Digital noise generators using onedimensional chaotic maps
Abstract
This work shows how to improve the statistical distribution of signals produced by digital noise generators designed with onedimensional (1D) 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.
 Publication:

7th International Conference on Low Dimensional Structures and Devices: (LDSD 2011)
 Pub Date:
 May 2014
 DOI:
 10.1063/1.4878310
 Bibcode:
 2014AIPC.1598..210M