Chaotic noise MOS generator based on logistic map

• Published in: Microelectronics Vol. 40; no. 3; pp. 638 - 640
• Main Authors: Díaz-Méndez, A., Marquina-Pérez, J.V., Cruz-Irisson, M., Vázquez-Medina, R., Del-Río-Correa, J.L.
• Format: Journal Article
• Language: English
• Published: Elsevier Ltd 01.03.2009
• Subjects: Analog noise generator; Chaos; Logistic map; Chaos; 05.45.−a; Logistic map; 95.10.Fh; 05.45.Gg; Analog noise generator
• ISSN: 1879-2391; 1879-2391
• DOI: 10.1016/j.mejo.2008.06.042

The Birkhoff's ergodic theorem (BET), bifurcation diagram (BD) and Lyapunov's exponent (LE) are used in order to design a chaotic noise generator that is governed by the logistic map (LM). For this, a MOS analog circuit that operates in the current-mode, which is based on translinear principle (TLP), is used. To iterate the transference function of this circuit and also to maintain the parameter control of the LM, a current amplifier has been used. The specifications of the design are obtained from the analysis of the model. The results demonstrate the correct operation of the circuit, even when a mismatching of 2% is considered between the devices that control the operation region. The statistical distribution of the output signal on the circuit is similar to uniform distribution and it is related with the parameter value that rules the transfer function of the circuit.