Comparison between KarhunenLoeve and wavelet expansions for simulation of Gaussian processes

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Numerical methods for the discretization of random fields by means of the Karhunen–Loève expansion (2014, methodology): “It is applied in [7, 8, 9] for the discretization of the IEVP on one-dimensional domains.”
Simulation of strongly non-Gaussian processes using Karhunen–Loeve expansion (2005, methodology): “If one attempts to uncorrelate or orthogonalize xi(q) by the usual eigen or Cholesky procedure [13], the numerical values of the realizations computed from Eq.”