Do Not to Forget to Square your Fourier Amplitudes
Since a power spectrum is the square of the Fourier amplitude,
if one forgets to take the square operation, a 1/f2
noise may be mistaken as a 1/f noise.
2001
-
J Davidsen, N Luethje (2001),
"Comment on "1/f noise in the Bak-Sneppen model",
Physical Review E, 63, 063101.
2000
-
Jorn Davidsen, Heinz Georg Schuster (2000),
"1/fa noise from self-organized critical models
with uniform driving",
Physical Review E, 62(5):6111-6115.
1991
-
Hans Jacob S Feder, Jens Feder (1991),
"Erratum: Self-organized criticality in a stick-slip process",
Physical Review Letters, 67(2):283.
[text: Because of a programming error the square root of the power
spectrum was used instead of the power spectrum itself. This means
that the correct result is that we observe S(f) ~ 1/f2
noise (instead of 1/f noise as stated). Thus the slope in Fig. 3 is
cphi = 2 +- 0.06. We conclude that 1/f2 noise is observed,
as in the sandpile experiments]
1989
-
Henrik Jeldtoft Jensen,
Kim Christensen,
Hans C Fogedby (1989),
"1/f noise, distribution of lifetimes, and a pile of sand",
Physical Review B, 40(10):7425-7427.
[Comment: this is the paper that pointed out that the 1/f noise
claimed in Bak,Tang,Wiesenfeld (1987) paper is actually 1/f2
noise.]
1987
-
Per Bak, Chao Tang, Kurt Wiesenfeld (1987),
"Self-organized criticality: an explanation of the 1/f noise",
Physical Review Letters, 59(4):381-384.
