Hmmm...  could be this:  if the FFT uses the *other* definition than the
one in the wiki, which is to put a 1/sqrt[N] in front of both the
transform and its inverse, then a bandwidth-limited signal (say a pure
sin) would have an amplitude twice as large for the 4096 as for the
1024 (4/sqrt[4]=2).  However, if you FFT the *same* white noise signal,
once with 1024 and once with 4096 samples, there will be a factor of 4
in the amplitude of the 1024 FFT because each frequency "bin" is four
times as large (that's a kind of aliasing) - so in the end the 1024 FFT
will have twice the amplitude of the 4096.

Anyway there are clearly lots of factors of 2 floating around - if
that's not the right explanation, hopefully it puts you on the right
track.


-- 
opaqueice
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