Linear filtering with fractional Brownian motion in the signal and observation processes

Linear filtering with fractional Brownian motion in the signal and observation processes

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Article ID: iaor20001894
Country: United States
Volume: 12
Issue: 1
Start Page Number: 85
End Page Number: 90
Publication Date: Jan 1999
Journal: Journal of Applied Mathematics and Stochastic Analysis
Authors: , ,
Keywords: Linear filtering
Abstract:

Integral equations for the mean-square estimate are obtained for the linear filtering problem, in which the noise generating the signal is a fractional Brownian motion with Hurst index h ∈ (3/4, 1) and the noise in the observation process includes a fractional Brownian motion as well as a Wiener process.

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