A pseudo-random signal generator based on 2D memristor Logistic map

Rapid generation of pseudo-random signals that resemble noise is crucial for a signal generator. Unfortunately, many signal generators still utilize a DDS principle-based table lookup method for generating random signals, resulting in a high correlation between pseudo-random signals. This article presents a novel approach where a 2D memresistor Logistic Map is created by coupling a discrete memresistor (DM) model with the existing Logistic Map, and numerical experiments were conducted to study its complex dynamics, which are dependent on system parameters. The results of this study indicate that using the DM increases the complexity of chaos and generates hyper-chaotic behavior. A hardware experimental platform is developed using FPGA and DAC, and the similarity between the captured phase trajectory and numerical simulation results establishes the high accuracy and feasibility of implementing 2D-MLM using digital hardware circuits. Lastly, a speedier pseudo-random signal generator, running at 64 Mbps and based on 2D-MLM, is designed. The proposed method outperforms existing approaches in terms of generating faster pseudo-random numbers.