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...

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 Whittaker–Shannon …

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{...

Thank you for your reply! Convolution of a function with the Dirichlet kernel produces the partial sum representing the function after forward and inverse Fourier transform. Does it make any sense to call …

Jan 11, 2012 · The convolution of a sinc and a gaussian is the Fourier transform of the product of a rect and a gaussian which is a truncated gaussian. Maybe looking at the problem in the transform domain …

Jan 2, 2015 · The sinc function (with appropriate scaling) is the Fourier transform of the indicator function of an interval centered at $0$. The delta function is the Fourier transform of the constant …

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 start with the

Integral of Sinc Function Squared Over The Real Line [duplicate] Ask Question Asked 11 years, 3 months ago Modified 11 years, 3 months ago

Jan 20, 2015 · Fourier transform of sinc function. Ask Question Asked 10 years, 10 months ago Modified 1 year, 5 months ago

I know that $\\sin(x)$ can be expressed as an infinite product, and I've seen proofs of it (e.g. Infinite product of sine function). I found How was Euler able to create an infinite product for sinc...