Exact numerical simulation of power-law noises

Details Exact numerical simulation of power-law noises Exact numerical simulation of power-law noises

2005-09-28

arxiv.org/abs/physics/0509237v1

Phys. Rev. E 72, 056701 (2005)

Physics

Computational Physics

14 postscript figures, accepted for publication on Phys. Rev. E

Scientific paper

10.1103/PhysRevE.72.056701

Many simulations of stochastic processes require colored noises: I describe here an exact numerical method to simulate power-law noises: the method can be extended to more general colored noises, and is exact for all time steps, even when they are unevenly spaced (as may often happen for astronomical data, see e.g. N. R. Lomb, Astrophys. Space Sci. {\bf 39}, 447 (1976)). The algorithm has a well-behaved computational complexity, it produces a nearly perfect Gaussian noise, and its computational efficiency depends on the required degree of noise Gaussianity.

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