Model Reduction in the Time-Domain Using Laguerre Polynomials and Krylov Methods

Authors:
Y. Chen;V. Balakrishnan;C. Koh;K. Roy
Affiliations:
ECE, Purdue University, West Lafayette, IN;ECE, Purdue University, West Lafayette, IN;ECE, Purdue University, West Lafayette, IN;ECE, Purdue University, West Lafayette, IN
Venue:
Proceedings of the conference on Design, automation and test in Europe
Year:
2002

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Abstract

We present a new passive model reduction algorithm basedon the Laguerre expansion of the time response of inter-connectnetworks. We derive expressions for the Laguerrecoefficient matrices that minimize a weighted square of theapproximation error, and show how these matrices can becomputed efficiently using Krylov subspace methods. Wediscuss the connections between our method and other meth-odssuch as PRIMA [4]. Numerical simulations show thatour method can better approximate the original model ascompared to PRIMA.