fossilesque@mander.xyzM to Science Memes@mander.xyzEnglish · 1 year agooωomander.xyzimagemessage-square7linkfedilinkarrow-up1143arrow-down15
arrow-up1138arrow-down1imageoωomander.xyzfossilesque@mander.xyzM to Science Memes@mander.xyzEnglish · 1 year agomessage-square7linkfedilink
minus-squarejjagaimo@sh.itjust.workslinkfedilinkEnglisharrow-up8·1 year 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-up3·1 year 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_ssince you need to sample at 2x or more the highest desired frequency to get proper reproduction, it should be
w>(1/2)w_sw > (1/2) w_s w > (1/2) 2 pi f_s w > pi f_sYou need to sample at 2x the desired bandwidth, just bandpass filter the signal appropriately before sampling and you won’t get aliasing.