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 $17.00 $21.00

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
PREMIUM CONTENT
Sign in to read the full article
Create a free SPIE account to get access to
premium articles and original research
Forgot your username?
close_icon_gray