TY - GEN
T1 - Fully digital 1-D, 2-D and 3-D multiscroll chaos as hardware pseudo random number generators
AU - Mansingka, Abhinav S.
AU - Radwan, Ahmed Gomaa
AU - Salama, Khaled N.
N1 - KAUST Repository Item: Exported on 2020-10-01
PY - 2012/9/10
Y1 - 2012/9/10
N2 - This paper introduces the first fully digital implementation of 1-D, 2-D and 3-D multiscroll chaos using the sawtooth nonlinearity in a 3rd order ODE with the Euler approximation. Systems indicate chaotic behaviour through phase space boundedness and positive Lyapunov exponent. Low-significance bits form a PRNG and pass all tests in the NIST SP. 800-22 suite without post-processing. Real-time control of the number of scrolls allows distinct output streams with 2-D and 3-D multiscroll chaos enabling greater controllability. The proposed PRNGs are experimentally verified on a Xilinx Virtex 4 FPGA with logic utilization less than 1.25%, throughput up to 5.25 Gbits/s and up to 512 distinct output streams with low cross-correlation.
AB - This paper introduces the first fully digital implementation of 1-D, 2-D and 3-D multiscroll chaos using the sawtooth nonlinearity in a 3rd order ODE with the Euler approximation. Systems indicate chaotic behaviour through phase space boundedness and positive Lyapunov exponent. Low-significance bits form a PRNG and pass all tests in the NIST SP. 800-22 suite without post-processing. Real-time control of the number of scrolls allows distinct output streams with 2-D and 3-D multiscroll chaos enabling greater controllability. The proposed PRNGs are experimentally verified on a Xilinx Virtex 4 FPGA with logic utilization less than 1.25%, throughput up to 5.25 Gbits/s and up to 512 distinct output streams with low cross-correlation.
UR - http://hdl.handle.net/10754/247371
UR - http://ieeexplore.ieee.org/lpdocs/epic03/wrapper.htm?arnumber=6292236
UR - http://www.scopus.com/inward/record.url?scp=84867287197&partnerID=8YFLogxK
U2 - 10.1109/MWSCAS.2012.6292236
DO - 10.1109/MWSCAS.2012.6292236
M3 - Conference contribution
SN - 9781467325271
SP - 1180
EP - 1183
BT - 2012 IEEE 55th International Midwest Symposium on Circuits and Systems (MWSCAS)
PB - Institute of Electrical and Electronics Engineers (IEEE)
ER -