Wavelet Bases
On the influence of frequency selectivity of wavelet bases for relative wavelet entropy-based structural damage localization
... Abstract— Wavelet analysis of vibration signals measured by sensors placed on dynamically excited linear structures has proved to be an effective tool for detection and localization of structural ...relative ...
14
Wavelet Bases Made of Piecewise Polynomial Functions: Theory and Applications
... these wavelet bases in some applications, initially we focus on integral kernel ...the wavelet bases, when boundary integral methods or some of their variations are used, they can be ...
21
Construction of Orthonormal Piecewise Polynomial Scaling and Wavelet Bases on Non-Equally Spaced Knots
... and wavelet bases construction is closely related to the multiresolution ...or wavelet ba- sis is defined as a set of translations and dilations of one pro- totype ...and wavelet bases, ...
13
A New Scheme for the Design of Hilbert Transform Pairs of Biorthogonal Wavelet Bases
... biorthogonal wavelet bases, it has been shown that the requirements of the equal- magnitude responses and the half-sample phase offset on the lowpass filters are the necessary and sufficient ...biorthogonal ...
7
Pre wavelet bases in Lebesgue spaces
... dual wavelet basis of the pre-wavelet basis has been constructed, and it has the same decay as the ...Riesz wavelet bases discussed earlier had only put emphasis on the wavelet ...
16
Adaptive Multi-Scale Shallow Flow Model: a Wavelet-Based Formulation
... of wavelet bases to re-formulate a finite volume (FV) local solution of the shallow water equations (SWEs), so as to achieve mesh adaptivity via local compression and truncation of the numerical solution’s ...
8
Legendre Wavelet Neural Networks for Power Amplifier Linearization
... Legendre wavelet bases are expressed in closed form; adaptive piecewise approximation at different decomposition level; overcome the stagnation in the nonlinear system ...
8
Comparative Study on Natural Image denoising in DWT and Contourlet Transform using Bayes Shrinkage Technique
... the wavelet families is best fit for speckle noise removal than Gaussian ...of wavelet bases are equally perform well in removing speckle and Gaussian ...Biorthogonal wavelet base is somewhat ...
13
ADAPTIVE METHODS FOR SOLVING OPERATOR EQUATIONS BY USING FRAMES OF SUBSPACES
... The aim of the paper is to study the application of frames of subspaces in designing adaptive iterative methods for solving operator equations. Usually these operators are defined on a bounded domain or a closed manifold ...
12
Existence of solution and solving the integro-differential equations system by the multi-wavelet Petrov-Galerkin method
... In this paper, we proved existence of solution for integro-differential system and also we used Alpert multi-wavelet bases to solve system of integro-differential equations. Suitable choices of test and ...
12
Characteristic Vectors in p/q-Channel Orthonormal Wavelet
... Abstract: Wavelet analysis is a newly rapidly developing subject in the late twentieth ...tool, wavelet analysis has many advantages over other time-frequency tools, such as in signal processing, image ...
5
Anisotropic curl free wavelets with boundary conditions
... curl-free wavelet bases have been advocated in several papers and all results focus on the cases of R and R ...called bases and whether they can be used to characterize Sobolev ...corresponding ...
10
Interpolatory curl free wavelets on bounded domains and characterization of Besov spaces
... curl-free wavelet bases have been advocated in sev- eral articles and most of the study focus on the cases of R 2 and R 3 ...corresponding wavelet bases on bounded domains because of some ...
13
A Novel Image Reconstruction Algorithm Based on Concatenated Dictionary
... cosine bases, contourlet bases and Symlet series wavelet bases (sym1- sym10) to construct the redundant ...images bases on concatenated dictionary is better than those based on general ...
6
An Explicit Algorithm for the Construction of 3-Band Wavelet Frames Based on FMRA
... computer classification and recognition, artificial synthesis of music and language etc. It is well known that the multiresolution analysis (MRA for short) is a systematic method for constructing orthonormal ...
6
4-Tap Wavelet Filters Using Algebraic Integers
... via wavelet thresholding have shown that various wavelet thresholding schemes for denoising have near-optimal properties in the minimax sense and perform well in simulation studies of one-dimensional curve ...
6
Dual Tree Complex Wavelet Transform for Medical Image Fusion
... un-decimated wavelet transform still cannot distinguish between opposing diagonals since the transform is still ...complex wavelet filters which can be made to suppress negative frequency ...
6
Wavelet type frames and wavelet type bases
... and wavelet theory in a wide ...and bases, called wavelet-type frames and wavelet-type bases, obtained by acting with a family of bounded linear operators on some vectors, and then ...
9
A COMPREHENSIVE REVIEW ON WAVELET TRANSFORM AND ITS APPLICATIONS
... decades Wavelet Transform (WT) has drawn attention by mathematicians and researchers for its multiple outputs at different frequency bands called ...scales. Wavelet theory involves representation of general ...
11
µ-bases and Algebraic Moving Frames: Theory and Computation.
... A natural generalization of the µ -basis problem is obtained by considering kernels, or nullspaces, of m × n polynomial matrices. A basis of the nullspace is called minimal if the “minimal degree” Statement 2 of ...
141