Sierpinski signal generates 1/f alpha spectra.
We investigate the row sum of the binary pattern generated by the Sierpinski automaton: Interpreted as a time series we calculate the power spectrum of this Sierpinski signal analytically and obtain a unique rugged fine structure with underlying power law decay with an exponent of approximately 1.15. Despite the simplicity of the model, it can serve as a model for 1/f(alpha) spectra in a certain class of experimental and natural systems such as catalytic reactions and mollusc patterns.
Claussen
Jens Christian
JC
Institut für Theoretische Physik und Astrophysik, Universität Kiel, Leibnizstrasse 15, D-24098 Kiel, Germany.
Nagler
Jan
J
Schuster
Heinz Georg
HG