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 …

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

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

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

Continuing from where we left off, we have that $$ 2 (\cos a \cos b + \sin a \sin b + \cos b \cos c + \sin b \sin c + \cos c \cos a + \sin c \sin a) + 3 = 0. $$ Now we write $3$ as $ (\cos^2 a + \sin^2 …

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 …