Thermodynamical Phase Noise in Oscillators Based on L-C Resonators (Foundations)

Jose-Ignacio Izpura, Javier Malo

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DOI: 10.4236/cs.2012.31008                

Abstract

By a Quantum-compliant model for electrical noise based on Fluctuations and Dissipations of electrical energy in a Complex Admittance, we will explain the phase noise of oscillators that use feedback around L-C resonators. Under this new model that departs markedly from current one based on energy dissipation in Thermal Equilibrium (TE), this dissipation comes from a random series of discrete Dissipations of previous Fluctuations of electrical energy, each linked with a charge noise of one electron in the Capacitance of the resonator. When the resonator out of TE has a voltage between terminals, a discrete Conversion of electrical energy into heat accompanies each Fluctuation to account for Joule effect. This paper shows these Foundations on electrical noise linked with basic skills of electronic Feedback to be used in a subsequent paper where the aforesaid phase noise is explained by the new Admittance-based model for electrical noise.

Keywords

Admittance-Based; Noise Model; Energy Dissipation; Energy Conversion into Heat; Phase Noise

Conflicts of Interest

The authors declare no conflicts of interest.

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