Digital Noise Generator Based on Bernoulli Chaotic Map

Abstract

This paper describes the noise emulation in materials through the digital implementation of a chaotic noise generator based on the Bernoulli map. The bifurcation diagram, Lyapunov exponent and the Ergodic Theorem were used in order to determine the operation conditions under which the Bernoulli map is able to generate noise with different statistical distributions. A 32-bits digital circuit was designed and implemented in a FPGA, and it can be used to emulate and analyze the noise in different materials. The obtained results are consistent with the generalized Bernoulli map behavior.