this post was submitted on 28 Feb 2025
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Science Memes

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submitted 4 months ago by [email protected] to c/[email protected]
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[–] [email protected] 12 points 4 months ago (1 children)

Shouldn't it be w>2πF_s?

[–] [email protected] 8 points 4 months ago* (last edited 4 months ago) (1 children)

  1. w_s = 2 * pi * f_s

  2. since you need to sample at 2x or more the highest desired frequency to get proper reproduction, it should be w>(1/2)w_s

w > (1/2) w_s
w > (1/2) 2 pi f_s
w > pi f_s
[–] [email protected] 3 points 4 months ago

you need to sample at 2x or more the highest desired frequency to get proper reproduction

You need to sample at 2x the desired bandwidth, just bandpass filter the signal appropriately before sampling and you won't get aliasing.