
Definition of Sinc function - Mathematics Stack Exchange
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{...
Fourier transform of sinc function - Mathematics Stack Exchange
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 …
How does sinc interpolation work? - Mathematics Stack Exchange
Sinc function = spectrum of a rectangular function Interpolation can be done in many ways. The particularity of the sinc interpolation is it's the only one mathematically perfect. A function can …
Fourier Transform of sinc function (confused about
As indicated by Sean Lake, the definition of sinc s i n c can depend on the context. Moreover, the definition of the Fourier transform also depends on the context.
$\\sin(x)$ infinite product formula: how did Euler prove it?
I know that sin(x) 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 …
real analysis - Numerically stable simplification of sinc function ...
Apr 26, 2018 · I would like to know if there is an alternate, explicit (non-iterative) form of the sinc function which behaves in a numerically stable way for all real numbers.
$L^2$ and uniform norm of $\\text{sinc}\\, x$ and its derivatives
The sinc function is the inverse Fourier transform of the characteristic function χ[−1,1] χ [− 1, 1], at least up to a constant:
How does a complex exponential turn into the sinc function?
How does a complex exponential turn into the sinc function? Ask Question Asked 10 years, 8 months ago Modified 4 years, 6 months ago
Derivative of sinc function - Mathematics Stack Exchange
Derivative of sinc function Ask Question Asked 13 years, 8 months ago Modified 9 years, 10 months ago
Dirac delta function as a limit of sinc function
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 …