Modeling 1/f Noise
B.Kaulakys and T.Meskauskas
Physical Review E, 58(6):7013-7019 (1998)
Abstract
The noise of signals or currents consisting from a sequence
of pulses, elementary events or moving discrete objects (particles)
is analyzed. A simple analytically solvable model is investigated
in detail both analytically and numerically. It is shown that 1/f
noise may result from the statistics of the pulses transit times
with random increments of the time intervals between the pulses.
The model also serves as a basis for revealing parameter dependences
of 1/f noise and allows one to make some generalizations. As a
result the intensity of 1/f noise is expressed through the
distribution and characteristic functions of the time intervals
between the subsequent transit times of the pulses. The conclusion
that 1/f noise may result from the clustering of the signal pulses,
elementary events or particles can be drawn from the analysis of
the model systems.
