Macromodelling oscillators using Krylov-subspace methods

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Macromodelling oscillators using Krylov-subspace methods

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with EDA Technofair Design Automation Conference Asia and South Pacific archive
Proceedings of the 2006 conference on Asia South Pacific design automation table of contents

Yokohama, Japan

SESSION: High frequency interconnect effects in nanometer technology table of contents

Pages: 527 - 532

Year of Publication: 2006

ISBN:0-7803-9451-8

Authors

Xiaolue Lai	University of Minnesota
Jaijeet Roychowdhury	University of Minnesota

Sponsors

: IEEE Circuits and Systems Society
SIGDA: ACM Special Interest Group on Design Automation
IEICE ESS : Institute of Electronics, Information and Communication Engineers, Engineering Sciences Society
IPSJ SIG-SLDM : Information Processing Society of Japan, SIG System LSI Design Methodology

Publisher

IEEE Press Piscataway, NJ, USA

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Downloads (6 Weeks): 4, Downloads (12 Months): 20, Citation Count: 1

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ABSTRACT

We present an efficient method for automatically extracting unified amplitude/phase macromodels of arbitrary oscillators from their SPICE-level circuit descriptions. Such comprehensive oscillator macromodels are necessary for accuracy when speeding up simulation of higher-level circuits/systems, such as PLLs, in which oscillators are embedded. Standard MOR techniques for linear time invariant (LTI) and varying (LTV) systems are not applicable to oscillators on account of their fundamentally nonlinear phase behavior. By employing a cancellation technique to deflate out the phase component, we restore the validity and efficacy of Krylov-subspace-based LTV MOR techniques for macromodelling oscillator amplitude responses. The nonlinear phase response is re-incorporated into the macromodel after the amplitude components have been reduced. The resulting unified macromodels predict oscillator waveforms, in the presence of any kind of input or interference, at far lower computational cost than full SPICE-level simulation, and with far greater accuracy compared to existing macromodels. We demonstrate the proposed techniques on LC and ring oscillators, obtaining speedups of 30-120 x with no appreciable loss of accuracy, even for small circuits.

REFERENCES

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