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Traditional Fourier analysis is applied to signal processing, but it often causes ‘jump’ at the edges. In this paper, a quantitative analysis of the ‘jump’ and a wavelet series construction method by folding and integral operator in the H1[0,1] space are introduced. Its good properties are discussed here for the first time. Without the need of pre-filtering and boundary extension, the proposed method...
Present a novel method to reconstruct a group of geometrical models in computational geometric information processing based on the V-system. This method is probably used in the field of pervasive computing. The V-system of degree k, as a generalization of Harr wavelet function, is a new class of complete orthogonal functions in L2[0,1]. It is composed of piecewise kth-order polynomials. Few people...
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