학술논문

Frequency-Limited Reduction of Regular and Singular Circuit Models Via Extended Krylov Subspace Method
Document Type
Periodical
Source
IEEE Transactions on Very Large Scale Integration (VLSI) Systems IEEE Trans. VLSI Syst. Very Large Scale Integration (VLSI) Systems, IEEE Transactions on. 28(7):1610-1620 Jul, 2020
Subject
Components, Circuits, Devices and Systems
Computing and Processing
Integrated circuit modeling
Mathematical model
Computational modeling
Sparse matrices
Read only memory
Circuit simulation
Adaptation models
Balanced truncation
circuit simulation
model order reduction
Language
ISSN
1063-8210
1557-9999
Abstract
During the past decade, model order reduction (MOR) has become key enabler for the efficient simulation of large circuit models. MOR techniques based on balanced truncation (BT) offer very good error estimates and can provide compact models with any desired accuracy over the whole range of frequencies (from dc to infinity). However, in most applications the circuit is only intended to operate at specific frequency windows, which means that the reduced-order model can become unnecessarily large to achieve approximation over all frequencies. In this article, we present a frequency-limited approach which, combined with an efficient low-rank sparse implementation of the extended Krylov subspace (EKS) method, can handle large input models and provably leads to reduced-order models that are either smaller or exhibit better accuracy than full-frequency BT.