Engineering Commons^™

Cascading Cmos-Based Chaotic Maps For Improved Performance And Its Application In Efficient Rng Design, Partha Sarathi Paul, Maisha Sadia, Md Razuan Hossain, Barry Muldrey, Md Sakib Hasan

Faculty and Student Publications

We present a general framework for improving the chaotic properties of CMOS-based chaotic maps by cascading multiple maps in series. Along with two novel chaotic map topologies, we present the 45 $nm$ designs for four CMOS-based discrete-time chaotic map topologies. With the help of the bifurcation plot and three established entropy measures, namely, Lyapunov exponent, Kolmogorov entropy, and correlation coefficient, we present an extensive chaotic performance analysis on eight unique map circuits (two under each topology) to show that under certain constraints, the cascading scheme can significantly elevate the chaotic performance. The improved chaotic entropy benefits many security applications and …