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An non-intrusive technique is proposed for time-domain variability analysis of large circuits with multiple stochastic parameters and stochastic terminations. A stochastic collocation technique is used in combination with a moment matching parameterized model order reduction approach and numerical inversion of Laplace transform. Pertinent numerical results validate the proposed method.
A novel method is presented for time-domain statistical analysis of large active circuits with multiple stochastic parameters. It is based on a stability-preserving model order reduction algorithm coupled with stochastic collocation schemes. Pertinent numerical results validate the proposed method.
An advanced technique for numerical inversion of Laplace transform is presented for time-domain statistical analysis of large active circuits with multiple stochastic parameters. The proposed method is based on a model-order reduction technique that guarantees the stability of the reduced active circuit by construction. Pertinent numerical results are presented that validate the efficiency and accuracy...
This paper presents an executable architecture tool for the modeling and simulation of operational process models using MATLAB. The new capability provides the means to validate and refine processes, perform dynamic behavioural analysis and to identify bottlenecks and gaps in the process. Using ubiquitous software eliminates the need for specialized training and enables multi-national coordination...
As circuit sizes increase, a means to improve the performance of simulations is constantly demanded, without sacrificing the accuracy of the results. To achieve this goal, a new parallel scheduler is presented exploiting binary link formulations that allows modern multi-core processors to achieve superior performance. These improvements are obtained without sacrificing accuracy or resorting to iterative...
When the geometric dimensions become electrically large or signal waveform rise times decrease, time delays must be included in the modeling. We present an innovative PMOR technique for neutral delayed differential systems, which is based on an efficient and reliable combination of univariate model order reduction methods, amplitude and frequency scaling coefficients and positive interpolation schemes...
We propose a novel model order reduction technique that is able to accurately reduce electrically large systems with delay elements, which can be described by means of neutral delayed differential equations. It is based on an adaptive multipoint expansion and model order reduction of equivalent first order systems. The neutral delayed differential formulation is preserved in the reduced model. Pertinent...
An efficient method for ripple analysis of networks with synchronized switching power converters is proposed. While the focus of previous publications is on the operation of a single power converter, the proposed method extends the steady-state and ripple analysis to the area of power converter systems. A network consisting of several converters is modeled as a single piece-wise linear system. The...
A common strategy for steady-state analysis of switching power converters has been to pose the analysis problem as a nonlinear boundary-value problem which can be solved using time-domain shooting methods. However, the resulting nonlinear equations for closed loop converters are, in general, ill-conditioned. The proposed method uses a new set of constraints which define the nonlinear boundary-value...
This paper presents an efficient parallel algorithm for transient simulation of power grids in VLSI systems. Novel parallel Gauss-Seidel algorithm has been developed employing waveform relaxation iterations for application to power grid networks. Proof of convergence of the proposed WR algorithm for power grid analysis is presented. Unlike direct solvers, the new method is highly parallelizable and...
Computer aided design tools are an integral part of the design flow of modern electronic systems. However, lack of physical consistency of the models that are used in the simulation and optimization cycle can cause the design tools to slow down unpredictably or even fail. This tutorial provides a comprehensive analysis of this important topic, with emphasis on relevant properties of the macromodel...
Ensuring the passivity of macromodels obtained from tabulated data has become a critical issue for accurate signal integrity analysis. For delayed rational function based macromodels derived in the admittance domain, the issue of passivity has recently been addressed. In this paper, passivity verification and compensation algorithms for delayed rational function based macromodels derived in the scattering...
This paper presents a fast algorithm for transient simulation of power grids in VLSI systems using waveform relaxation techniques. Novel partitioning methods and convergence accelerators are developed for fast convergence of waveform relaxation iterations when applied to power grid networks. Unlike the direct-solvers, the new method is highly parallelizable and yields significant speed-ups. Numerical...
Passivity has become a critical issue while modeling high-speed networks characterized by tabulated data. For modules containing long delays, macromodeling based on delayed rational functions has been gaining popularity in recent years. However, there are currently no passivity verification or enforcement methods available for such macromodels. To address this issue, this paper proposes passivity...
This paper presents a fast algorithm for transient simulation of power grids in VLSI systems using waveform relaxation techniques. Novel partitioning methods and convergence accelerators are developed for fast convergence of waveform relaxation iterations when applied to power grid networks. Unlike the direct solvers, the new method is highly parallelizable and yields significant speedups. Numerical...
In this paper, an advanced macromodeling tool based on z-domain orthonormal vector fitting (ZD-OVF) is proposed. This novel method provides accurate and compact models for linear subnetworks using either frequency- or time-domain tabulated data. For this purpose, a new set of orthonormal basis functions are developed. Utilizing the z-domain orthonormal basis functions improves the numerical conditioning...
This paper presents a new algorithm for fast electromagnetic interference analysis of high-speed interconnects. This algorithm is based on the recently developed waveform relaxation method using transfer partitioning. The proposed algorithm provides a significant computational advantage with a linear growth in time-complexity and easy parallel implementation.
The large number of ports in an interconnect structure is a critical limiting factor when applying model-order reduction. This is due to the fact that the size of the reduced model grows rapidly with increasing the number of ports, leading to large and dense circuit matrices. To address this problem, a novel method based on transverse partitioning and waveform relaxation is proposed for passive model-order...
The large number of coupled lines in an interconnect structure is a serious limiting factor in simulating high-speed circuits. In this paper, a transverse partitioning algorithm is presented for transient analysis of large multiconductor transmission line circuits. The new method uses a passive delay extraction-based macromodelling algorithm which makes the method suitable for both long and short...
This paper presents an efficient method for simulating a large number of coupled interconnects in the presence of electromagnetic interference. The algorithm is based on transverse partitioning and waveform relaxation techniques. The computational cost of the proposed algorithm increases only linearly with the number of lines compared to the more than cubic growth in conventional methods. In addition,...
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