TY - JOUR
T1 - Digital noise produced by a non discretized tent chaotic map
AU - Palacios-Luengas, L.
AU - Delgado-Gutiérrez, G.
AU - Cruz-Irisson, M.
AU - Del-Rio-Correa, J. L.
AU - Vázquez-Medina, R.
N1 - Funding Information:
The authors thank the financial support of the SIP IPN 20130461 and ICYTDF 270/2010 projects. L. Palacios-Luengas (CVU-373990) and G. Delgado-Gutiérrez (CVU-372164) thank for the scholarship provided by CONACYT.
PY - 2013
Y1 - 2013
N2 - This paper shows a digital electronic system that produces uniformly distributed binary sequences using the inverted tent chaotic map (ITCM) without the scaling and discretization processes. The proposed system has been developed considering a numerical representation of floating point with a 64-bit precision format according to the standard IEEE-754. The proposed system has four important advantages: (i) the produced binary sequences are uniformly distributed and they satisfy 10 randomness tests defined in the NIST 800-22SP guide, (ii) the statistical behavior of the ITCM is not affected by the scaling and discretization processes; therefore, the chaotic map used is not modified, (iii) the statistical behavior of the ITCM does not have stability islands inside the chaotic region, although its control parameter is changed, as it occurs with the logistic chaotic map and (iv) the statistical behavior of the binary sequences is conducted by the control parameter and the skeleton of the bifurcation diagram of the ITCM, which can be considered as the security keys of the system.
AB - This paper shows a digital electronic system that produces uniformly distributed binary sequences using the inverted tent chaotic map (ITCM) without the scaling and discretization processes. The proposed system has been developed considering a numerical representation of floating point with a 64-bit precision format according to the standard IEEE-754. The proposed system has four important advantages: (i) the produced binary sequences are uniformly distributed and they satisfy 10 randomness tests defined in the NIST 800-22SP guide, (ii) the statistical behavior of the ITCM is not affected by the scaling and discretization processes; therefore, the chaotic map used is not modified, (iii) the statistical behavior of the ITCM does not have stability islands inside the chaotic region, although its control parameter is changed, as it occurs with the logistic chaotic map and (iv) the statistical behavior of the binary sequences is conducted by the control parameter and the skeleton of the bifurcation diagram of the ITCM, which can be considered as the security keys of the system.
KW - Binary sequences uniformly distributed
KW - Chaotic noise generator
KW - Inverted tent chaotic map
KW - Pseudorandom noise generator
UR - http://www.scopus.com/inward/record.url?scp=84884700170&partnerID=8YFLogxK
U2 - 10.1016/j.mee.2013.03.127
DO - 10.1016/j.mee.2013.03.127
M3 - Artículo
SN - 0167-9317
VL - 112
SP - 264
EP - 268
JO - Microelectronic Engineering
JF - Microelectronic Engineering
ER -