Convergence of p-Stable Random Fractional Wavelet Series and Some of Its Properties

IEEE Transactions on Information Theory ◽

10.1109/tit.2020.2987790 ◽

2020 ◽

Vol 66 (9) ◽

pp. 5866-5874

Author(s):

Juan Miguel Medina ◽

Fernando Ruben Dobarro ◽

Bruno Cernuschi-Frias

Keyword(s):

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Wavelet series built using multifractal measures

Comptes Rendus Mathematique ◽

10.1016/j.crma.2005.06.029 ◽

2005 ◽

Vol 341 (6) ◽

pp. 353-356 ◽

Author(s):

Julien Barral ◽

Stéphane Seuret

Keyword(s):

Multifractal Measures ◽

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Position control of industrial robotic manipulator using variable structure control system with single term Haar wavelet series method

Journal of Vibration and Control ◽

10.1177/1077546313513056 ◽

2013 ◽

Vol 21 (12) ◽

pp. 2465-2483 ◽

Author(s):

S Nandhakumar ◽

V Muthukumaran ◽

K Soorya Prakash ◽

VK Shunmughanaathan

Keyword(s):

Control System ◽

Position Control ◽

Variable Structure Control ◽

Variable Structure ◽

Robotic Manipulator ◽

Haar Wavelet ◽

Series Method ◽

Structure Control ◽

Single Term ◽

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Fractal graphs and wavelet series

Physics Letters A ◽

10.1016/0375-9601(90)90410-p ◽

1990 ◽

Vol 143 (9) ◽

pp. 443-447 ◽

Author(s):

H.-G. Stark

Keyword(s):

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A Fourier formulation of the Frostman criterion for random graphs and its applications to wavelet series

Applied and Computational Harmonic Analysis ◽

10.1016/s1063-5203(03)00002-2 ◽

2003 ◽

Vol 14 (1) ◽

pp. 75-82 ◽

Author(s):

Antoine Ayache ◽

François Roueff

Keyword(s):

Random Graphs ◽

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Convergence and divergence of wavelet series: multifractal aspects

Proceedings of the London Mathematical Society ◽

10.1112/plms.12239 ◽

2019 ◽

Vol 119 (2) ◽

pp. 547-578

Author(s):

Frédéric Bayart

Keyword(s):

Convergence And Divergence ◽

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MINIMIZATION OF CIRCUIT DESIGN USING PERMUTATION OF HAAR WAVELET SERIES

Journal of Circuits System and Computers ◽

10.1142/s0218126605002453 ◽

2005 ◽

Vol 14 (03) ◽

pp. 483-495

Author(s):

BOGDAN J. FALKOWSKI ◽

RADOMIR S. STANKOVIĆ ◽

DRAGAN JANKOVIĆ

Keyword(s):

Wavelet Transform ◽

Circuit Design ◽

Haar Wavelet ◽

Circuit Synthesis ◽

Circuit Realization ◽

Haar Wavelet Transform ◽

Haar Functions ◽

The paper discusses complexity of circuit realization through Haar wavelet series. The efficiency in circuit synthesis using a method for minimization of the number of non-zero Haar coefficients by permutation of binary coordinates of indices of Haar functions is considered. Some applications of Haar wavelet transform and efficient ways of its calculation for logic domain are also discussed.

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Synthesis of multiple tasks of a planar six-bar mechanism by wavelet series

Inverse Problems in Science and Engineering ◽

10.1080/17415977.2018.1469627 ◽

2018 ◽

Vol 27 (3) ◽

pp. 388-406 ◽

Author(s):

Jianwei Sun ◽

Peng Wang ◽

Wenrui Liu ◽

Jinkui Chu ◽

Luquan Ren

Keyword(s):

Multiple Tasks ◽

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Wavelet Approximation of Functions Belonging to Generalized Lipschitz Class by Extended Haar Wavelet Series and its Application in the Solution of Bessel Differential Equation Using Haar Operational Matrix

International Journal of Applied and Computational Mathematics ◽

10.1007/s40819-019-0646-7 ◽

2019 ◽

Vol 5 (3) ◽

Author(s):

Shyam Lal ◽

Priya Kumari

Keyword(s):

Differential Equation ◽

Operational Matrix ◽

Haar Wavelet ◽

Lipschitz Class ◽

Approximation Of Functions ◽

Wavelet Approximation ◽

Bessel Differential Equation ◽

Generalized Lipschitz Class ◽

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An application of single-term Haar wavelet series in the solution of nonlinear oscillator equations

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2008.03.012 ◽

2009 ◽

Vol 227 (2) ◽

pp. 234-244 ◽

Author(s):

N.M. Bujurke ◽

S.C. Shiralashetti ◽

C.S. Salimath

Keyword(s):

Nonlinear Oscillator ◽

Haar Wavelet ◽

Single Term ◽

Oscillator Equations ◽

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From Multifractal Measures to Multifractal Wavelet Series

Journal of Fourier Analysis and Applications ◽

10.1007/s00041-005-5006-9 ◽

2005 ◽

Vol 11 (5) ◽

pp. 589-614 ◽

Author(s):

Julien Barral ◽

Stéphane Seuret

Keyword(s):

Multifractal Measures ◽

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