A Chaotic Circuit for Producing Gaussian Random Numbers
J. C. Sprott
Department of Physics, University of Wisconsin–Madison,
Madison, Wisconsin 53706, USA
sprott@physics.wisc.edu
W. J. Thio
Department of Electrical Engineering and Computer Science,
University of Michigan, Ann Arbor, Michigan 48109, USA
thio@umich.edu
Received July 29, 2019; Revised October 14, 2019
One of the main applications for chaotic
circuits is the production of aperiodic signals with many of the
characteristics of noise for secure communications and similar
uses. However, the probability distribution function (pdf) of
such signals is usually far from Gaussian. This paper describes
a new chaotic circuit based on the recently proposed signum
thermostat that produces signals whose pdf is accurately
Gaussian. Data from the constructed circuit are analyzed and
shown to be in agreement with the theoretical prediction.