Sinc Function

Creator
Creator
Seonglae Cho
Created
Created
2023 Mar 21 1:35
Editor
Edited
Edited
2023 Oct 10 14:49

Impluse reponse of an ideal lowpass filter is a sinc function

sinc(x)={sinxx,if x01,if x=0sinc(x) = \begin{cases} \frac{sinx}{x}, & \text{if } x \ne 0\\ 1, & \text{if } x=0 \end{cases}sinc(θ)=sin(πθ)πθsinc(\theta) = \frac{sin(\pi\theta)}{\pi\theta}
 
 

Fourier Transform
then
Rectangular function

 
 
 
 

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