CMOS Design of Chaotic Systems Using Biquadratic OTA-C Filters

Abstract

This manuscript shows the CMOS design of Lorenz systems using operational transconductance amplifiers (OTAs). Two Lorenz systems are then synchronized in a master–slave topology and used to implement a CMOS secure communication system. The contribution is devoted to the correct design of first- and second-order OTA-C filters, using 180 nm CMOS technology, to guarantee chaotic behavior. First, Simulink is used to simulate a secure communication system using two Lorenz systems connected in a master–slave topology, which is tested using sinusoidal signals that are masked by chaotic signals. Second, the Lorenz systems are scaled to have amplitudes of the state variables below 1 Volt, to allow for CMOS design using OTA-C filters. The transconductances of the OTAs are tuned to accomplish a Laplace transfer function. In this manner, this work highlights the design of a second-order CMOS OTA-C filter, whose damping factor is tuned to generate appropriate chaotic behavior. Finally, chaotic masking is performed by designing a whole CMOS secure communication system by using OTA-C based Lorenz systems, and its SPICE simulation results show its appropriateness for hardware security applications.

Keywords

• chaos
• Lorenz system
• secure communication system
• OTA-C filter
• biquadratic filter
• damping factor