Estimating Optimal Synchronization Parameters for Coherent Chaotic Communication Systems in Noisy Conditions

Abstract

It is known, that coherent chaotic communication systems are more vulnerable to noise in the transmission channel than conventional communications. Among the methods of noise impact reduction, such as extended symbol length and various digital filtering algorithms, the optimization of the synchronization coefficient may appear as a very efficient and simple straightforward approach. However, finding the optimal coefficient for the synchronization of two chaotic oscillators is a challenging task due to the high sensitivity of chaos to any disturbances. In this paper, we propose an algorithm for finding the optimal synchronization parameter K_opt for a coherent chaos-based communication system affected by various noises with different signal-to-noise ratios (SNR). It is shown, that under certain conditions, optimal $K$ provides the lowest possible bit error rate (BER) during the transmission. In addition, we show that various metrics applied to the message demodulation task propose different noise immunity to the overall system. For the experimental part of the study, we simulated and physically prototyped two chaotic communication systems based on well-known Rossler and Lorenz chaotic oscillators. The microcontroller-based prototype of a chaotic communication system was developed to investigate the influence of noise in the real transmission channel. The experimental results obtained using the designed hardware testbench are in good correspondence with the theoretical propositions of the study and simulation results. The suggested evaluation metrics and optimization algorithms can be used in the design of advanced chaos-based communication systems with increased performance.

Coherent Chaotic Communication Using Generalized Runge–Kutta Method

“…The recovery of the message M * (t) is done by using the root mean square (RMS). In our previous work [49], we found that using RMS leads to the lowest BER values. A block diagram of the variable center point signal modulation communication system is shown in Figure 9.…”

“…Using the approach reported in [47,49], we have determined that variable Y is the most optimal for synchronization and has a nearly optimal synchronization coefficient of k = 4.…”

CMOS Design of Chaotic Systems Using Biquadratic OTA-C Filters

“…It can be seen that during the transient behavior, one can see a pretty small difference between V(V I N) and V(OUT), but after about 0.6 µs, the error is almost zero, indicating that the recovered signal is the same as the transmitted one, while the encrypted one is masked in the chaotic time series. Further research can be performed considering the secrecy analysis of the proposed communication system, as done in the recent works [37][38][39], showing resistance to various attacks.…”

Experimental Study on Colpitts Chaotic Oscillator-Based Communication System Application for the Internet of Things

“…Such systems provide secure communication channels for transmitting images across IoT sensing systems to domains like smart healthcare [31,32], where security and privacy are crucial. Ongoing efforts involve developing and studying communication systems based on analog chaos oscillators [33][34][35].…”