TY - GEN
T1 - Digital implementation of a pseudo-random noise generator using chaotic maps
AU - López-Hernández, Juan
AU - Vázquez-Medina, Rubén
AU - Ortiz-Moctezuma, Manuel B.
AU - Del-Rio-Correa, J. L.
N1 - Funding Information:
The authors are grateful to the financial support of the SIP-IPN 20120052 and ICYTDF 270/2010 projects.
PY - 2012
Y1 - 2012
N2 - Random Number Generators (RNG) are an important component in modern digital secure communication systems and other applications. Chaotic systems have proven to be a good source of random signals for specific values of its control parameter. Iterated one-dimensional maps are simple dynamical systems suitable for chaos generation. The random or pseudorandom iteration of four variants of the scaled and discretized Bernoulli map is used to design a pseudo-random number generator (PRNG), which can produce binary sequences with a known statistical distribution. The values of the control parameter for which the system of multiple maps produces digital noise are determined by mathematical tools such as bifurcation diagrams, entropy function and the Lyapunov exponents. The proposed chaotic system is implemented in a compact digital FPGA architecture suitable for digital applications where PRNG's were needed.
AB - Random Number Generators (RNG) are an important component in modern digital secure communication systems and other applications. Chaotic systems have proven to be a good source of random signals for specific values of its control parameter. Iterated one-dimensional maps are simple dynamical systems suitable for chaos generation. The random or pseudorandom iteration of four variants of the scaled and discretized Bernoulli map is used to design a pseudo-random number generator (PRNG), which can produce binary sequences with a known statistical distribution. The values of the control parameter for which the system of multiple maps produces digital noise are determined by mathematical tools such as bifurcation diagrams, entropy function and the Lyapunov exponents. The proposed chaotic system is implemented in a compact digital FPGA architecture suitable for digital applications where PRNG's were needed.
KW - Chaos Theory
KW - Chaotic Map
KW - Digital Circuits
KW - Pseudo Random Number Generators
UR - http://www.scopus.com/inward/record.url?scp=84880999946&partnerID=8YFLogxK
U2 - 10.3182/20120620-3-MX-3012.00020
DO - 10.3182/20120620-3-MX-3012.00020
M3 - Contribución a la conferencia
AN - SCOPUS:84880999946
SN - 9783902823021
T3 - IFAC Proceedings Volumes (IFAC-PapersOnline)
SP - 209
EP - 214
BT - 3rd IFAC Conference on Analysis and Control of Chaotic Systems, CHAOS 2012
PB - IFAC Secretariat
T2 - 3rd IFAC Conference on Analysis and Control of Chaotic Systems, CHAOS 2012
Y2 - 20 June 2012 through 22 June 2012
ER -