6533b862fe1ef96bd12c6df6

RESEARCH PRODUCT

Representation of Stationary Multivariate Gaussian Processes Fractional Differential Approach

Giulio CottoneMario Di Paola

subject

symbols.namesakeMathematical analysissymbolsRepresentation (systemics)Applied mathematicsMultivariate normal distributionMultivariate Processes Fractional Calculus Fractional Spectral MomentsFractional differentialSettore ICAR/08 - Scienza Delle CostruzioniGaussian processMathematics

description

In this paper, the fractional spectral moments method (H-FSM) is used to generate stationary Gaussian multivariate processes with assigned power spectral density matrix. To this aim, firstly the N-variate process is expressed as sum of N fully coherent normal random vectors, and then, the representation in terms of HFSM is used.

https://doi.org/10.3850/978-981-08-7619-7_p021