Numerical continuation methods: an introduction
Numerical continuation methods: an introduction
Algorithm 652: HOMPACK: a suite of codes for globally convergent homotopy algorithms
ACM Transactions on Mathematical Software (TOMS)
Homotopy techniques for obtaining a DC solution of large-scale MOS circuits
DAC '96 Proceedings of the 33rd annual Design Automation Conference
Simulation of high-Q oscillators
Proceedings of the 1998 IEEE/ACM international conference on Computer-aided design
Frequency domain simulation of high-Q oscillators with homotopy methods
Proceedings of the 2004 IEEE/ACM International conference on Computer-aided design
Accelerating harmonic balance simulation using efficient parallelizable hierarchical preconditioning
Proceedings of the 44th annual Design Automation Conference
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
Robust Harmonic-Probe method for the simulation of oscillators
IEEE Transactions on Circuits and Systems Part I: Regular Papers - Special section on 2009 IEEE custom integrated circuits conference
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We present a novel method for finding periodic steady states of general classes of oscillators robustly. The new method, which we term the multi-harmonic probe (MHP) technique, generalizes the well-known technique of augmenting harmonic balance (HB) for oscillators using an external probe. By using non-sinusoidal periodic probes, MHP enhances the applicability of the standard probe method (which uses purely sinusoidal probes) to broader classes of oscillators. We thus obtain a general and robust method for the periodic steady state of any kind of oscillator. Results on LC and ring oscillator circuits are presented that testify to the efficacy of our approach.