135

oωo (mander.xyz)

submitted 1 week ago by fossilesque@mander.xyz to c/science_memes@mander.xyz

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[-] Schneemann@discuss.tchncs.de 11 points 1 week ago

Shouldn't it be w>2πF_s?

[-] jjagaimo@sh.itjust.works 7 points 1 week ago* (last edited 1 week 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

[-] zaphod@sopuli.xyz 2 points 1 week 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.

[-] southsamurai@sh.itjust.works 7 points 1 week ago* (last edited 1 week ago)

Why are we measuring things in balls now?

[-] echolalia@lemmy.ml 7 points 1 week ago

Its standard practice for math equations involving spectral densities and Fourier transforms to use the testicles character for the independent variable.

Fourier analysis involves measuring the sampled strength of the signal at different points in time. Its also related to ARIMA models. Essentially, you're inspecting how cyclical some data is, and the testies are points in time.

By the way, there is an error in this meme, see the comment left by jjagaimo