Fractional spectral moments for digital simulation of multivariate wind velocity fields

In this paper, a new method for the digital simulation of multivariate wind velocity fields by fractional spectral moments function is proposed. Firstly, a digital linear filter whose coefficients are fractional spectral moments of the system's transfer function is constructed. Then, it is shown that by applying some basic concepts of fractional calculus, the samples of the target process can be simulated as superposition of Riesz fractional derivatives of a Gaussian white noise processes.