Smoothed form of nonlinear phase macromodel for oscillators

• Published in: 2008 IEEE/ACM International Conference on Computer-Aided Design pp. 807 - 814
• Main Authors: Gourary, M.M., Rusakov, S.G., Ulyanov, S.L., Zharov, M.M., Mulvaney, B.J., Gullapalli, K.K.
• Format: Conference Proceeding
• Language: English
• Published: IEEE 01-11-2008
• Subjects: Circuit simulation; Computational modeling; Differential equations; Frequency; Injection-locked oscillators; Nonlinear equations; Performance analysis; Phase noise; Ring oscillators; Stability analysis
• ISBN: 142442819X; 9781424428199
• ISSN: 1092-3152; 1558-2434
• DOI: 10.1109/ICCAD.2008.4681669

This paper proposes an improvement to the well-known oscillator nonlinear phase macromodel based on Floquet theory. A smoothed form of the nonlinear phase macromodel is derived by eliminating highly oscillatory terms in the macromodel, resulting in a significant speed-up in transient simulation. For an LC oscillator under sinusoidal excitation the new macromodel is equivalent to the Adler model. Numerical experiments confirm a considerable decrease of computational efforts. It is further shown that the new macromodel allows one to perform phase noise analysis of locked oscillators under arbitrary periodic injection.