Medical Data Encryption based on a Modified Sinusoidal 1D Chaotic Map and Its Microcontroller Implementation

Abstract

This work considers a modification of the map proposed in Wang et al. (2020), by replacing its fixed term by a squared hyperbolic tangent term. The modified map is studied and is shown to have a plethora of chaos related phenomena, like period doubling route to chaos, crisis, antimonotonicity, and an infinite number of equilibrium points inside a bounded domain. Then, a pseudo-random bit generator is designed from the given map and it is applied to the encryption of medical data. Specifically, an electrophysiological signal is considered. The resulting design is finally implemented on a 32 bit microcontroller.