Balanced truncation with spectral shaping for RLC interconnects

Authors:
Payam Heydari;Massoud Pedram
Affiliations:
Department of EE-Systems, University of Southern California, Los Angeles, CA;Department of EE-Systems, University of Southern California, Los Angeles, CA
Venue:
Proceedings of the 2001 Asia and South Pacific Design Automation Conference
Year:
2001

Citing 7
Cited 2

Alternating direction implicit iteration for systems with complex spectra

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Error bound for transfer function order reduction using frequency weighted balanced truncation

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An efficient Lyapunov equation-based approach for generating reduced-order models of interconnect

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Efficient model reduction of interconnect via approximate system gramians

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Linear Systems

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Efficient linear circuit analysis by Pade approximation via the Lanczos process

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Model reduction of variable-geometry interconnects using variational spectrally-weighted balanced truncation

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A new and efficient approach for estimating the accurate time-domain response of single and capacitive coupled distributed RC interconnects

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Abstract

This paper presents a numerically stable and efficient algorithm for model reduction of large RLC networks using frequency-weighted balanced truncation technique. The salient features of this algorithm include guaranteed stability of the reduced transfer function as well as availability of provable frequency-weighted error bounds. Such frequency weighting is essential to provide better control over time-domain error of the reduced system. The first k largest singular values of the system are obtained using the Lanczos algorithm, and the Lyapunov equations are solved by an iterative Lyapunov equation solver. Experimental results demonstrate the higher accuracy of our technique compared to Krylov-subspace-based model reduction techniques and other truncated balanced realizations that do not use spectral shaping. Based on MATLAB simulations, the run-time of our method is only 5% more than that of PRIMA.