Re: randomized white noise = white noise?

If the random order is really uncorrelated with the signal contained in
the data stream, and there is no dependence of the sample you take next
to what was taken before, you should end up with a spectral
distribution with the same characteristics as the same size set of
samples of white noise--it will, of course, be band limited by the
sampling rate and length of the stream. You will end up with white
noise even if you start with a spectrally pure tone. You will have
whatever amplitude distribution is in the data, assuming you take each
point once and only once. Try it. It's reasonably easy in Scilab or
Matlab.

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