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arxiv: 0812.4674 · v1 · submitted 2008-12-26 · ⚛️ physics.data-an · cond-mat.stat-mech· nlin.AO

Modelling of 1/f noise by sequences of stochastic pulses of different duration

classification ⚛️ physics.data-an cond-mat.stat-mechnlin.AO
keywords pulsesnoisedurationmodelrandomsequenceswideanalytically
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We present and analyze the simple analytically solvable model of 1/f noise, which can be relevant for the understanding of the origin, main properties and parameter dependencies of the flicker noise. In the model, the currents or signals represented as sequences of the random pulses, which recurrence time intervals between transit times of pulses are uncorrelated with the shape of the pulse, are analyzed. It is shown that for the pulses of fixed area with random duration, distributed uniformly in a wide interval, 1/f behavior of the power spectrum of the signal or current in wide range of frequency may be obtained.

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