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Noise analysis of a CMOS inverter using the Itô stochastic differential equation

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2 Author(s)
Gawalwad, B.G. ; Electr. Eng. Dept., S.V. Nat. Inst. of Technol., Surat, India ; Sharma, S.N.

The noise-free CMOS inverter is described by a first- order non-linear differential equation that can be regarded as a standard case in electronic circuits from the system-theoretic viewpoint. In lieu of the noise-free CMOS inverter, this paper explains the stochastic CMOS inverter at the low power supply voltage. The method of this paper utilizes the Kolmogorov-Fokker-Planck equation for the noise analysis of the CMOS inverter. In this paper, first we develop the CMOS inverter Itô Stochastic Differential Equation (SDE). Secondly, a system of two-coupled state estimation equations is derived. The numerical experimentations are demonstrated for the noise analysis of the CMOS inverter circuits as well.

Published in:

Control Applications (CCA), 2012 IEEE International Conference on

Date of Conference:

3-5 Oct. 2012