TY - GEN
T1 - Design, implementation and analysis of fully digital 1-D controllable multiscroll chaos
AU - Mansingka, Abhinav S.
AU - Radwan, Ahmed G.
AU - Salama, Khaled N.
N1 - KAUST Repository Item: Exported on 2020-10-01
PY - 2011/12
Y1 - 2011/12
N2 - This paper introduces the fully digital implementation of a 1-D multiscroll chaos generator based on a staircase nonlinearity in the 3rd-order jerk system using the Euler approximation. For the first time, digital design is exploited to provide real-time controllability of (i) number of scrolls, (ii) position in 1-D space, (iii) Euler step size and (iv) system parameter. The effect of variations in these fields on the maximum Lyapunov exponent (MLE) is analyzed. The system is implemented using Verilog HDL and synthesized on an Xilinx Virtex 4 FPGA, exhibiting area utilization less than 3.5% and high performance with experimentally verified throughput up to 3.33 Gbits/s. This fully digital system enables applications in modulation schemes and chaos-based cryptosystems without analog to digital conversion. © 2011 IEEE.
AB - This paper introduces the fully digital implementation of a 1-D multiscroll chaos generator based on a staircase nonlinearity in the 3rd-order jerk system using the Euler approximation. For the first time, digital design is exploited to provide real-time controllability of (i) number of scrolls, (ii) position in 1-D space, (iii) Euler step size and (iv) system parameter. The effect of variations in these fields on the maximum Lyapunov exponent (MLE) is analyzed. The system is implemented using Verilog HDL and synthesized on an Xilinx Virtex 4 FPGA, exhibiting area utilization less than 3.5% and high performance with experimentally verified throughput up to 3.33 Gbits/s. This fully digital system enables applications in modulation schemes and chaos-based cryptosystems without analog to digital conversion. © 2011 IEEE.
UR - http://hdl.handle.net/10754/564471
UR - http://ieeexplore.ieee.org/document/6177371/
UR - http://www.scopus.com/inward/record.url?scp=84860663739&partnerID=8YFLogxK
U2 - 10.1109/ICM.2011.6177371
DO - 10.1109/ICM.2011.6177371
M3 - Conference contribution
SN - 9781457722073
BT - ICM 2011 Proceeding
PB - Institute of Electrical and Electronics Engineers (IEEE)
ER -