PINK_NOISE
Samples of a Pink Noise Signal
PINK_NOISE,
a MATLAB library which
can generate random values taken from an approximate pink noise signal
obeying a 1/f power law.
Licensing:
The computer code and data files described and made available on this web page
are distributed under
the GNU LGPL license.
Languages:
PINK_NOISE is available in
a C version and
a C++ version and
a FORTRAN90 version and
a MATLAB version and
a Python version.
Related Data and Programs:
BROWNIAN_MOTION_SIMULATION,
a MATLAB program which
simulates Brownian motion in an Mdimensional region.
CNOISE,
a MATLAB library which
generates samples of noise obeying a 1/f^alpha power law,
by Miroslav Stoyanov.
COLORED_NOISE,
a MATLAB library which
generates samples of noise obeying a 1/f^alpha power law.
CORRELATION,
a MATLAB library which
contains examples of statistical correlation functions.
NORMAL,
a MATLAB library which
computes elements of a sequence of pseudorandom normally distributed values.
ORNSTEIN_UHLENBECK,
a MATLAB library which
approximates solutions of the OrnsteinUhlenbeck
stochastic differential equation (SDE) using the Euler method and
the EulerMaruyama method.
pink_noise_test
STOCHASTIC_RK,
a MATLAB library which
applies a RungeKutta scheme to a stochastic differential equation.
UNIFORM,
a MATLAB library which
computes elements of a uniform pseudorandom sequence.
Reference:

Martin Gardner,
White and brown music, fractal curves and oneoverf fluctuations,
Scientific American,
Volume 238, Number 4, April 1978, pages 1632.

Jeremy Kasdin,
Discrete Simulation of Colored Noise and Stochastic Processes
and 1/f^a Power Law Noise Generation,
Proceedings of the IEEE,
Volume 83, Number 5, 1995, pages 802827.

Edoardo Milotti,
1/f noise: a pedagogical review,
arXiv:physics/0204033.

Sophocles Orfanidis,
Introduction to Signal Processing,
PrenticeHall, 1995,
ISBN: 0132091720,
LC: TK5102.5.O246.

William Press,
Flicker Noises in Astronomy and Elsewhere,
Comments on Astrophysics,
Volume 7, Number 4, 1978, pages 103119.

Miroslav Stoyanov, Max Gunzburger, John Burkardt,
Pink Noise, 1/f^alpha Noise, and Their Effect on Solutions
of Differential Equations,
International Journal for Uncertainty Quantification,
Volume 1, Number 3, pages 257278, 2011.
Source Code:

cdelay2.m,
a circular buffer implementation of Mfold delay.

correlation.m,
computes the sample correlations of a signal sample.

cross_corr.m,
computes the sample cross correlation between two signal samples.

ran1f.m,
a 1/F random number generator.

ranh.m,
a hold random number generator of period D.

r8vec_print.m,
prints an R8VEC.

timestamp.m,
prints the current YMDHMS date as a time stamp.

wrap2.m,
a circular wrap of the pointer offset Q.
Last revised on 25 February 2019.