The Intelligent Algorithm Concerning Biorthogonal Quaternary Wavelet Wraps
Xinran Wu, Yumin Yu · Physics Procedia · 2012
Aside from the straightforward construction of Daubechies’ wavelets, only a few, specific construcion of multiva-riate orthonormal wavelet systems exist presently in the literatu--re. In this article, the notion of biorthogonal nonseparable, quarternary wavelet wraps, which is the generalization of ortho-gonal univariate wavelet wraps, is introduced. A novel algorithm for constructing them is presented by virtue of iteration method. The biorthogonality properties of quarternary wavelet wraps are investigated. Three biorthogonality formulas concerning these wavelet wraps are estabished.