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{...

Sinc interpolation is basically just supersampling by padding your spectrum and transforming back (with higher frequencies, the sample rate is now shorter and you get intermediate values). It's what you …

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 material...

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

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

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 start with the

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 interval centered at …

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

Jul 4, 2015 · An (arguably) elegant way to avoid any discontinuity problems is to define sinc as the Fourier transform of the box function. Since that is compactly supported, its transform is continuous …

Aug 27, 2017 · The normalized sinc sinc function can be integrated similarly, except you will have to first use a change of variable on the integral in order to apply the definition of the Sine Integral.