We address a problem of sampling and reconstructing periodic piecewise polynomials based on the theory for signals with a finite rate of innovation (FRI signals) from samples acquired by a sinc kernel. This problem was discussed in a previous paper. There was, however, an error in a condition about the sinc kernel. Further, even though the signal is represented by parameters, these explicit val...

We examined and compared the electrical properties of silica (SiO2) and silicon oxynitride (SiOxNy) layers embedding silicon nanoclusters (Sinc) integrated in metal-insulator-semiconductor (MIS) devices. The technique used for the deposition of such layers is the reactive magnetron sputtering of a pure SiO2 target under a mixture of hydrogen/argon plasma in which nitrogen is incorporated in the...

In this investigation, the Sinc collocation method based on double exponential transformation is developed to solve the Troesche's problem. Properties of this method are utilized to reduce the system of strongly nonlinear two point boundary value problem to same nonlinear algebraic equations. Combining double exponential transformation through Sinc collocation method causes the remarkable resul...

Abstract: In this paper, a Sinc-collocation method based on the double exponential transformation for solving Fredholm and Volterra Hammerstein integral equations is presented. Some properties of the Sinc-collocation method required for our subsequent development are given and utilized to reduce the computation of solution of the Hammerstein integral equations to some algebraic equations. Numer...

in this paper , numerical solotion of abel's integral equationby using the taylor expanssion of the unknown functionvia collection method based on sinc is considered...

The encapsulation of antifouling compounds, such as DCOIT (4,5-Dichloro-2-octylisothiazol-3(2H)-one), in mesoporous silica nanocapsules (SiNC) has recently been demonstrated to be an eco-friendly alternative decrease biocide toxicity towards marine non-target species. However, the lack information on chronic effects nanomaterials tropical species is critical for a more comprehensive environment...

A classical approach to interpolation of sampled data is polynomial interpolation. However, from the sampling theorem it follows that the ideal approach to interpolation is to convolve the given samples with the sinc function. In this paper we study the properties of the sinc-approximating kernels that can be derived from the Lagrange central interpolation scheme. Both the finite-extent propert...

In this paper we apply a regularized sinc method to compute the eigenvalues of a discontinuous Dirac systems, which contain eigenvalue parameter in one boundary condition, with transmission conditions at the point of discontinuity. The regularized technique allows us to insert some parameters to the well known sinc method; strengthening the existing technique and to avoid the aliasing error. Th...

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 ...

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...