Compactly supported tight wavelet frames and orthonormal wavelets of exponential decay with a general dilation matrix

Compactly Supported Tight Wavelet Frames and Orthonormal Wavelets of Exponential Decay with a General Dilation Matrix

Tight wavelet frames and orthonormal wavelet bases with a general dilation matrix have applications in many areas. In this paper, for any d × d dilation matrix M , we demonstrate in a constructive way that we can construct compactly supported tight M -wavelet frames and orthonormal M -wavelet bases in L2(R) of exponential decay, which are derived from compactly supported M -refinable functions,...

Construction of Compactly Supported Tight Wavelets Frames

Compactly Supported Orthonormal Complex Wavelets with Dilation 4 and Symmetry

In this paper, we provide a family of compactly supported orthonormal complex wavelets with dilation 4 such that the generating wavelet functions are symmetric/antisymmetric and have linearly increasing orders of vanishing moments and smoothness.

Construction of a class of trivariate nonseparable compactly supported wavelets with special dilation matrix

We present a method for  the construction of compactlysupported $left (begin{array}{lll}1 & 0 & -1\1 & 1 & 0 \1 &  0 & 1\end{array}right )$-wavelets  under a mild condition. Wavelets inherit thesymmetry of the corresponding scaling function and satisfies thevanishing moment condition originating in the symbols of the scalingfunction. As an application, an  example is  provided.

Some Smooth Compactly Supported Tight Wavelet Frames with Vanishing Moments

Let A ∈ Rd×d, d ≥ 1 be a dilation matrix with integer entries and | detA| = 2. We construct several families of compactly supported Parseval framelets associated to A having any desired number of vanishing moments. The first family has a single generator and its construction is based on refinable functions associated to Daubechies low pass filters and a theorem of Bownik. For the construction o...