Computing phase noise eigenfunctions directly from steady-state Jacobian matrices

Authors:
Alper Demir;David Long;Jaijeet Roychowdhury
Affiliations:
Bell Laboratories, Murray Hill, New Jersey;Bell Laboratories, Murray Hill, New Jersey;Bell Laboratories, Murray Hill, New Jersey
Venue:
Proceedings of the 2000 IEEE/ACM international conference on Computer-aided design
Year:
2000

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Abstract

The main effort in oscillator phase noise calculation lies in computing a vector function called the Perturbation Projection Vector (PPV). Current techniques for PPV calculation use time domain numerics to generate the system's monodromy matrix, followed by full or partial eigenanalysis. We present a superior method that finds the PPV using only a single linear solution of the oscillator's time- or frequency-domain steady-state Jacobian matrix. The new method is better suited for existing tools with fast harmonic balance or shooting capabilities, and also more accurate than explicit eigenanalysis. A key advantage is that it dispenses with the need to select the correct one-eigenfunction from amongst a potentially large set of choices, an issue that explicit eigencalculation based methods have to face.