Analysis of wavelets, wavelet packets (a collection of wavelet bases), and multiwavelets has led to the development of new signal-processing algorithms.

This article deals with multiwavelets, which are a generalization of wavelets in the context of time-varying filter banks and with their applications to signal processing and especially compression.

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In this article, a new modification of the Adomian decomposition method is performed for the solution fractional order convection–diffusion equation with variable coefficient and initial–boundary ...

We will be addressing orthogonal multiwavelets with compact support generated from filter banks with a complexity (filter order) that can be chosen by the user. Much of the theory of orthogonal scalar ...

Discover Chebyshev biorthogonal multiwavelets for signal approximation. Explore convergence rates, fast decomposition, and reconstruction algorithms. Validate with numerical examples.

In this paper, we construct Chebyshev biorthogonal multiwavelets, and use this multiwavelets to approximate signals (functions). The convergence rate for signal approximation is derived. The fast ...

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In this work, we have synthesized Cd1–xGaxO1+δ alloy thin films at room temperature over the entire composition range by radio frequency magnetron sputtering. We found that alloy films with high Ga ...

We characterize the scaling function of a crystal Multiresolution Analysis in terms of the vector-scaling function for a Multiresolution Analysis associated to ...

We present an alternative approximation of the multivariate distribution of interest by considering orthonormal polynomial and Legendre multiwavelets as the basis functions. We show the derived ...