Wavelet approximation of a function using Chebyshev wavelets

Superfast Wavelet Transform Using QTT Approximation. I: Haar Wavelets

We propose a superfast discrete Haar wavelet transform (SFHWT) as well as its inverse, using the QTT representation for the Haar transform matrices and input-output vectors. Though the Haar matrix itself does not have a low QTT-rank approximation, we show that factor matrices used at each step of the traditional multilevel Haar wavelet transform algorithm have explicit QTT representations of lo...

Function Approximation Using Robust Wavelet Neural Networks

Wavelet neural networks (WNN) have recently attracted great interest, because of their advantages over radial basis function networks (RBFN) as they are universal approximators but achieve faster convergence and are capable of dealing with the so-called “curse of dimensionality.” In addition, WNN are generalized RBFN. However, the generalization performance of WNN trained by least-squares appro...

Design Algorithms for Doppler MTI and Filters (Using Chebyshev Approximation)

Design Algorithms for Doppler MTI and Filters (Using Chebyshev Approximation)

Numerical solution of optimal control problems by using a new second kind Chebyshev wavelet

The main purpose of this paper is to propose a new numerical method for solving the optimal control problems based on state parameterization. Here, the boundary conditions and the performance index are first converted into an algebraic equation or in other words into an optimization problem. In this case, state variables will be approximated by a new hybrid technique based on new second kind Ch...