A random telegraph signal of Mittag-Leffler type

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Bibliographic Details
Title: A random telegraph signal of Mittag-Leffler type
Authors: Ferraro, Simone1, Manzini, Michele2, Masoero, Aldo2, Scalas, Enrico2 enrico.scalas@mfn.unipmn.it
Source: Physica A. Oct2009, Vol. 388 Issue 19, p3991-3999. 9p.
Subjects: Stochastic processes, Electronic noise, Algebraic functions, Analysis of covariance, Poisson processes, Renewal theory, Monte Carlo method, Simulation methods & models, Spectral theory
Abstract: Abstract: A general method is presented to explicitly compute autocovariance functions for non-Poisson dichotomous noise based on renewal theory. The method is specialized to a random telegraph signal of Mittag-Leffler type. Analytical predictions are compared to Monte Carlo simulations. Non-Poisson dichotomous noise is non-stationary and standard spectral methods fail to describe it properly as they assume stationarity. [Copyright &y& Elsevier]
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Database: Engineering Source
Description
Abstract:Abstract: A general method is presented to explicitly compute autocovariance functions for non-Poisson dichotomous noise based on renewal theory. The method is specialized to a random telegraph signal of Mittag-Leffler type. Analytical predictions are compared to Monte Carlo simulations. Non-Poisson dichotomous noise is non-stationary and standard spectral methods fail to describe it properly as they assume stationarity. [Copyright &y& Elsevier]
ISSN:03784371
DOI:10.1016/j.physa.2009.06.036