Approximation of Large-scale System using Equivalent-Norm Frequency selected Projection

Malik, Rahila; Alam, Mehboob; Muhammad, Shah

doi:10.1109/ibcast54850.2022.9990382

Cited by 1 publication

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“…ern design tools for the simulation of on-chip interconnect are numerically expensive and often lack passivity preserving approximation of on-chip systems [8], [9]. In recent decades, complex and large-scale Model Order Reduction (MOR) has been a subject of major interest [10], [11], [12], [13], [14]. These large-scale systems extract sparse matrices and have a positive real transfer function, which necessitates the use of MOR approaches that preserve passivity for the approximate solution of the original system.…”

Section: Introductionmentioning

confidence: 99%

Statistically Inspired Passivity Preserving Model Order Reduction

et al. 2023

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The continuous scaling of the on-chip devices and interconnects increases the complexity of the design space and becomes a crucial factor in the fabrication of modern integrated circuits. The ever decreasing of interconnect pitch along with process enhancement into the nanometer regime had shifted the paradigm from a device-dominated to an interconnect-dominated methodology. In the design methodology, Model Order Reduction (MOR) reduces the size of large-scale simulation of on-chip interconnect to speed up the performance of design tools and chip validation. In approximating the original system, the passivity preserving MOR technique of using spectral zeros as positive real interpolation points preserves the stability and passivity of the system. In this work, statistical distribution techniques are proposed for the selection of spectral zeros. The proposed method is based on using the gaussian, uniform, binomial, and weibull distributions to select spectral zeros to better match moments with the least absolute error between the original and reduced-order systems. The results show that the reduced-order model developed using the Gaussian distributed Spectral zeros Projection (GSP) method offers higher accuracy and numerical stability compared to other distributions.INDEX TERMS Statistical distribution, model order reduction, passivity preserving, spectral zeros, on-chip interconnects, computer aided design.

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