Difference between revisions of "Sinc"
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| − | File: | + | File:Sincplot.png|Plot of $\mathrm{sinc}$ on $[-15,15]$. |
| − | File:Complexsincplot.png|[[Domain coloring | + | File:Complexsincplot.png|[[Domain coloring]] of $\mathrm{sinc}$. |
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=Properties= | =Properties= | ||
| − | + | [[Sum of values of sinc]]<br /> | |
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[https://www.youtube.com/watch?v=xx2AQz_ZyC0 Integrating the sinc function]<br /> | [https://www.youtube.com/watch?v=xx2AQz_ZyC0 Integrating the sinc function]<br /> | ||
| − | < | + | =See also= |
| + | [[Normalized sinc]]<br /> | ||
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Latest revision as of 02:19, 16 September 2016
The $\mathrm{sinc}$ function (sometimes called the "unnormalized" $\mathrm{sinc}$ function) is defined by $$\mathrm{sinc}(z) = \left\{ \begin{array}{ll} \dfrac{\sin z}{z} &; z \neq 0 \\ 1 &; z=0. \end{array} \right.$$ It appears in the definition of the Sine integral function.
Plot of $\mathrm{sinc}$ on $[-15,15]$.
Domain coloring of $\mathrm{sinc}$.
Properties
Videos
Infinite Product Evaluation with the Sinc Function
(The Sinc Function) Inverse Fourier Transform of Sinc & Fourier Transform of Sinc
Fourier Transform of a Sinc Function (or Inverse Fourier Transform of a Low Pass Filter)
Discrete-Time Signals and Systems Introduction (4/6): Special Functions
Integrating the sinc function
