Oscillator phase noise: a geometrical approach

Authors:
Torsten Djurhuus;Viktor Krozer;Jens Vidkjær;Tom K. Johansen
Affiliations:
DTU Electrical Engineering Department, Technical University of Denmark, Lyngby, Denmark;DTU Electrical Engineering Department, Technical University of Denmark, Lyngby, Denmark;DTU Electrical Engineering Department, Technical University of Denmark, Lyngby, Denmark;DTU Electrical Engineering Department, Technical University of Denmark, Lyngby, Denmark
Venue:
IEEE Transactions on Circuits and Systems Part I: Regular Papers
Year:
2009

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Abstract

We construct a coordinate-independent description of oscillator linear response through a decomposition scheme derived independently of any Floquet theoretic results. Trading matrix algebra for a simpler graphical methodology, the text will present the reader with an opportunity to gain an intuitive understanding of the well-known phase noise macromodel. The topics discussed in this paper include the following: orthogonal decompositions, AM-PM conversion, and nonhyperbolic oscillator noise response.