Fully digital 1-D, 2-D and 3-D multiscroll chaos as hardware pseudo random number generators
KAUST DepartmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
Electrical Engineering Program
Online Publication Date2012-09-10
Print Publication Date2012-08
Permanent link to this recordhttp://hdl.handle.net/10754/247371
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AbstractThis 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.
CitationMansingka AS, Radwan AG, Salama KN (2012) Fully digital 1-D, 2-D and 3-D multiscroll chaos as hardware pseudo random number generators. 2012 IEEE 55th International Midwest Symposium on Circuits and Systems (MWSCAS). doi:10.1109/MWSCAS.2012.6292236.
Conference/Event name2012 IEEE 55th International Midwest Symposium on Circuits and Systems, MWSCAS 2012