Three new techniques for frequency measurement are proposed in the paper. The first is a modified zero crossing method using curve fitting of voltage samples. The second method is based on polynomial fitting of the DFT quasistationary phasor data for calculation of the rate of change of the positive sequence phase angle. The third method o p erates on a complex signal obtained by the standard t...

We consider the problem of fitting a set of points in Euclidean space by an algebraic hypersurface. We assume that points on a true hypersurface, described by a polynomial equation, are corrupted by zero mean independent Gaussian noise, and we estimate the coefficients of the true polynomial equation. The adjusted least squares estimator accounts for the bias present in the ordinary least squar...

The objective of this paper is to study the performance of a sixth order polynomial approach to model hysteresis behaviour of a magnetorheological (MR) damper under harmonic excitations. The polynomial model is developed based on curve fitting from the experimental results and consists of a pair subsystem namely positive and negative acceleration which correspond to the upper and lower curves. ...

A method is discussed to test differences in relative growth rates. This method is based on an analysis of variance, with ln-transformed plant weight as dependent variable. A significant Group × Time interaction indicates differences in relative growth rates between groups. The advantages over the "classical" and "functional" growth analyses are: (1) No pairing procedure is required. (2) More t...

The k Fitting ideal of the Alexander invariant B of an arrangement A of n complex hyperplanes defines a characteristic subvariety, Vk(A), of the complex algebraic torus (C). In the combinatorially determined case where B decomposes as a direct sum of local Alexander invariants, we obtain a complete description of Vk(A). For any arrangement A, we show that the tangent cone at the identity of the...

We present a method for obtaining the phase of a noisy simulated interferogram. We find the wave-front aberrations by transforming the problem of fitting a polynomial into an optimization problem, which is then solved using an evolutionary algorithm. Our experimental results show that our method yields a more accurate solution than other methods commonly used to solve this problem.

Using the notion of Dubiner distance, we give an elementary proof of the fact that good covering point configurations on the 2-sphere are optimal polynomial meshes. From these we extract CaratheodoryTchakaloff (CATCH) submeshes for compressed Least Squares fitting. 2010 AMS subject classification: 41A10, 65D32.

We present the software package WAM, written in Matlab, that generates Weakly Admissible Meshes and Discrete Extremal Sets of Fekete and Leja type, for 2d and 3d polynomial least squares and interpolation on compact sets with various geometries. Possible applications range from data fitting to high-order methods for PDEs.

In this paper I am interested in investigating automatic model selection in local polynomial fitting, in particular the method of bandwidth and order selection introduced by Fan and Gijbels. I will discuss computational aspects of these methods. Finally I will introduce a method of automatically selecting the quantity and location of a set of local polynomials.

The term structure of interest rates has been a hot topic in the financial sector. With the accelerating process of interest rate liberalization, to seek a representative benchmark interest rate of the market is basis for the fixed income products pricing. This paper using Nelson-Siegel-Svensson model and polynomial spline model fitting analysis is carried out on bond transaction data of Shangh...