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Stable and efficient reduction of substrate model networks using congruence transforms

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3 Author(s)
K. J. Kerns ; Dept. of Electr. Eng., Washington Univ., Seattle, WA, USA ; I. L. Wemple ; A. T. Yang

Parasitic analog-digital noise coupling has been identified as a key issue facing designers of mixed-signal integrated circuits. In particular signal cross talk through the common chip substrate has become increasingly problematic. The paper demonstrates a new methodology for developing simulation, synthesis, and verification models to analyze the global electrical behavior of the non-ideal semiconductor substrate. RC substrate network models, which are generated via a triangular discretization method, are accurately approximated for subsequent analysis by an efficient reduction algorithm. This algorithm utilizes the well-conditioned Lanczos process to formulate Pade approximations of the network port admittance. Congruence transformations are employed to ensure stability, and to create reduced networks which are easily realizable with SPICE-compatible RC elements. For validation, the strategy has been successfully applied to several mixed-signal circuit examples.

Published in:

Computer-Aided Design, 1995. ICCAD-95. Digest of Technical Papers., 1995 IEEE/ACM International Conference on

Date of Conference:

5-9 Nov. 1995