Two-Dimensional Interpolation Criterion Using Dft Coefficients

Dimensional interpolation of hard sphere virial coefficients

We examine the dependence on spatial dimension D of the Mayer cluster integrals that determine the virial coefficients B, for a fluid of rigid hyperspheres. The integrals vary smoothly with D, and can be characterized analytically in both the low-D and high-D limits. Dimensional interpolation (DI) allows one to evaluate individual Mayer cluster integrals at D = 2 and D = 3 to within about 1%. T...

Two-dimensional spline interpolation algorithms

Efficient Two-dimensional Frequency and Damping Estimation by Interpolation on Fourier Coefficients

This paper focuses on the efficient estimation of the frequencies and damping factors of a single two-dimensional (2-D) damped complex exponential in additive Gaussian noise. We derive the estimators by extending the FFT-based frequency estimator that relies on interpolation on Fourier coefficients to 2-D damped signals. Performance analysis shows that the algorithm can achieve minimum variance...

Coding of Coefficients of two-dimensional non-separable Adaptive Wiener Interpolation Filter

Standard video compression techniques apply motion-compensated prediction combined with transform coding of the prediction error. In the context of prediction with fractional-pel motion vector resolution it was shown, that aliasing components contained in an image signal are limiting the prediction accuracy obtained by motion compensation. In order to consider aliasing, quantisation and motion ...

Root Distribution and Stability Analysis of Two Dimensional Linear Discrete Systems Using Sign Criterion with Real Coefficients

A new idea was proposed to find out the stability and root location of two dimensional linear time invariant discrete system (LTIDS) for real coefficient polynomials. For determining stability the sign criterion is synthesized from the jury’s method for stability which is derived from the characteristic polynomial coefficients of the discrete system. The number of roots lying inside or outside ...