A general class of passive macromodels for lossy multiconductor transmission lines

Dounavis, A.; Achar, R.; Nakhla, M.

doi:10.1109/22.954772

Cited by 117 publications

(73 citation statements)

References 20 publications

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“…The unknown parameters i y , i ϑ can be determined from the minimization of error (8). It can be shown that the most appropriate norm is based on a Padé-Chebyshev approximant [16], which is equivalent to setting the following moments equal to zero: (15) for m=0, … , 2k-2n-1.…”

Section: Construnction Of Optimal Gridmentioning

confidence: 99%

“…The first class explores the application of model order reduction techniques, based on Padé approximations, using either asymptotic waveform evaluation (AWE) or Krylov subspace techniques, together with the state-space formulation of the solution of the transmission line system to develop reduced-order multiport macromodels of the MTLs (e.g., [5], [8]- [10]). The development of such macromodels is complicated by the requirement of ensuring the passivity of the generated multi-port macromodels.…”

Section: Introductionmentioning

confidence: 99%

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Passive synthesis of compact frequency-dependent interconnect models via quadrature spectral rules

Yioultsis¹,

Woo²,

Cangellaris³

2003

ICCAD-2003. International Conference on Computer Aided Design (IEEE Cat. No.03CH37486)

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In this paper, we present a reduced order modeling methodology, based on the utilization of optimal non-uniform grids generated by Gaussian spectral rules, for the direct passive synthesis of SPICE-compatible modeling of multi-conductor interconnect structures. The algorithm is based on a Padé-Chebyshev approximation of the frequency-dependent input impedance matrix of the passive interconnect system. The synthesized circuit is represented as the concatenation of a number of non-uniform sections of passive lumped coupled circuits. However, contrary to the popular uniform segmentation-based distributed circuit models for interconnects, where 10 to 15 segments per minimum wavelength are needed for multi-GHz accuracy, the proposed model is "optimal" in the sense that highly-accurate responses can be obtained with a number of segments per minimum wavelength barely exceeding the Nyquist limit of 2. This high accuracy stems from the super-exponential convergence of the Padé-Chebyshev approximation of the input impedance of the transmission-line model of the interconnect, and results in the synthesis of MNA stamps for the interconnect structure with five to ten times reduction in the number of state variables compared to uniform grids.Moreover, the passivity of the generated SPICEcompatible multi-port models is guaranteed through the use of passive equivalent circuits for the representation of the frequencydependent, per-unit-length series impedance and shunt admittance matrices of the interconnect.

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Section: Construnction Of Optimal Gridmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Passive synthesis of compact frequency-dependent interconnect models via quadrature spectral rules

Yioultsis¹,

Woo²,

Cangellaris³

2003

ICCAD-2003. International Conference on Computer Aided Design (IEEE Cat. No.03CH37486)

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show abstract

“…It combines the merits of both the Method of Characteristics (MoC) [2] and the Matrix Rational Approximation (MRA) [3] algorithms, and is based on delay extraction prior to performing the MRA. The delay effects are represented by lossless transmission lines instead of lumped circuits.…”

Section: Introductionmentioning

confidence: 99%

Parallel Simulation of High-Speed Interconnects using Delay Extraction and Transverse Partitioning

Nakhla

Achar

et al. 2007

2007 IEEE Electrical Performance of Electronic Packaging

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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 lines. The computational cost of the proposed method grows linearly with the number of coupled lines. In addition, the algorithm is highly suitable for parallel implementation leading to further significant reduction in the computational complexity.

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“…But, as the frequency of operation increases, the conventional lumped models become inadequate. The method will lead to large circuit matrices and the simulation becomes inefficient [8,9,10]. Macromodeling of the transmission line is an efficient technique to solve these problems.…”

Section: Introductionmentioning

confidence: 99%

Fast transient analysis method for lossy nonuniform transmission line with nonlinear terminations

Yang¹,

Wang²,

Zhou³

et al. 2015

IEICE Electron. Express

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A fast and effective approach for simulating lossy nonuniform transmission line with the nonlinear terminations is presented. The method based on the improved delay extraction-based macromodeling algorithm (DEPACT) for the lossy uniform transmission line. Meanwhile, by reducing the approximation order, the macromodel is simplified and the simulation time is reduced. The simulation results are compared with the finite difference time domain (FDTD) method and good agreement is obtained.

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A general class of passive macromodels for lossy multiconductor transmission lines

Cited by 117 publications

References 20 publications

Passive synthesis of compact frequency-dependent interconnect models via quadrature spectral rules

Passive synthesis of compact frequency-dependent interconnect models via quadrature spectral rules

Parallel Simulation of High-Speed Interconnects using Delay Extraction and Transverse Partitioning

Fast transient analysis method for lossy nonuniform transmission line with nonlinear terminations

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