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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)
In this paper, we describe an approach for generating accurate geometrically parameterized integrated circuit interconnect models that are efficient enough for use in interconnect synthesis. The model-generation approach presented is automatic, and is based on a multiparameter moment matching model-reduction algorithm. A moment-matching theorem proof for(More)
This paper presents a parameterized reduction technique for highly nonlinear systems. In our approach, we first approximate the nonlinear system with a convex combination of parameterized linear models created by linearizing the nonlinear system at points along training trajectories. Each of these linear models is then projected using a moment-matching(More)
Uncertainties have become a major concern in integrated circuit design. In order to avoid the huge number of repeated simulations in conventional Monte Carlo flows, this paper presents an intrusive spectral simulator for statistical circuit analysis. Our simulator employs the recently developed generalized polynomial chaos expansion to perform uncertainty(More)
In this paper we present an efficient algorithm for extracting the complete statistical distribution of the input impedance of interconnect structures in the presence of a large number of random geometrical variations. The main contribution in this paper is the development of a new algorithm, which combines both Neumann expansion and Hermite expansion, to(More)
An efficient approach to full-wave impedance extraction is developed that accounts for substrate effects through the use of two-layer media Green's functions in a mixed-potential-integral-equation (MPIE) solver. Particularly, the choice of implementation for the layered media Green's functions motivates the development of accelerated techniques for both(More)
—Brain-inspired arrays of parallel processing oscilla-tors represent an intriguing alternative to traditional computational methods for data analysis and recognition. This alternative is now becoming more concrete thanks to the advent of emerging oscillators fabrication technologies providing high density packaging and low power consumption. One challenging(More)
Currents injected by CMOS digital circuit blocks into the power grid and into the substrate of a system-on-a-chip may affect reliability and performance of other sensitive circuit blocks. To verify the correct operation of the system, an upper bound for the spectrum of the noise current has to be provided with respect to all possible transitions of the(More)
In this paper an optimization based model order reduction (MOR) framework is proposed. The method involves setting up a quasiconvex program that explicitly minimizes a relaxation of the optimal <i>H</i>&#8734; norm MOR problem. The method generates guaranteed stable and passive reduced models and it is very flexible in imposing additional constraints. The(More)