Fitting discrete aspherical surface sag data using orthonormal polynomials

Generalized Systolic Arrays for Discrete Transforms based on Orthonormal Polynomials

Many discrete transforms, such as the discrete cosine transform (DCT), are derived from sets of orthonormal polynomials. These sets of polynomials all possess recursion relationships, derived from a classic identity. In this paper, this recursion is used to derive generalized systolic arrays for the forward and inverse transform operations.

A continuous approximation fitting to the discrete distributions using ODE

The probability density functions fitting to the discrete probability functions has always been needed, and very important. This paper is fitting the continuous curves which are probability density functions to the binomial probability functions, negative binomial geometrics, poisson and hypergeometric. The main key in these fittings is the use of the derivative concept and common differential ...

Least-Squares Fitting of Data with Polynomials

Broadband macromodelling of passive components using orthonormal vector fitting

Vector fitting is widely accepted as a robust macromodelling tool for efficient frequency domain identification of passive components. The orthonormal vector fitting technique is introduced, which improves the numerical stability of the method, by using orthonormal rational functions. This leads to better conditioned equations, reduces the numerical sensitivity to the choice of starting poles s...

A numerical study of electrohydrodynamic flow analysis in a circular cylindrical conduit using orthonormal Bernstein polynomials

In this work, the nonlinear boundary value problem in electrohydrodynamics flow of a fluid in an ion-drag configuration in a circular cylindrical conduit is studied numerically. An effective collocation method, which is based on orthonormal Bernstein polynomials is employed to simulate the solution of this model. Some properties of orthonormal Bernstein polynomials are introduced and utilized t...