A Behavioural Model for Accurate Investigation of Noisy Lorenz Chaotic Synchronization Systems

Abstract

This paper presents a behavioral model for noisy Lorenz chaotic synchronization systems. This simple simulation-based model can be used for accurate noise voltage derivation of the chaotic oscillators and the investigation of chaotic synchronization systems. Moreover, the effects of circuitry noise on synchronization of Lorenz systems were analysed by using the proposed model. The performance of the synchronization system was numerically evaluated using ADS and MATLAB-SIMULINK environments. The measurement of Mean Squared Error (MSE) and Error to Noise Ratio (ENR) demonstrates that circuitry noise has a remarkable effect on the performance of chaotic Lorenz synchronization systems. For instance, the results showed that for low Signal to Noise Ratios (SNRs), i.e., −40 𝑑𝐵 ≤ 𝑆𝑁𝑅 ≤ 0𝑑𝐵, the circuitry noise changed the ENR performance up to 1dB.