SK.Umar Faruq; K.V.Ramanaiah; K.Soundararajan

A New Algorithm for Computationally Efficient Modified Dual Tree Complex Wavelet Transform

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Author(s)

SK.Umar Faruq ^1,* K.V.Ramanaiah ² K.Soundararajan ³

1. Quba college of Engineering &Technology, Nellore, A.P, India

2. Y.S.R Engineering college of Yogi Vemana Univesity,Prodduturu, A.P, India

3. KITE CPES Hyderabad

* Corresponding author.

DOI: https://doi.org/10.5815/ijigsp.2014.07.06

Received: 21 Feb. 2014 / Revised: 28 Mar. 2014 / Accepted: 6 May 2014 / Published: 8 Jun. 2014

Index Terms

DWT, DTCWT, MDTCWT, Hilbert transform, Quadrature filter, computational complexity

Abstract

We introduce a new generation functionally distinct redundant free Modified Dual Tree Complex Wavelet structure with improved orthogonality and symmetry properties. Traditional Dual Tree Complex Wavelets Transform (DTCWT), which incorporates two operationally similar, procedurally different Discrete Wavelet Transform (DWT) trees, is inherently redundant and computationally complex. In this paper, we propose Symmetrically Modified DTCWT (SMDTCWT) to explore the close relationships between the wavelet coefficients from the real and imaginary tree of the dual-tree CWT with an advent of a Quadrature Filter. This exploitation can reduce the level of redundancy that currently exists in a dual-tree wavelet system and decrease the computational complexity .Some of the primary constraints include that the designed algorithm should be satisfying the Hilbert transform pair condition and should have high coding gain, good directional sensitivity, and sufficient degree of regularity.

Cite This Paper

SK.Umar Faruq, K.V.Ramanaiah, K.Soundara Rajan,"A New Algorithm for Computationally Efficient Modified Dual Tree Complex Wavelet Transform", IJIGSP, vol.6, no.7, pp.44-52, 2014. DOI: 10.5815/ijigsp.2014.07.06

Reference

[1]N G Kingsbury: "The dual-tree complex wavelet transform: a new efficient tool for image restoration and enhancement", Proc. EUSIPCO 98,Rhodes, Sept 1998, pp 319-322.

[2]N G Kingsbury: "Shift invariant properties of the dual-tree complex wavelet transform", Pro IASSP 99, Phoenix, AZ, March 1999, paper SPTM 3.6.

[3]P Loo and N G Kingsbury: "Digital watermarking using complex wavelets", Proc. ICIP2000,Vancouver Sept 2000.

[4]PFC de riiva'and N G kingsbury: fassegmrenatation Using level sert curves of complexwavelet sufaces" proc ICIP2000vancouver sept 2000.

[5]J Romberg, H Choi, R Baraniuk and N G Kingsbury: "Multiscale classification using Complex wavelets", Proc. ICIP 2000, Vancouver, Sept 2000.

[6]NickKingsbury:"A dual-tree complex wavelet transformwith improvedorthogonality and symmetry properties".

[7]N.G. Kingsbury, "The dual-tree complex wavelet transform: A new techniquefor shift Invariance and directional filters,"in Proc. 8th IEEE DSP Workshop Utah,Aug. 9–12, 1998, paper no. 86.

[8]H.F. Ates and M.T. Orchard, "A nonlinear image representation in waveletdomain using Complex signals with single quadrantspectrum," in Proc. AsilomarConf. Signals, Systems, Computers, 2003vol. 2, pp.1966–1970.

[9]P P Vaidyanathan and P-Q Hoang:"Lattice Structuresfor optimal design and robust Implementationof two-channelperfect ReconstructionQMF banks", IEEE Trans. on ASSP, Jan 1988, pp 81-94.

[10]Ingrid Daubechies and Wim Sweldens: a tutorialon "factoring wavelettransforms into lifting steps",September1996, revised.

International Journal of Image, Graphics and Signal Processing (IJIGSP)