Application of recursive convolution to transient simulation of interconnects using a hybrid phase-pole macromodel

A hybrid phase-pole macromodel (HPPM), which explicitly includes phase shifts (time delays) in addition to the system poles, was recently developed for modeling interconnects. In this paper, the HPPM is applied to the transient simulation of interconnects. First, the time-domain source waveform is expanded in terms of triangular expansion functions. Knowledge of the triangle impulse response (TIR) for an interconnect, which is represented in the form of an HPPM, then allows for the time domain simulation of the interconnect. A recursive convolution algorithm is adopted to carry out the required convolutions efficiently in the transient simulator. Combining this transient simulator with an HPPM extractor yields a transient interconnect signal analysis tool.

[1]  George A. Katopis,et al.  A fast simulation method for single and coupled lossy lines with frequency-dependent parameters based on triangle impulse responses , 1999, IEEE 8th Topical Meeting on Electrical Performance of Electronic Packaging (Cat. No.99TH8412).

[2]  Tao Hu,et al.  A study of a hybrid phase-pole macromodel for transient simulation of complex interconnects structures , 2005, IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems.

[3]  Tingdong Zhou,et al.  Triangle impulse response (TIR) calculation for lossy transmission line simulation , 2001, IEEE 10th Topical Meeting on Electrical Performance of Electronic Packaging (Cat. No. 01TH8565).

[4]  S.L. Dvorak,et al.  Extraction of the hybrid phase-pole macromodel parameters using the matrix pencil method , 2002, Electrical Performance of Electronic Packaging,.

[5]  Ernest S. Kuh,et al.  Transient simulation of lossy interconnect , 1992, [1992] Proceedings 29th ACM/IEEE Design Automation Conference.

[6]  E. K. Miller,et al.  Model-based parameter estimation in electromagnetics. I. Background and theoretical development , 1998 .

[7]  J. L. Prince,et al.  Exploration of a new, efficient approach to modeling and simulation of interconnects , 2001, 2001 Proceedings. 51st Electronic Components and Technology Conference (Cat. No.01CH37220).

[8]  J. L. Prince,et al.  Development of a time-domain simulation methodology for the hybrid phase-pole interconnect macromodel , 2002, 52nd Electronic Components and Technology Conference 2002. (Cat. No.02CH37345).

[9]  Anestis Dounavis,et al.  A comparative study of two transient analysis algorithms for lossy transmission lines with frequency-dependent data , 2001 .