Title :
Segregation by primary phase factors: a full-wave algorithm for model order reduction
Author :
Klemas, Thomas J. ; Daniel, Luca ; White, Jacob K.
Author_Institution :
Res. Lab. for Electron., Massachusetts Inst. of Technol., Cambridge, MA, USA
Abstract :
Existing full-wave model order reduction (FMOR) approaches are based on expanded Taylor series approximations (ETAS) of the oscillatory full-wave system matrix. The accuracy of such approaches hinges on the worst case interaction distances, producing accurate models over a very narrow band of frequencies. In this paper we present segregation by primary phase factors (SPPF), an algorithm for FMOR enabling wideband interconnect impedance analysis. SPPF extracts exponential terms (primary phase factors) and then approximates the smoother remainder with ETAS, thus resulting in good accuracies over a very wide band of frequencies. We also present a technique to improve conditioning for the required computation. Example results are given for simple interconnect structures modeled using a discretized mixed potential integral equation formulation.
Keywords :
integral equations; integrated circuit interconnections; integrated circuit modelling; network analysis; reduced order systems; expanded Taylor series approximations; full-wave impedance extraction; full-wave model order reduction; integral equation; interaction distances; interconnect structures model; oscillatory full-wave system; primary phase factors; wideband interconnect impedance analysis; Circuit analysis; Frequency; Geometry; Impedance; Integrated circuit interconnections; Jacobian matrices; Permission; Taylor series; Time of arrival estimation; Wideband;
Conference_Titel :
Design Automation Conference, 2005. Proceedings. 42nd
Print_ISBN :
1-59593-058-2
DOI :
10.1109/DAC.2005.193951