Amplitude truncation of Gaussian 1/f(alpha) noises: Results and problems.
An interesting property of Gaussian 1/f noise was found experimentally a few years ago: The amplitude truncation does not change the power spectral density of the noise under rather general conditions. Here we present a brief theoretical derivation of this invariant property of band-limited Gaussian 1/f noise and include 1/f(alpha) noises also with 0</=alpha<2. It is shown that when alpha</=1, a transformation of keeping only the sign of the zero-mean 1/f(alpha) noise does not alter the shape of the spectral density. The theoretical results are extended to truncation levels differing significantly from the mean value. Numerical simulation results are also presented to draw attention to unsolved problems of amplitude truncation using asymmetric levels. (c) 2001 American Institute of Physics.
Gingl
Zoltan
Z
Department of Experimental Physics, University of Szeged, Dom ter 9., Szeged, H-6725 Hungary.
Ishioka
Shunya
S
Choi
Donghak
D
Fuchikami
Nobuko
N