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 …

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 …

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 …

Jan 31, 2017 · I came across the definition of the sinc function when it is normalized as sinc(t)= sin(pi.t)/pi.t. So if we scale the argument of the normalized sinc function as sinc(at), will that …

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 …

Aug 27, 2015 · Derivative of sinc function Ask Question Asked 14 years, 1 month ago Modified 10 years, 2 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 …

Jun 24, 2015 · In addition, the sinc function is often defined in terms of sin (pi x)/ (pi x), as is the case in the original post. In this case, the FWHM is less by a factor of pi.