Share Email Print
cover

Proceedings Paper

Fractional wavelet transform using an unbalanced lifting structure
Author(s): Y. Hakan Habiboğlu; Kivanc Kose; A. Enis Çetin
Format Member Price Non-Member Price
PDF $14.40 $18.00
cover GOOD NEWS! Your organization subscribes to the SPIE Digital Library. You may be able to download this paper for free. Check Access

Paper Abstract

In this article, we introduce the concept of fractional wavelet transform. Using a two-channel unbalanced lifting structure it is possible to decompose a given discrete-time signal x[n] sampled with period T into two sub-signals x1[n] and x2[n] whose average sampling periods are pT and qT, respectively. Fractions p and q are rational numbers satisfying the condition: 1/p + 1/q = 1. The low-band sub-signal x1[n] comes from [0, π/p] band and the high-band wavelet signal x2[n] comes from (π/p, π] band of the original signal x[n]. Filters used in the liftingstructure are designed using the Lagrange interpolation formula. It is straightforward to extend the proposed fractional wavelet transform to two or higher dimensions in a separable or non separable manner.

Paper Details

Date Published: 3 June 2011
PDF: 10 pages
Proc. SPIE 8058, Independent Component Analyses, Wavelets, Neural Networks, Biosystems, and Nanoengineering IX, 805805 (3 June 2011); doi: 10.1117/12.882408
Show Author Affiliations
Y. Hakan Habiboğlu, Bilkent Univ. (Turkey)
Kivanc Kose, Bilkent Univ. (Turkey)
A. Enis Çetin, Bilkent Univ. (Turkey)


Published in SPIE Proceedings Vol. 8058:
Independent Component Analyses, Wavelets, Neural Networks, Biosystems, and Nanoengineering IX
Harold Szu, Editor(s)

© SPIE. Terms of Use
Back to Top