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- How does sinc interpolation work? - Mathematics Stack Exchange
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 interpolation : " This is equivalent to filtering the impulse train with an ideal (brick-wall) low-pass filter with gain of 1 (or 0 dB) in the
- Fourier Transform of sinc function (confused about
As indicated by Sean Lake, the definition of $\mathrm{sinc}$ can depend on the context Moreover, the definition of the Fourier transform also depends on the context
- How does a complex exponential turn into the sinc function?
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- Fourier transform of sinc function. - Mathematics Stack Exchange
Stack Exchange Network Stack Exchange network consists of 183 Q A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers
- Derivative of sinc function - Mathematics Stack Exchange
Stack Exchange Network Stack Exchange network consists of 183 Q A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers
- taylor expansion - Why do powers of $\operatorname {sinc}$ converge to . . .
So if I take the essential part of your answer, but I consider that your mapping from $\text{sinc}(x) \to \chi (u)$ is also the Inverse Fourier Transform then as you remarked, the $\chi (u)$ can all be thought of as pdfs of uniform random variables; the convolution $\chi ^{n*}$ = the pdf of their sum; CLT -> the limiting pdf is Gaussian; the
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