Method of random wave-vectors in the simulation of correlated random processes

We describe a novel method for simulation of correlated homogeneous random processes with given second-order statistics of a general kind. These proce sses are specified by their correlation and cross-correlation functions. Th e simulated processes are constructed as sums of plane waves with random wa ve-vectors. For non-periodical processes with wide spectra, such a method r equires much less memory, than the independent generation of the Fourier-co mponents.