TY - GEN
T1 - Digital noise generators using one-dimensional chaotic maps
AU - Martínez-Ñonthe, J. A.
AU - Palacios-Luengas, L.
AU - Cruz-Irisson, M.
AU - Díaz Méndez, J. A.
AU - Vazquez Medina, R.
PY - 2014
Y1 - 2014
N2 - This work shows how to improve the statistical distribution of signals produced by digital noise generators designed with one-dimensional (1-D) chaotic maps. It also shows that in a digital electronic design the piecewise linear chaotic maps (PWLCM) should be considered because they do not have stability islands in its chaotic behavior region, as it occurs in the case of the logistic map, which is commonly used to build noise generators. The design and implementation problems of the digital noise generators are analyzed and a solution is proposed. This solution relates the output of PWLCM, usually defined in the real numbers' domain, with a codebook of S elements, previously defined. The proposed solution scheme produces digital noise signals with a statistical distribution close to a uniform distribution. 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 PWLCM and using, as a design criterion, the bifurcation diagram.
AB - This work shows how to improve the statistical distribution of signals produced by digital noise generators designed with one-dimensional (1-D) chaotic maps. It also shows that in a digital electronic design the piecewise linear chaotic maps (PWLCM) should be considered because they do not have stability islands in its chaotic behavior region, as it occurs in the case of the logistic map, which is commonly used to build noise generators. The design and implementation problems of the digital noise generators are analyzed and a solution is proposed. This solution relates the output of PWLCM, usually defined in the real numbers' domain, with a codebook of S elements, previously defined. The proposed solution scheme produces digital noise signals with a statistical distribution close to a uniform distribution. 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 PWLCM 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=84903700623&partnerID=8YFLogxK
U2 - 10.1063/1.4878310
DO - 10.1063/1.4878310
M3 - Contribución a la conferencia
AN - SCOPUS:84903700623
SN - 9780735412323
T3 - AIP Conference Proceedings
SP - 210
EP - 213
BT - 7th International Conference on Low Dimensional Structures and Devices, LDSD 2011
PB - American Institute of Physics Inc.
T2 - 7th International Conference on Low Dimensional Structures and Devices, LDSD 2011
Y2 - 22 May 2011 through 27 May 2011
ER -