Plain convolution encryption as an alternative to overcoming the limitations of synchronization-based methods

This paper revisits the send/retrieve message process using synchronization of the Lorenz system with a monochromatic message. We analyze how the fidelity of the retrieved signal depends on the message frequency and demonstrate message hacking through Fourier spectrum analysis. Various parameters affecting fidelity and noise in the hacked signal are also examined. Additionally, we transmit text messages recovered through synchronization and investigate their vulnerability to hacking. As a countermeasure, we propose a method to send both types of messages using the convolution as the encryption function to hide the message in the chaotic signal. This approach enhances retrieval fidelity and significantly increases resistance to hacking compared to synchronization-based methods.