TY - JOUR
T1 - Chaotic noise MOS generator based on logistic map
AU - Díaz-Méndez, A.
AU - Marquina-Pérez, J. V.
AU - Cruz-Irisson, M.
AU - Vázquez-Medina, R.
AU - Del-Río-Correa, J. L.
N1 - Funding Information:
This work was partially supported by the Project SIP-IPN: 20082690 and 25231-F from CONACyT. The computing facilities of UAM-Iztapalapa and lab facilities of the INAOE Puebla are fully acknowledged.
PY - 2009/3
Y1 - 2009/3
N2 - 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.
AB - 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.
KW - Analog noise generator
KW - Chaos
KW - Logistic map
UR - http://www.scopus.com/inward/record.url?scp=61549096282&partnerID=8YFLogxK
U2 - 10.1016/j.mejo.2008.06.042
DO - 10.1016/j.mejo.2008.06.042
M3 - Artículo
SN - 0026-2692
VL - 40
SP - 638
EP - 640
JO - Microelectronics Journal
JF - Microelectronics Journal
IS - 3
ER -