Efficient finite-difference method for quasi-periodic steady-state and small signal analyses

Authors:
Baolin Yang;Dan Feng
Affiliations:
Cadence, San Jose, CA;Cadence, San Jose, CA
Venue:
Proceedings of the 2000 IEEE/ACM international conference on Computer-aided design
Year:
2000

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Abstract

This paper discusses a finite-difference mixed frequency-time (MFT) method for the quasi-periodic steady-state analysis and introduces the quasi-periodic small signal analysis. A new approach for solving the huge nonlinear system the MFT finite difference method generates from practical circuits is given, which makes efficient frequency-sweeping quasi-periodic small-signal analysis possible. The new efficient solving technique works well with the Krylovsubspace recycling or reuse [4], which can not be achieved with existing techniques. In addition, this paper gives a way to calculate the quasi-periodic Fourier integration weights, necessary in the adjoint MFT small-signal analyses, and a way to calculate quasi-periodic large-signal Fourier spectrum that is more efficient than existing methods. Numerical examples also show that the finite-difference MFT method can be significantly more accurate than shooting-Newton MFT method and the new preconditioning technique is more efficient.