A popular technique for time delay estimation is to use an FIR #lter to model the time di-erence and the #lter weights are interpolated with a sinc function to obtain the delay estimate. However, the sinc interpolator requires a su/ciently long #lter length for accurate delay estimation. In this paper, we propose to process the #lter weights via a least-squares-based method in order to acquire ...

Fourier-based regularisation is considered for the support vector machine classification problem over absolutely integrable loss functions. By invoking the modest assumption that the decision function belongs to a Paley-Wiener space, it is shown that the classification problem can be developed in the context of signal theory. Furthermore, by employing the Paley-Wiener reproducing kernel, namely...

This paper is devoted to investigating the numerical solution for a class of fractional diffusion-wave equations with a variable coefficient where the fractional derivatives are described in the Caputo sense. The approach is based on the collocation technique where the shifted Chebyshev polynomials in time and the sinc functions in space are utilized, respectively. The problem is reduced to the...

Abstract We rigorously investigate the rapidly oscillating contributions in sinc-function representation of Dirac delta function and Fourier transform Coulomb potential. Beginning with a derivation standard integral Heaviside step function, we examine that contains sinc function. By contour integration, prove satisfies properties although it is divergent at nonzero points. This good pedagogical...

The effects of doping bare silicon clusters with carbon on their physical properties are of fundamental interest for the chemistry of the interstellar medium and the development of novel nanostructures in materials science. Carbon-doped silicon clusters (SinC, n = 3-8) are characterized in the gas phase with infrared-ultraviolet two-color ionization (IR-UV2CI) spectroscopy, mass spectrometry, a...

When the heat equation and wave equation are approximated by ut = −Ku and utt = −Ku (discrete in space), the solution operators involve e−Kt, √K, cos(√Kt), and sinc( √ Kt). We compute these four matrices and find accurate approximations with a variety of boundary conditions. The second difference matrix K is Toeplitz (shift-invariant) for Dirichlet boundary conditions, but we show why e−Kt also...

MRI myocardial tagging offers a tremendous opportunity to quantitatively, serially and noninvasively examine the intramyocardial motion and deformation [l-51. The ideal presaturation or tagging stripe should be of rectangular intensity profile and controllable width with respect to the distance between adjacent stripes. Here we propose a sinc modulated RF pulse train that offers sharper-edged t...