Abstract. Recently efforts have been made to use generalized sinc functions to perfectly reconstruct various kinds of non-bandlimited signals. As a consequence, perfect reconstruction sampling formulas have been established using such generalized sinc functions. This article studies the error of the reconstructed non-bandlimited signal when an adaptive truncation scheme is employed. Further, wh...

In this paper, An effective and simple numerical method is proposed for solving systems of integral equations using radial basis functions (RBFs). We present an algorithm based on interpolation by radial basis functions including multiquadratics (MQs), using Legendre-Gauss-Lobatto nodes and weights. Also a theorem is proved for convergence of the algorithm. Some numerical examples are presented...

This work proposes k-space filters with the option to fine-tune filter's strength. The application is in MRI imaging. novelty of this paper multiplication filtering functions by Sinc Function so as obtain Sinc-shaped convolving function. effect visible where a central region formed and it acts filter. Worth noting Figure 12 finesse high-frequency components depicted intensity-curvature function...

The Sinc approximation is a function approximation formula that attains exponential convergence for rapidly decaying functions defined on the whole real axis. Even for other functions, the Sinc approximation still works accurately when combined with a proper variable transformation. The convergence rate has been analyzed for typical cases including finite, semi-infinite, and infinite intervals....

A novel printed antenna resembling a truncated SINC function is proposed for wireless communications. The proposed antenna functions either as a twisted dipole or two twisted back-to-back connected L-shape dipoles depending on the current mode. Due to the symmetry, the antenna supports an even or odd mode of current on the antenna and results in different design and performance considerations. ...

We resolve and further study a sinc integral evaluation, first posed in this Monthly in [1967, p. 1015], which was solved in [1968, p. 914] and withdrawn in [1970, p. 657]. After a short introduction to the problem and its history, we give a general evaluation which we make entirely explicit in the case of the product of three sinc functions. Finally, we exhibit some more general structure of t...

In this paper, it is presented that an approximate solution of a class non-linear differential equations with conformable derivative under boundary conditions by using sinc-Galerkin method not used to approximately solve the considered equation in literature. method, function expressed as finite series terms composite translated sinc functions and unknown coefficients. The problem reduced into ...

Different types of sinc integrals are investigated when the standard sine function is replaced by generalised sinp,q in two parameters. A striking generalisation improper Dirichlet integral achieved. second surprising but interesting identity between and that integrand sinc2 discovered. Moreover, an asymptotically sharpened form Ball's inequality obtained terms