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2017SPIE小波和稀疏光学专题会议(Wavelets and Sparsity XVII)。
Non-parametric function estimation aims to estimate or recover or denoise a function of interest, perhaps a signal, spectrum or image, that is observed in noise and possibly indirectly after some tr...
Using the Walsh-Fourier transform, we give a construction of compactly supported nonstationary dyadic wavelets on the positive half-line. The masks of these wavelets are the Walsh polynomials defined ...
Abstract: A wavelet is a localized function having a prescribed number of vanishing moments. In this correspondence, we provide precise arguments as to why the Hilbert transform of a wavelet is again ...
Quasi-periodic oscillations and dwarf nova oscillations occur in dwarf novae and nova-like variables during outburst and occasionally during quiescence, and have analogues in high-mass X-ray binaries ...
Given a real, expansive dilation matrix we prove that any bandlimited function ∈ L2(Rn), for which the dilations of its Fourier transform form a partition of unity, generates a wavelet frame for cer...
Dual pseudo splines constitute a new class of refinable functions with B-splines as special examples, which was introduced in [8]. In this paper, we shall construct Riesz wavelet associated with dual ...
Wavelets offer significant advantages for the analysis of problems in quantum mechanics. Because wavelets are localized in both time and frequency they avoid certain subtle but potentially fatal conce...
We use the continuous Legendre multi-wavelets on the interval [0, 1) to solve the linear integro-differential equation. To do so, we reduced the problem into a system of algebraic equations. Illustrat...
Recent laboratory studies of Okuda and others revealed shear stress “spikes” over wavelet crests as the principal instruments of air-sea momentum transfer. Examination of other laboratory evidence sho...
In this paper we present general constructions of orthogonal and biorthogonal multiresolution analysis on the interval. In the first one, we describe a direct method to define an orthonormal multire...
In 2000, Papadakis announced that any orthonormal wavelet must be derived by a generalized frame MRA (GFMRA). In this paper, we give a characterization of GFMRAs which can derive orthonormal wavelets,...
The construction of frame wavelets with compact supports is a meaningful problem in wavelet analysis. In particular, it is a hard work to construct the frame wavelets with explicit analytic forms. For...
Given a multiresolution analysis of multidimension, we construct pre-wavelets and a Rieszwavelet basis under some assumptions on the scale function. Example are provided.

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