Using FFT for data compression step is this a lossy method?

tshuck

Joined Oct 18, 2012
3,534
Ah, yes, I was assuming a non-trivial signal with many harmonics... if you are recording simple sinusoids, within a restricted range, you shouldn't have any loss.

As crutschow has alluded to, it depends on the types of waveforms you are trying to record....
 

crutschow

Joined Mar 14, 2008
34,418
To answer you original question, yes the Fourier transform can be a lossy method of compression, as determined by the number of coefficients. The more coefficients, the more the recovered waveform will match the original. So you trade off accuracy for amount of data transmitted. For example, here's a study that looks at that issue.
 
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