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The major concerns in state-of-the-art model reduction algorithms are: achieving accurate models of sufficiently small size, numerically stable and efficient generation of the models, and preservation of system properties such as passivity. Algorithms such as PRIMA generate guaranteed-passive models, for systems with special internal structure, using(More)
Since the first papers on asymptotic waveform evaluation (AWE), Pade-based reduced order models have become standard for improving coupled circuit-interconnect simulation efficiency. Such models can be accurately computed using bi-orthogonalization algorithms like Pade via Lanczos (PVL), but the resulting Pade approximates can still be unstable even when(More)
This paper presents a model reduction algorithm motivated by a connection between frequency domain projection methods and approximation of truncated balanced realizations. The method produces guaranteed passive models, has near-optimal error properties, is computationally simple to implement, contains error estimators, and can incorporate frequency(More)
Multipoint projection methods have gained much notoriety in model-order reduction of linear, nonlinear, and parameter-varying systems. A well-known difficulty with such methods lies in the need for clever point selection to attain model compactness and accuracy. In this paper, the authors present a method for sample point selection in multipoint(More)
Industry trends aimed at integrating higher levels of circuit functionality have triggered a proliferation of mixed analog-digital systems. Magnified noise coupling through the common chip substrate has made the design and verification of such systems an increasingly difficult task. In this paper we present a fast eigendecomposition technique that(More)
As VLSI circuit speeds have increased, reliable chip and system design can no longer be performed without accurate three-dimensional interconnect models. In this paper, we describe an integral equation aproach to modeling the impedance of inter-connect structures accounting for both the charge accumulation on the surface of conductors and the current(More)
As system integration evolves and tighter design constraints must be met, it becomes necessary to account for the non-ideal behavior of all the elements in a system. Certain devices common in high-frequency integrated circuit applications, such as spiral inductors, SAW filters, etc, are often described and studied in the frequency domain. Models take the(More)
This paper describes an automatic methodology for optimizing sample point selection for using in the framework of model order reduction (MOR). The procedure, based on the maximization of the dimension of the subspace spanned by the samples, iteratively selects new samples in an efficient and automatic fashion, without computing the new vectors and with no(More)
As system integration evolves and tighter design constraintsmust be met, it becomes necessary to account forthe non-ideal behavior of all the elements in a system. Forhigh-speed digital, and microwave systems, it is increasinglyimportant to model previously neglected frequency domaineffects.In this paper, results from Nevanlinna-Pick interpolationtheory are(More)