Data encryption using chaotic mechanical system vibration response signals

• Main Author: Sim, Ivan Wan Leong
• Other Authors: Lin Rongming
• Format: Final Year Project
• Language: English
• Published: Nanyang Technological University 2020
• Subjects: Engineering::Mathematics and analysis::Simulations
• Online Access: https://hdl.handle.net/10356/139984
• Institution: Nanyang Technological University

This project aims to create a chaotic mechanical system by using a mass-spring-damper system with an added cubic spring stiffness term and a fractional derivative term. The system will be iterated for the vibration response when an external sinusoidal force is applied to the system. Approximation to the fractional derivative will be carried out to reduce computational time and optimize the encryption process. Follow by the analysis of the vibration response for chaotic behavior using Poincare maps and frequency spectrums plot from Fast Fourier Transform. The chaotic response will be used to encrypt an image of an apple. Various methods of encryption and decryption will be explored such as XOR operation, bits inverting and swapping in order to scramble the image. Lastly, the encryption effectiveness will be assessed by visually comparison and using the statistical correlation value and the project concluded with the image encrypted successfully.