Digital noise generators using one-dimensional chaotic maps

Abstract

Articles you may be interested inDesign of one-dimensional photonic crystals using combination of band diagram and photonic gap map approaches J. Appl. Phys.Abstract. 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.

Digital Noise Generator Design Using Inverted 1D Tent Chaotic Map

“…Considering the analysis realized by Martínez-Nonthe et al [10], a discretized and scaled chaotic map is an approximation of the original chaotic map; thus, a new domain interval at the integer numbers appears. In other words, f μ (x n ) defined at [0, 1] ∈ , is transformed in a new function σ μ (x n ), where n is the iteration number of the chaotic map is transformed in a new function σ μ (x n ) defined at [0, 2 i ] ∈ N, where σ μ (x n ) depends on the precision of the used binary word considering i bits.…”