Generalized analytical solutions for secure transmission of signals using a simple communication scheme with numerical and experimental confirmation

TL;DR

This paper presents a new explicit analytical solution for secure signal transmission using chaotic masking, validated through numerical simulations and electronic circuit experiments, enhancing understanding of synchronization and signal recovery.

Contribution

It introduces a novel analytical approach for secure communication with chaotic systems, supported by numerical and experimental validation.

Findings

Analytical solutions reveal synchronization behavior.

Enhanced amplitude of recovered signals observed.

Experimental results confirm analytical and numerical findings.

Abstract

A novel explicit analytical solution is reported for the transmission and recovery of information signals using a simple communication scheme. Analytical solutions are obtained for the normalized state equations of coupled second-order chaotic transmitter and receiver systems embedding the information signal. The analytical solution of the difference system obtained from the state equations of the transmitter and receiver systems has been identified as a measure of the recovered information signal which is transmitted securely by chaotic masking. The analytical solutions are used to reveal the nature of synchronization and the enhancement of the amplitude of recovered information signal. The difference signal of the coupled state variables indicating the recovered information signal obtained through numerical simulations is presented to validate the analytical results. The electronic circuit experimental results are presented to confirm the analytical and numerical results of the communication scheme discussed.