A novel exact representation of stationary colored Gaussian processes (fractional differential approach)

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33 Citazioni (Scopus)

Abstract

A novel representation of functions, called generalized Taylor form, is applied to the filtering of white noise processes. It is shown that every Gaussian colored noise can be expressed as the output of a set of linear fractional stochastic differential equations whose solution is a weighted sum of fractional Brownian motions. The exact form of the weighting coefficients is given and it is shown that it is related to the fractional moments of the target spectral density of the colored noise.
Lingua originaleEnglish
Numero di pagine16
RivistaJOURNAL OF PHYSICS. A, MATHEMATICAL AND THEORETICAL
Volume43
Stato di pubblicazionePublished - 2010

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Modelling and Simulation
  • Mathematical Physics
  • Physics and Astronomy(all)

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