flac --ogg "white noise uniform.wav"

oggenc "white noise uniform.wav"

sox "white noise uniform.wav" -e stat

${\displaystyle 20\log _{10}(\mathrm {RMS\ amplitude} )}$

Histogram derived from hist(white,100,1)

Frequency analysis in Audacity.

First generate 10 seconds of Gaussian white noise sampled at 48 kHz: white=randn(48000*10+1,1);

Then differentiate it and normalize it to [-1.0, 1.0), so it can be written to a .wav file:

purple=diff(white);
purple=purple/(max(abs(purple)));
wavwrite(purple,48000,16,'purple.wav');