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 …

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{...

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 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 …

Jan 20, 2015 · Fourier transform of sinc function. Ask Question Asked 10 years, 11 months ago Modified 1 year, 7 months ago

Nov 25, 2024 · Looking at the generality of results like the central limit theorem, as well as questions like this - is it just incidental that $\text {sinc}$ was the function I happened to be …

Aug 27, 2015 · Derivative of sinc function Ask Question Asked 14 years, 3 months ago Modified 10 years, 4 months ago

How was Euler able to create an infinite product for sinc by using its roots? Ask Question Asked 13 years, 8 months ago Modified 11 years, 9 months ago

Jun 4, 2022 · which is the sinc function. The simplest way would be to recognize that the (inverse) Fourier transform of the box function is the sinc. This implies that the Fourier transform of F(k …

Jan 2, 2015 · A related proof is by Fourier transforms. Here's a sketch of this proof: The sinc function (with appropriate scaling) is the Fourier transform of the indicator function of an …