Generate spatial data

Generate 1/f noise spatial data.
Updated 31 Mar 2016

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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


Cite As

Jon Yearsley (2024). Generate spatial data (, MATLAB Central File Exchange. Retrieved .

MATLAB Release Compatibility
Created with R13
Compatible with any release
Platform Compatibility
Windows macOS Linux
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Version Published Release Notes

Update for BSD License
The original script defined beta to be a factor of two different from standard value. This has now been corrected.