1,721,168 research outputs found
Haar wavelet-based technique for sharp jumps classification
No full textA wavelet-based technique is proposed for analysing ocalized significant changes in observed data, in the presence of noise. The main tasks of the proposed technique are: (a) denoising the observed data without removing localized significant changes, (b) classifying the detected sharp jumps (sèikes), and (c) obtaining a smooth trend (deterministic function) to represent the time-series evolution.
By using the Haar discrete wavelet transform, the sequence of data is transformed into a sequence of wavelet coefficients. The Haar wavelet coefficients together with their rate of change, represent local changes and local correlation of data, therfore, their analysis gives rise to multi-dimensional thresholds and constraints which allow both the denoising and the sorting of data in a suitable space
The Wavelet-based technique in dispersive wave propagation
No full textThe paper expounds a wavelet-based technique. The techniques is applied to the dispersive wave
equation by describing wave propagation by a composition of fundamental (harmonic) wavelets. The
linear Klein–Gordon equation is analyzed and associated approximate wavelet solutions are considered
for fixed resolution levels. Discretized wavelet families are computed explicitly using a basis of time
harmonic wavelets. Some applications at various low resolution levels show that the technique proposed
provides new opportunities for wave propagation analysis
Harmonic Wavelet Solution ofPoisson's Problem
Full text linkThe multiscale (wavelet) decomposition of the solution is
proposed for the analysis of the Poisson problem. The approximate so-
lution is computed with respect to a ̄nite dimensional wavelet space
[4, 5, 7, 8, 16, 15] by using the Galerkin method. A fundamental role
is played by the connection coe±cients [2, 7, 11, 9, 14, 17, 18], expressed
by some hypergeometric series. The solution of the Poisson problem is
compared with the approach based on Daubechies wavelets [18]
Existence and uniqueness theorems in the linear magnetohydrodynamics with dissipative boundary conditions
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