Ultra-high-frequency piecewise-linear chaos using delayed feedback loops

TL;DR

This paper presents an ultra-high-frequency chaotic system using simple electronic components with dual analog and digital chaos, enabling potential applications in secure communications and radar.

Contribution

The authors design and demonstrate a GHz-range piecewise-linear chaos system with dual feedback loops, combining analog and digital chaos for the first time at this frequency.

Findings

Achieved chaos generation above 1 GHz using low-cost components

Demonstrated simultaneous analog and digital chaos

Potential for noise-resilient communication applications

Abstract

We report on an ultra-high-frequency (> 1 GHz), piecewise-linear chaotic system designed from low-cost, commercially available electronic components. The system is composed of two electronic time-delayed feedback loops: A primary analog loop with a variable gain that produces multi-mode oscillations centered around 2 GHz and a secondary loop that switches the variable gain between two different values by means of a digital-like signal. We demonstrate experimentally and numerically that such an approach allows for the simultaneous generation of analog and digital chaos, where the digital chaos can be used to partition the system's attractor, forming the foundation for a symbolic dynamics with potential applications in noise-resilient communications and radar.