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: …

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 …

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When mathematicians say $\operatorname{sinc}(x)$ they usually mean $\sin(x)/x$. When information or signal processing people say it, they usually mean $\sin(\pi x)/(\pi x)$. So you're …

The sinc function is the inverse Fourier transform of the characteristic function $\chi_{[-1,1]}$, at least up to a constant: $$ \begin{align} \chi_{[-1,1]}^{\vee}(x ...

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 …

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 …

2015年7月24日 · Three steps are required to perform a sinc interpolation on discrete samples: Create sinc pulses, one per sample, centered on the sample. As said sinc pulses have an …

2015年1月20日 · Let us consider the $\mathrm{sinc}$ function: \begin{equation} \mathrm{sinc}(x)= \begin{cases} \frac{ \sin(\pi x)}{\pi x} \qquad &x \not= 0,\\ 1\qquad …

2019年3月4日 · I am not sure how to prove this series for the sinc function: $$\text{sinc}(x)=2\cos\left(\frac{x}{2}\right)\sum_{n = 0}^\infty\frac{(-1)^n x^{2 n}}{2^{2 n + 1}(2 n ...