Solving linear integro-differential equations system by using rationalized Haar functions method

Using rationalized Haar wavelet for solving linear integral equations

Solution of nonlinear Volterra–Fredholm–Hammerstein integral equations via a collocation method and rationalized Haar functions

We present a computational method using Haar wavelets to determine the piecewise constant feedback controls for a finite-time linear optimal control problem of a time-varying state-delayed system. The method is simple and computationally advantageous. The approximate optimal trajectory and optimal control are calculated using the Haar wavelet integral, product, and delay operational matrices. An illustrative example is included to demonstrate the validity and applicability of the technique.

A computational method for optimal control problem of time-varying state-delayed systems by Haar wavelets

In this paper rationalized Haar functions are developed to approximate the solutions of the linear Fredholm integral equations system. Properties of rationalized Haar functions are first presented, the operational matrix of the product of rationalized Haar functions vector is utilized to reduce the computation of Fredholm integral equations system to some algebraic equations. Finally, numerical result are given which support the theoretical results. †E-mail: mirzaee@mail.iust.ac.ir

Numerical solution of linear Fredholm integral equations system by rationalized Haar functions method

A practical video bandwidth compression system is described in detail. Video signals are Haar transformed in 2 dimensions and the resulting transform coefficients are adaptively filtered to achieve reduced transmission data rates to less than 1 bit/pel, while maintaining good picture quality. Error detection and compensation is included into the transmission bit structure.© (1976) COPYRIGHT SPIE--The International Society for Optical Engineering. Downloading of the abstract is permitted for personal use only.

J. J. Reis

Papers

Adaptive Haar Transform Video Bandwidth Reduction System For RPV' s