Error bounded Padé approximation via bilinear conformal transformation

Chung-Ping Chen, D. F. Wong

Research output: Chapter in book/report/conference proceedingConference proceedingpeer-review

11 Citations (Scopus)


Since asymptotic waveform evaluation (AWE) was introduced, many interconnect model order reduction methods via Pade approximation have been proposed. Although the stability and precision of model reduction methods have been greatly improved, the following important question has not been answered: "What is the error bound in the time domain?". This problem is mainly caused by the "gap" between the frequency domain and the time domain, i.e., a good approximated transfer function in the frequency domain may not be a good approximation in the time domain. All of the existing methods approximate the transfer function directly in the frequency domain and hence can not provide error bounds in the time domain. In this paper, we present new moment matching methods which can provide guaranteed error bounds in the time domain. Our methods are based on the classic work by Teasdale (1953) which performs Pade approximation in a transformed domain by the bilinear conformal transformation s=(1-z)/(1+z).
Original languageEnglish
Title of host publication36th ACM/IEEE Design Automation Conference - Proceedings 1999
Number of pages6
ISBN (Print)9781581131093, 1581130929
Publication statusPublished - 21 Jun 1999
Event36th ACM/IEEE Design Automation Conference, DAC 1999 - New Orleans, United States
Duration: 21 Jun 199925 Jun 1999 (Conference proceedings) (Conference proceedings)

Publication series

NameACM/IEEE Design Automation Conference - Proceedings
ISSN (Print)0738-100X


Competition36th ACM/IEEE Design Automation Conference, DAC 1999
Country/TerritoryUnited States
CityNew Orleans
Internet address


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