Chebfun is an established software system for computing with functions of a real variable, but its capabilities for handling functions with singularities are limited. Here an analogous system is described based on sinc function expansions instead of Chebyshev series. This experiment sheds light on the strengths and weaknesses of sinc function techniques. It also serves as a review of some of th...

This article is a response to E. Heit and B. K. Hayes’s (2005) comment on the target article “Induction and Categorization in Young Children: A Similarity-Based Model” (V. M. Sloutsky & A. V. Fisher, 2004a). The response discusses points of agreement and disagreement with Heit and Hayes; phenomena predicted by similarity, induction, naming, and categorization (SINC); and relationships between S...

We investigate the behavior of imperfect band-limited occulting masks in a high-contrast imaging system through modeling and simulations. Grayscale masks having 1D Sinc(2) (linear-Sinc(2)) amplitude transmission coefficient (Sinc(4) intensity transmittance) profiles as well as optical density and wavelength-dependent parasitic phases are considered occulters. We compare the behaviors of several...

Abstract The purpose of this paper is the evaluation Fourier transform powers sinc function multiplied by monomials, also in cases when log terms arise. Such evaluations appear only rarely literature. Some old sources are hardly available. Because notations not use today, several original works difficult to read. We apply an approach J. H. Michell a variant G. Hardy integrals over and their tra...

The problem of digital signal and image resampling with discrete sinc interpolation is addressed. Discrete sine interpolation is theoretically the best one among the digital convolution-based signal resampling methods because it does not distort the signal as defined by its samples and is completely reversible. However, sinc interpolation is frequently not considered in applications because it ...

A block matrix formulation is presented for the Sinc-Galerkin technique applied to the wind-driven current problem from oceanography. The block matrix form is used to determine an approximate solution for the coupled system of differential equations describing the wind-driven current problem. The approximate solution determined by this new Sinc-Galerkin scheme is compared to the approximate sol...

Congenic mouse strains VM/Dk and VM-Sincs7/Dk differ at the Sinc gene, which controls the incubation period of scrapie in mice; VM/Dk mice are Sincp7p7 and VM-Sincs7/Dk mice are Sincs7s7. Restriction fragment length polymorphism and DNA sequencing analysis demonstrated that the PrP genes also differ in these strains, confirming the close genetic linkage of Sinc and PrP. Using the restriction en...

Six forest tree height inversion methods of polarimetric SAR interferometry were validated using repeat pass E-SAR datasets and the corresponding ground measured forest stand height. We show that SINC, three stage full model and three stage SINC inversions have good performance, and the SINC inversion with the first optimum coherence (OPT1) produces the best result among the eleven coherence ty...

Sinc-shaped Nyquist pulses possess a rectangular spectrum, enabling data to be encoded in a minimum spectral bandwidth and satisfying by essence the Nyquist criterion of zero inter-symbol interference (ISI). This property makes them very attractive for communication systems since data transmission rates can be maximized while the bandwidth usage is minimized. However, most of the pulse-shaping ...