DIGITAL SIGNAL TRANSMISSION WITH CHAOTIC ENCRYPTION: DESIGN AND EVALUATION ON FPGA

Title: DIGITAL SIGNAL TRANSMISSION WITH CHAOTIC ENCRYPTION: DESIGN AND EVALUATION ON FPGA

Research Question: Can a 3D discrete version of the Lorenz dynamical system be used to create a pseudo-chaotic encoder/decoder system for digital signal transmission, and if so, how effective is this system in terms of security and performance?

Methodology: The researchers designed and implemented a discrete-time discrete-value pseudo-chaotic encoder/decoder system using a 3D discrete version of the Lorenz dynamical system. They employed scaling and biasing transformations, as well as natural number arithmetics, to simplify realizations on a small size Field Programmable Gate Array (FPGA). The encryption ability was improved by using only the least significant byte of one of the pseudo-chaotic state variables as the key to encrypt the plain text. The key was periodically perturbed by another chaotic state variable to enhance the statistical properties.

Results: The statistical properties of the pseudo-chaotic cipher were compared with other pseudo-random generators available in the literature. The researchers found that their system performed well in terms of security and performance. As an example of applicability, they designed and constructed a full duplex communication system using FPGA as the technological framework.

Implications: The results of this study suggest that a 3D discrete version of the Lorenz dynamical system can be effectively used as a pseudo-chaotic encoder/decoder system for digital signal transmission. The system's performance in terms of security and performance is promising, and it can be implemented on a small size FPGA, making it an attractive option for various applications.

Link to Article: https://arxiv.org/abs/0402056v1 Authors: arXiv ID: 0402056v1