Generalized Noise Analysis of Log Domain Static Translinear Circuits

Authors: E. Farshidi

Abstract:

This paper presents a new general technique for analysis of noise in static log-domain translinear circuits. It is demonstrated that employing this technique, leads to a general, simple and routine method of the noise analysis. The circuit has been simulated by HSPICE. The simulation results are seen to conform to the theoretical analysis and shows benefits of the proposed circuit.

Keywords: Noise analysis, log-domain, static, dynamic, translinear loop, companding.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1054891

References:

[1] B. Gilbert, "Translinear circuits: A proposed classification," Electron.Lett., vol. 11, no. l, pp. 14-16, 1975.
[2] D. R. Frey, "Exponential state space filters: A generic current mode design strategy," IEEE Trans. Circuits Syst. I, vol. 43, pp. 34-42, Jan.1996.
[3] R. W. Adams, "filtering in the log domain," presented at the 63rd Audio Eng. Soc. Conf., New York, NY, preprint q1470, May 1979.
[4] E. Seevinck and R. J. Wiegerink, "Generalized translinear circuit principle," IEEE J.Solid -State Circuits, vol. 26, no. 8, pp. 1098-1102, aug.1991.
[5] A. J. Lopez-Martin and A. Carlosena, "Systematic design of companding systems by component substitution," Anal. Integr. Circuits Signal Process., vol. 28, pp. 91-106, 2001.
[6] J. Mulder, M. H. L. Kouwenhoven, W. A. Serdijn , A. C. van der Woerd, and A. H. M. van Roermund, "Nonlinear analysis of noise in static and dynamic translinear circuits," IEEE Trans. Circuits Syst. .II,vol. 46, pp. 266-277, Mar.1999.
[7] T. Serrano-Gotarredona, B. Linares-Barranco, and A. G. Andreou, "A General Translinear Principle for Subthreshold MOS Transistors," IEEE Trans. On Circuits and Systems-I: fundamental Theory and Applications, vol.46, no. 5,pp. 607-616, May 1999.
[8] N. M. Blachman, "The signal-signal, noise-noise, and signal-noise output of a nonlinearity," IEEE Trans.InformationTheory, vol. IT-14, pp. 21-27, Jan.1968.
[9] J. Mulder, W. A. Serdijn ,A. C. van der Woerd, and A. H. M. van Roermund, "Dynamic translinear and log-domain circuits analysis and synthesis," Kluwer Academic Publishers,pp.157-189,1999.