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 . The proposed filters can be implemented very efficiently with output scaling but otherwise no multiply operations. The cornpaction 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.
This paper was published in SPIE Proceedings Vol. 1360
Visual Communications and Image Processing '90: Fifth in a Series, Murat Kunt, Editors, pp.609-618