I just want to make clear of the definition of sinc(x). I know there is a normalized and unnormalized definition for the sinc function. If we have unnormalized sinc then we have: $$\\sin(x)/x=\\text{...

Convolution with sinc pulses What we want to do to reconstruct the signal is a convolution between the samples and scaled and shifted versions of sinc. This technique is known as …

Let us consider the Fourier transform of $\\mathrm{sinc}$ function. As I know it is equal to a rectangular function in frequency domain and I want to get it myself, I know there is a lot of …

Oct 5, 2011 · Derivative of sinc function Ask Question Asked 14 years, 3 months ago Modified 10 years, 4 months ago

Jan 20, 2015 · Fourier transform of sinc function. Ask Question Asked 10 years, 11 months ago Modified 1 year, 7 months ago

1 Cf. this article What is the sum of a sinc function series sampled periodically . This article excellently describes the relation between the sum of a periodic sinc sampling function and the …

Integral of Sinc Function Squared Over The Real Line [duplicate] Ask Question Asked 11 years, 4 months ago Modified 11 years, 4 months ago

Apr 24, 2012 · We know that the Fourier transform of the sinc function is the rectangular function (or top hat). However, I'm at a loss as to how to prove it. Most textbooks and online sources …

Nov 25, 2024 · Looking at the generality of results like the central limit theorem, as well as questions like this - is it just incidental that $\text {sinc}$ was the function I happened to be …

Jan 2, 2015 · A related proof is by Fourier transforms. Here's a sketch of this proof: The sinc function (with appropriate scaling) is the Fourier transform of the indicator function of an …