Noise Analysis of Single-Ended Input Differential Amplifier using Stochastic Differential Equation

In this paper, we analyze the effect of noise in a single- ended input differential amplifier working at high frequencies. Both extrinsic and intrinsic noise are analyzed using time domain method employing techniques from stochastic calculus. Stochastic differential equations are used to obtain autocorrelation functions of the output noise voltage and other solution statistics like mean and variance. The analysis leads to important design implications and suggests changes in the device parameters for improved noise characteristics of the differential amplifier.

• Tarun Kumar Rawat
• Abhirup Lahiri
• Ashish Gupta

• Single-ended input differential amplifier
• Noise
• stochastic differential equation
• mean and variance.

[1] Nodar, James (Dallas, Tx, US) Single ended preampli-
fiers having improved noise characteristics, United States
patent 20010053036 Texas Instruments Incorporated,
http://www.freepatentsonlinee.com/20010053036.html
[2] Wei Yu and Bosco H. Lueng, Noise Analysis for Sampling Mixers using
Differential Equations, IEEE Trans. on Circuits and Systems-II: Analog
and Digital Signal Processesing, Vol. 46, No. 6, June 1999.
[3] A. Demir, E. W. Y. Liu, and L. S. Vincentelli, Time Domain Non Monte
arbitary excitation, IEEE Trans. Computer Aided Design, Vol. 15, pp.
493-505, May 1996.
[4] L. Arnold, Stochastic Differential Equation, John Wiley, New York, 1974.
[5] Adel S. Sedra and Kenneth C. Smith Microelectronic Circuits, New York:
Oxford University Press, 2003, Ch.-7.
[6] I. Karatzas and S. E. Shreve, Brownian motion and Stochastic Calculus,
2nd Edition, New York,: Springer-Verlag, 1991.
[7] Z. Schuss, Theory and Applications of Random Noise, Bell sys. tech. J. vols.
23 and 24, Ch 4.6-4.9.
[9] A. Papoulis Probability, Random Variables and Stochastic Processes,
New York: McGraw Hill, 1965.
[10] Thomas C. Gard Introduction to Stochastic Differential Equations, New York :Marcel Dekker Inc.