TY - JOUR
T1 - Statistically Inspired Passivity Preserving Model Order Reduction
AU - Akram, Namra
AU - Alam, Mehboob
AU - Hussain, Rashida
AU - Massoud, Yehia Mahmoud
N1 - KAUST Repository Item: Exported on 2023-05-29
Acknowledgements: This work is supported by Mirpur University of Science and Technology (MUST), Mirpur - 10250, AJK, Pakistan, University of Poonch Rawalakot, AJK, 12350, Pakistan, King Abdullah University of Science and Technology (KAUST), Thuwal, 23955, Saudi Arabia.
PY - 2023/5/24
Y1 - 2023/5/24
N2 - 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.
AB - 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.
UR - http://hdl.handle.net/10754/692111
UR - https://ieeexplore.ieee.org/document/10132456/
U2 - 10.1109/access.2023.3279307
DO - 10.1109/access.2023.3279307
M3 - Article
SN - 2169-3536
SP - 1
EP - 1
JO - IEEE Access
JF - IEEE Access
ER -