2D and 3D multiscroll chaos

Fully Digital 1-D, 2-D and 3-D Multiscroll Chaos as Hardware Pseudo Random Number Generators

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Abhinav Mansingka, et al., "Fully digital 1-D, 2-D and 3-D multiscroll chaos as hardware pseudo random number generators." In 2012 IEEE 55th International Midwest Symposium on Circuits and Systems (MWSCAS), 2012, 1180. 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

Secure Ds-CDMA spreading codes using fully digital multidimensional multiscroll chaos

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Abhinav S. Mansingka, et al., "Secure Ds-CDMA spreading codes using fully digital multidimensional multiscroll chaos." In 2013 IEEE 56th International Midwest Symposium on Circuits and Systems (MWSCAS), 2013, 1334. This paper introduces a generalized fully digital hardware implementation of 1-D, 2-D and 3-D multiscroll chaos through sawtooth nonlinearities in a 3rd order ODE with the Euler approximation, wherein low-significance bits pass all NIST SP. 800-22 tests. The low-significance bits show good performance as spreading code for multiple-access DS-CDMA in AWGN and multipath environments