fossilesque@mander.xyzM to Science Memes@mander.xyzEnglish · 22 hours agooωomander.xyzimagemessage-square8fedilinkarrow-up1128arrow-down14
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minus-squarejjagaimo@sh.itjust.workslinkfedilinkEnglisharrow-up8·edit-219 hours ago w_s = 2 * pi * f_s 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
minus-squarezaphod@sopuli.xyzlinkfedilinkEnglisharrow-up3·10 hours 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.
Shouldn’t it be w>2πF_s?
w_s = 2 * pi * f_s
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
You need to sample at 2x the desired bandwidth, just bandpass filter the signal appropriately before sampling and you won’t get aliasing.