Perfect reconstruction binomial QMF-wavelet transform

Ali Naci Akansu; Richard A. Haddad; Hakan Caglar

doi:10.1117/12.24246

1 September 1990 Perfect reconstruction binomial QMF-wavelet transform

Ali Naci Akansu, Richard A. Haddad, Hakan Caglar

Proceedings Volume 1360, Visual Communications and Image Processing '90: Fifth in a Series; (1990) https://doi.org/10.1117/12.24246
Event: Visual Communications and Image Processing '90, 1990, Lausanne, Switzerland

Abstract

This paper describes a class of orthogonal binomial filters which provide a set of basis functions for a bank of perfect reconstruction Finite Impulse Response Quadrature Mirror Filters (FIR-QMF). These Binomial QMFs are shown to be the same filters as those derived from a discrete orthonormal wavelet approach by Daubechies [13]. The proposed filters can be implemented very efficiently with output scaling, but otherwise no multiply operations. The compaction performance of the proposed signal decomposition technique is computed and shown to be better than that of the DCT for the AR(1) signal models, and also for standard test images.

Citation Download Citation

Ali Naci Akansu, Richard A. Haddad, and Hakan Caglar "Perfect reconstruction binomial QMF-wavelet transform", Proc. SPIE 1360, Visual Communications and Image Processing '90: Fifth in a Series, (1 September 1990); https://doi.org/10.1117/12.24246

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