Pseudo-periodicity and 1/f noise from the sum of similar intermittent signals

Physics – Data Analysis – Statistics and Probability

Scientific paper

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11 pages, 4 figures

Scientific paper

The usual interpretation of noise is represented by a sum of many independent two-level elementary random signals with a distribution of relaxation times. In this paper it is demonstrated that also the superposition of many similar single-sided two-level signals, with the same relaxation time, produces noise. This is possible tanks to the coincidences among the signals which introduce cross-correlations and tune locally the resulting process in trains of pseudo-periodic pulses. Computer simulations demonstrate the reliability of this model, which permits to insert in an coherent framework other models solving problems still open.

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