Papers by Keyword: Finite Support

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Authors: Qing Jiang Chen, Lie Ya Yan
Abstract: The advantages of wavelets and their promising features in various application have attracted a lot of interest and effort in recent years. In this article, the notion of two-directional biorthogonal finitely supported trivariate wavelet packets with multiscale is developed. Their properties is investigated by virtue of algebra theory, time-frequency analysis method and functional analysis method. In the final, new Riesz bases of space are constructed from these wavelet packets. Three biorthogonality formulas regarding these wavelet packets are established
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Authors: Xiao Feng Wang
Abstract: Wavelet analysis has become a popular subject in scientific research for twenty years. It has been a powerful tool for exploring and solving many complica -ted problems in natural science and engineering computation. The notion of exact orthogonal nonseparable four-variate wavelet packs is introduced. A novel method for constructing them is provided by iteration method. The orthogonality properties of four-variate wavelet packs are discussed. Three orthogonality formulas concerning these wavelet packs are provided. The pyramid decomposition scheme is derived
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