Results 161 to 170 of about 5,978 (203)

Properties of extended Legendre wavelets

2008 International Conference on Wavelet Analysis and Pattern Recognition, 2008
The multiwavelet property of Legendre wavelets is obtained by multiresolution analysis of multiplicity. Taking advantage of the translation property of Legendre wavelets, the extended Legendre wavelets, defined on the interval (-r, r), is achieved through a translation operator transformation on Legendre wavelets.
null Xiao-Yang Zheng, null Xiao-Fan Yang, null Yong Wu   +2 more
openaire   +1 more source

Abel inversion using Legendre wavelets expansion

Journal of Quantitative Spectroscopy and Radiative Transfer, 2007
A new method is presented for reconstruction of the radially distributed emissivity from the line-of-sight projected intensity. The method is based on approximating the projected intensity profile by Legendre wavelets. The coefficients of the approximation are computed using the inner product of Legendre wavelets and the intensity profile.
Shuiliang Ma, Hongming Gao, Guangjun Zhang, Lin Wu   +3 more
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Legendre wavelet for power amplifier linearization

Analog Integrated Circuits and Signal Processing, 2015
Power amplifier (PA) plays a key role in transceivers for mobile communication systems and the improvement of the linearity of the PA becomes an objective of first importance. This paper proposes a novel linearization method for PA based on the Legendre wavelet possessing rich properties, so as to this technique combines the advantages of piecewise ...
Xiaoyang Zheng, Liyun Su, Shunren Hu, Zhiyong Ye, Jiangping He   +4 more
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The Legendre wavelets operational matrix of integration

International Journal of Systems Science, 2001
An operational matrix of integration P based on Legendre wavelets is presented. A general procedure for forming this matrix is given. Illustrative examples are included to demonstrate the validity and applicability of the matrix P.
M. Razzaghi, S. Yousefi
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Legendre wavelets direct method for variational problems

Mathematics and Computers in Simulation, 2000
A direct method for solving variational problems using Legendre wavelets is presented. An operational matrix of integration is first introduced and is utilized to reduce a variational problem to the solution of algebraic equations. Illustrative examples are included to demonstrate the validity and applicability of the technique.
M. Razzaghi, S. Yousefi
openaire   +1 more source

Extended Legendre Wavelets Neural Network

2008
Based on analyzing Legendre wavelets, this paper presents the extended Legendre wavelets (ELW), which is defined on the interval (i¾? r,r), and proves to be orthogonal. Furthermore, this paper constructs the extended Legendre wavelet neural network (ELWNN) by using the ELW functions instead of the activation functions of a multilayer perceptron neural ...
XiaoYang Zheng, XiaoFan Yang, Hong Su, Yong Wu   +3 more
openaire   +1 more source

Tree-Structured Legendre Multi-wavelets

2005
We address the problem of constructing multi-wavelets, that is, wavelets with more than one scaling and wavelet function. We generalize the algorithm, proposed by Alpert [1] for generating discrete Legendre multi-wavelets to the case of arbitrary, non-dyadic time interval splitting.
Ekaterina Pogossova, Karen Egiazarian, Atanas Gotchev, Jaakko Astola   +3 more
openaire   +1 more source

Solving linear integro-differential equation with Legendre wavelets

International Journal of Computer Mathematics, 2004
In this article, we use the continuous Legendre wavelets on the interval [0, 1) constructed by [M. Razzaghi and S. Yousefi, The Legendre wavelets operational matrix of integration, International Journal of Systems Science, 32(4) (2001) 495–502.] to solve the linear second kind integro-differential equations and construct the quadrature formulae for the
M. Tavassoli Kajani, A. Hadi Vencheh †
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Legendre Wavelets Method for Nonlinear Fractional Differences Equation

2010 First ACIS International Symposium on Cryptography, and Network Security, Data Mining and Knowledge Discovery, E-Commerce and Its Applications, and Embedded Systems, 2010
In this paper we consider a kind of polynomials-Legendre polynomials then we get Legendre wavelet. Legendre wavelet operational matrix of the fractional integration is derived and combined the property of operational matrix to solve nonlinear fractional differential equations, we give some example and the numerical example shows that the method is ...
Fengbo Hou, Yongbing Wu, Yiming Chen, Qian Wang   +3 more
openaire   +1 more source

Legendre wavelets method for constrained optimal control problems

Mathematical Methods in the Applied Sciences, 2002
AbstractA numerical method for solving non‐linear optimal control problems with inequality constraints is presented in this paper. The method is based upon Legendre wavelet approximations. The properties of Legendre wavelets are first presented. The operational matrix of integration and the Gauss method are then utilized to reduce the optimal control ...
Razzaghi, Mohsen, Yousefi, Sohrabali
openaire   +2 more sources