TY - GEN
T1 - Digital noise generator based on Bernoulli chaotic map
AU - Martínez-González, Ricardo Francisco
AU - Díaz-Méndez, José Alejandro
AU - Rojas-López, César Enrique
AU - Vázquez-Medina, Rubén
PY - 2012
Y1 - 2012
N2 - This paper describes the noise emulation in materials through the digital implementation of a chaotic noise generator based on the Bernoulli map. The bifurcation diagram, Lyapunov exponent and the Ergodic Theorem were used in order to determine the operation conditions under which the Bernoulli map is able to generate noise with different statistical distributions. A 32-bits digital circuit was designed and implemented in a FPGA, and it can be used to emulate and analyze the noise in different materials. The obtained results are consistent with the generalized Bernoulli map behavior.
AB - This paper describes the noise emulation in materials through the digital implementation of a chaotic noise generator based on the Bernoulli map. The bifurcation diagram, Lyapunov exponent and the Ergodic Theorem were used in order to determine the operation conditions under which the Bernoulli map is able to generate noise with different statistical distributions. A 32-bits digital circuit was designed and implemented in a FPGA, and it can be used to emulate and analyze the noise in different materials. The obtained results are consistent with the generalized Bernoulli map behavior.
KW - Bernoulli map
KW - Chaotic noise
KW - Noise generators
KW - One dimensional maps
UR - http://www.scopus.com/inward/record.url?scp=84857162640&partnerID=8YFLogxK
U2 - 10.4028/www.scientific.net/AMM.152-154.1869
DO - 10.4028/www.scientific.net/AMM.152-154.1869
M3 - Contribución a la conferencia
SN - 9783037853528
T3 - Applied Mechanics and Materials
SP - 1869
EP - 1873
BT - Mechanical Engineering and Materials
T2 - 2012 International Conference on Mechanical Engineering and Materials, ICMEM 2012
Y2 - 15 January 2012 through 16 January 2012
ER -