rights therein are retained by authors or by other copyright holders. All persons copying this information are expected to adhere to the terms and constraints invoked by each author's copyright. In most cases, these works may not be reposted without the explicit permission of the copyright holder.
Type: Conference Paper
URI: http://hdl.handle.net/10397/285
ISBN: 0780376633
Appears in Collections:EIE Conference Papers & Presentations

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