Circuit theory of the equilibrium electrical noise bispectrum

Boris M. Grafov

doi:10.1117/12.486021

8 May 2003 Circuit theory of the equilibrium electrical noise bispectrum

Boris M. Grafov

Proceedings Volume 5115, Noise and Information in Nanoelectronics, Sensors, and Standards; (2003) https://doi.org/10.1117/12.486021
Event: SPIE's First International Symposium on Fluctuations and Noise, 2003, Santa Fe, New Mexico, United States

Abstract

This work brings into use the well known circuit theory concept that states that the short-circuit noise current is related to the open-circuit noise voltage through a small-signal admittance (or small-signal impedance). This concept is perfectly illustrated by the famous Nyquist theorem for nonlinear equilibrium systems. The original results that are described in this report are as follows: (1) the equilibrium fluctuation-dissipation theorem of the 3rd order that is consistent with the cumulant spectrum invariance concept holds only for the bispectrum with equal frequencies, i.e. for the one-frequency bispectrum. (2) the one-frequency bispectrum of the equilibrium electrical fluctuations is proportional to magnitude of the small-signal quadratic rectification at the equilibrium state.

Citation Download Citation

Boris M. Grafov "Circuit theory of the equilibrium electrical noise bispectrum", Proc. SPIE 5115, Noise and Information in Nanoelectronics, Sensors, and Standards, (8 May 2003); https://doi.org/10.1117/12.486021

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