New version of PLNoise: a package for exact numerical simulation of power-law noises

Abstract

In a recent paper I have introduced a package for the exact simulation of power-law noises and other colored noises (E. Milotti, Comput. Phys. Commun. {\bf 175} (2006) 212): in particular the algorithm generates $1/f^α$ noises with $0 < α\leq 2$. Here I extend the algorithm to generate $1/f^α$ noises with $2 < α\leq 4$ (black noises). The method is exact in the sense that it produces a sampled process with a theoretically guaranteed range-limited power-law spectrum for any arbitrary sequence of sampling intervals, i.e., the sampling times may be unevenly spaced.