Chaotic generation of pseudo-random numbers

Due to the character of the original source materials and the nature of batch digitization, quality control issues may be present in this document. Please report any quality issues you encounter to digital@library.tamu.edu, referencing the URI of the item.Includes bibliographical references (leaves 159-160).Issued also on microfiche from Lange Micrographics.Generation of repeatable pseudo-random sequences with chaotic analog electronics is not feasible using standard circuit topologies. Component variation caused by imperfect fabrication causes the same divergence of output sequences as does varying initial conditions. By quantizing the output of a simple chaotic difference equation and using delayed feedback, we are able to construct a circuit which has properties both of randomness and repeatability. Simulation results show sequence lengths in excess 10,000 bits with cross correlations less than 0.02 for our architecture. The system has been implemented on an IC using AMI 1.2[]m CMOS technology, and digitally using AMD MACH complex programmable logic devices (CPLDS). Circuit measurements are agreement with our theoretical findings