Generating long streams of $1/f^alpha$ noise

We review existing methods for generating long streams of 1/fα noise (0 2. The corresponding software is available from .

[1]  William H. Press,et al.  Numerical recipes in C , 2002 .

[2]  Robert Mingesz,et al.  Digital signal processor (DSP)-based 1/fα noise generator , 2004, SPIE International Symposium on Fluctuations and Noise.

[3]  M. Lachièze‐Rey,et al.  Statistics of the galaxy distribution , 1989 .

[4]  Brian D. Ripley,et al.  Stochastic Simulation , 2005 .

[5]  Donald S. Fussell,et al.  Computer rendering of stochastic models , 1998 .

[6]  R. Vajtai,et al.  l fk noise generated by scaled Brownian motion , 1989 .

[7]  1/f NOISE GENERATOR , 1986 .

[8]  A. van der Ziel,et al.  On the noise spectra of semi-conductor noise and of flicker effect , 1950 .

[9]  N. Kasdin Discrete simulation of colored noise and stochastic processes and 1/fα power law noise generation , 1995, Proc. IEEE.

[10]  S. Liberty,et al.  Linear Systems , 2010, Scientific Parallel Computing.

[11]  D. W. Allan,et al.  A statistical model of flicker noise , 1966 .

[12]  Martin Reinecke,et al.  A simulation pipeline for the Planck mission , 2006 .

[13]  Paul Manneville,et al.  Intermittency, self-similarity and 1/f spectrum in dissipative dynamical systems , 1980 .

[14]  Veljko Radeka,et al.  1/|f| Noise in Physical Measurements , 1969 .

[15]  Hartmut Jürgens,et al.  Chaos and Fractals: New Frontiers of Science , 1992 .

[16]  J Bernamont,et al.  Fluctuations in the resistance of thin films , 1937 .

[17]  Rosenberg,et al.  Real and apparent divergencies in low-frequency spectra of nonlinear dynamical systems. , 1985, Physical review. A, General physics.

[18]  N. Jeremy Usdin,et al.  Discrete Simulation of Colored Noise and Stochastic Processes and llf" Power Law Noise Generation , 1995 .

[19]  G. A. Campbell,et al.  Fourier integrals for practical applications , 1931 .

[20]  G. Wornell Wavelet-based representations for the 1/f family of fractal processes , 1993, Proc. IEEE.

[21]  R. Saletti,et al.  A comparison between two methods to generate 1/fγnoise , 1986, Proc. IEEE.

[22]  I. S. Gradshteyn,et al.  Table of Integrals, Series, and Products , 1976 .

[23]  M. S. Keshner 1/f noise , 1982, Proceedings of the IEEE.

[24]  Alan V. Oppenheim,et al.  Digital Signal Processing , 1978, IEEE Transactions on Systems, Man, and Cybernetics.