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{...

Mar 12, 2021 · The integral of $\text {sinc}\ x=\dfrac {\sin\pi x} {\pi x}$ is 1. Indeed the Fourier Transform of $\text {sinc} (x)$ is the $\text {rect} (x)$ function, which is $1$ for $|x| < \frac {1} {2}$ and $0$ …

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 20, 2015 · Fourier transform of sinc function. Ask Question Asked 11 years, 1 month ago Modified 1 year, 9 months ago

Jul 8, 2018 · Here is a tested scheme for getting the maxima and minima of the sinc function. First of all, we all agree that we should set the derivative of the sinc function to zero.

How does a complex exponential turn into the sinc function? Ask Question Asked 11 years, 4 months ago Modified 5 years, 3 months ago

Dec 12, 2022 · It really looks like to some kind of sinc function to me, or something similar. Hence I try to approximate the Bessel function (which has a tough expression) with "nice" trigonometrical functions.

Apr 12, 2017 · I want a sinc function that is shifted away from the origin such that it's centered at some value $c$, and also equals zero at $x=0$. How can I define this function?