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VLSI Design
Volume 2012 (2012), Article ID 849120, 10 pages
http://dx.doi.org/10.1155/2012/849120
Research Article

Digital Noise Generator Design Using Inverted 1D Tent Chaotic Map

1Instituto Politécnico Nacional, ESIME-Culhuacan, Santa Ana 1000, 04430 Mexico, DF, Mexico
2Centro de Física Aplicada y Tecnología Avanzada, UNAM, Boulevard Juriquilla 3001, Juriquilla 76230, Querétaro, Mexico

Received 19 November 2011; Accepted 30 August 2012

Academic Editor: Wieslaw Kuzmicz

Copyright © 2012 Leonardo Palacios-Luengas et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

This paper shows a digital noise generator designed in FPGA, based on a variant of the one-dimensional (1D) chaotic tent map (T-1D). The T-1D map is a piecewise linear 1D chaotic map that defines the statistical behavior of the generated sequences using its control parameter. In this way, the proposed noise generator is a highly competitive alternative in cryptographic systems when the statistical behavior of the sequences is closer to the uniform statistical distribution. The proposed system uses the inverted tent chaotic map (IT-1D), which has the same statistical behavior as the T-1D map. The fundamental algorithm used in this system was developed based on a 64-bit double precision format according to the numerical representation of floating point numbers defined in the IEEE-754 standard. The proposed system is analized using mechanical statistic tools and some statistical tests defined in the NIST 800-22SP (USA) standard. The main contribution of this work is the possibility of generating binary sequence of pseudorandom appearance by a procedure implemented in an FPGA device that translates real numbers to natural numbers preserving the statistical properties of sequences of real numbers that can be generated with the tent chaotic map in its original definition domain.