TY - GEN
T1 - Digital chaotic noise using tent map without scaling and discretization process
AU - Vazquez-Medina, Ruben
AU - Del-Río-Correa, José Luis
AU - Rojas-López, César Enrique
AU - Díaz-Méndez, José Alejandro
PY - 2012
Y1 - 2012
N2 - This work shows how to improve the statistical distribution of signals produced by noise generators designed with one-dimensional chaotic maps. It also shows that in a electronic design the piecewise linear chaotic maps should be considered because they do not have stability islands in its chaotic behavior region, as it occurs with the logistic map commonly used to build noise generators. The design and implementation problems of the noise generators are analyzed and a solution is proposed. This solution relates the tent map output, defined in the real numbers' domain, with a codebook of S elements. The proposed scheme produces digital noise signals using tent map without scaling and discretization process. Finally, this work shows that it is possible to have control over the statistical distribution of the noise signal by selecting the control parameter of the tent map and using, as a design criterion, the bifurcation diagram.
AB - This work shows how to improve the statistical distribution of signals produced by noise generators designed with one-dimensional chaotic maps. It also shows that in a electronic design the piecewise linear chaotic maps should be considered because they do not have stability islands in its chaotic behavior region, as it occurs with the logistic map commonly used to build noise generators. The design and implementation problems of the noise generators are analyzed and a solution is proposed. This solution relates the tent map output, defined in the real numbers' domain, with a codebook of S elements. The proposed scheme produces digital noise signals using tent map without scaling and discretization process. Finally, this work shows that it is possible to have control over the statistical distribution of the noise signal by selecting the control parameter of the tent map and using, as a design criterion, the bifurcation diagram.
KW - Chaotic maps
KW - Noise digital generators
KW - PWLCM
UR - http://www.scopus.com/inward/record.url?scp=84858848371&partnerID=8YFLogxK
U2 - 10.1007/978-3-642-28931-6_11
DO - 10.1007/978-3-642-28931-6_11
M3 - Contribución a la conferencia
SN - 9783642289309
T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
SP - 105
EP - 115
BT - Hybrid Artificial Intelligent Systems - 7th International Conference, HAIS 2012, Proceedings
T2 - 7th International Conference on Hybrid Artificial Intelligent Systems, HAIS 2012
Y2 - 28 March 2012 through 30 March 2012
ER -