Re:Fourier Transforms – The Math Trick Behind MP3s, JPEGs, a...
by kkjkok on Wednesday November 06, 2013 @03:17PM
(#6685201)
Nope - the amount of numbers is in fact identical. The discrete Fourier transform has redundant information in bins above NFFT/2 (where NFFT is the size of the transform/number of samples in the signal) for purely real valued input. This means the "number of numbers" is the same - NFFT/2 bins of necessary complex values after transformation, versus NFFT real values in the original series.
In a way, it's twice as many, since they have both real and imaginary components.