Multiplexing of discrete chaotic signals in presence of noise

TL;DR

This paper introduces two novel methods for multiplexing multiple discrete chaotic signals that are robust to noise and parameter mismatches, overcoming limitations of existing synchronization-based approaches.

Contribution

The paper presents new multiplexing techniques based on symbolic sequence invariance and finite precision initial condition estimation, enabling multiplexing of more than two signals under noisy conditions.

Findings

Methods successfully multiplex multiple signals in noisy environments

Techniques outperform existing synchronization-based methods

Robustness to noise and parameter mismatch demonstrated

Abstract

In this paper, multiplexing of discrete chaotic signals in the presence of noise is investigated. Existing methods are based on chaotic synchronization which is susceptible to noise and parameter mismatch. Furthermore, these methods fail for multiplexing more than two discrete chaotic signals. We propose two novel methods to multiplex multiple discrete chaotic signals based on the principle of symbolic sequence invariance in the presence of noise and finite precision implementation of finding the initial condition of an arbitrarily long symbolic sequence of a chaotic map.