The script generates spatial data with a scale-invariant power spectrum (1/f noise) and a normal error distribution.
The spectral density of the data is proportional to f^BETA, where f is the frequency and BETA is the spectral exponent (BETA=0 is white noise, BETA=-2 is Brown noise).
To generate Brown noise on a 10x10 grid you type
which gives a 10x10 matrix containihng the data.
1/f noise is not stationary, and so doesn't have a well defined variance. A variogram of the data show variance linearly increasing with increasing lag.
Time series data can also be generated. For example, a pink noise time series of lenth 1000 is produced by
Jon Yearsley (2022). Generate spatial data (https://www.mathworks.com/matlabcentral/fileexchange/5091-generate-spatial-data), MATLAB Central File Exchange. Retrieved .
MATLAB Release Compatibility
Platform CompatibilityWindows macOS Linux
Inspired: Fractional Octave Band and A, B, C Weighting Filters DF2T SOS IIR Matlab and limited Labview, filt2 2D geospatial data filter, randnd, Noise-Power Spectrum, Nth_Oct_Hand_Arm_&_AC_Filter_Tool_Box
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