ON THE UBIQUITY OF 1/f NOISE
1989 ◽
Vol 03
(06)
◽
pp. 795-819
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Keyword(s):
A generic mechanism for the ubiquitous phenomenon of 1/f noise is reviewed. This mechanism arises in random processes expressible as a product of several random variables. Under mild conditions this product form leads to the log-normal distribution which we show straightforwardly generates 1/f noise. Thus, 1/f noise is tied directly to a probability limit distribution. A second mechanism involving scaling is introduced to provide a natural crossover from log-normal to inverse power-law behavior and generates 1/fα noise instead of pure 1/f noise. Examples of these distributions and the transitions between them are drawn from such diverse areas as economics, scientific productivity, bronchial structure and cardiac activity.
1992 ◽
Vol 263
(1)
◽
pp. R141-R147
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Keyword(s):
2007 ◽
Vol 10
(01)
◽
pp. 29-51
◽
2006 ◽
Vol 17
(10)
◽
pp. 1429-1436
◽
Keyword(s):
Keyword(s):
2016 ◽
2016 ◽
Vol 16
(11)
◽
pp. 7067-7090
◽