A Dyadic Green's Function Based Method for the Transient Analysis of Lossy and Dispersive Multiconductor Transmission Lines

Antonini, Giulio

doi:10.1109/tmtt.2008.919651

Cited by 50 publications

(75 citation statements)

References 41 publications

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“…Q s (z, s) is a per-unit-length blood flow source located at abscissa z [15]. Taking the one-dimensional divergence of (6a) and replacing it into (6b), we obtain:…”

Section: The Telegrapher's Equations As a Sturm-liouville Problemmentioning

confidence: 99%

“…In this work, starting from a linearized version of the NavierStokes equations, we present a spectral 1D model which is suitable for transient blood flow analysis. Using the analogy of the blood flow propagation problem with transmission lines, the corresponding Green's function is developed in a spectral (rational) form [15]. Hence, rational models that relates downstream and upstream pressure and blood flow can be computed and used for time-domain simulations.…”

Section: Introductionmentioning

confidence: 99%

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Spectral models for 1D blood flow simulations

Tamburrelli

Ferranti

Antonini

et al. 2010

2010 Annual International Conference of the IEEE Engineering in Medicine and Biology

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Abstract-In this paper we introduce a new theoretical formulation for the description of the blood flow in the circulatory system. Starting from a linearized version of the Navier-Stokes equations, the Green's function of the propagation problem is computed in a rational form. As a consequence, the inputoutput transfer function relating the upstream and downstream pressure and blood flow is written in a rational form as well, leading to a time-domain state-space model suitable for transient analysis. The proposed theoretical formulation has been validated by pertinent numerical results.

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“…Q s (z, s) is a per-unit-length blood flow source located at abscissa z [15]. Taking the one-dimensional divergence of (6a) and replacing it into (6b), we obtain:…”

Section: The Telegrapher's Equations As a Sturm-liouville Problemmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Spectral models for 1D blood flow simulations

Tamburrelli

Ferranti

Antonini

et al. 2010

2010 Annual International Conference of the IEEE Engineering in Medicine and Biology

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“…In the present paper the cited method is extended to perform the parametric sensitivity analysis of MTLs with respect to either geometric or physical parameters directly in the time-domain. the proposed technique it is based on the spectral decomposition proposed in [1], [2] and on the numerical interpolation of the p.u.l. parameters.…”

Section: Introductionmentioning

confidence: 99%

Time-domain parametric sensitivity analysis of multiconductor transmission lines

Spina

Ferranti

Antonini

et al. 2011

2011 IEEE 15th Workshop on Signal Propagation on Interconnects (SPI)

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We present a new parametric macromodeling technique for lossy and dispersive multiconductor transmission lines (MTLs). This technique can handle design parameters, such as substrate or geometrical layout features, and provide time-domain sensitivity information for voltage and currents at the ports of the lines. It is based on a recently introduced spectral approach for the analysis of lossy and dispersive MTLs [1], [2] and it is suited to generate state-space models and synthesize equivalent circuits, which can be easily embedded into conventional SPICE-like solvers. Parametric macromodels which provide sensitivity information are well suited for design space exploration, design optimization and crosstalk analysis. A numerical example validates the proposed approach in both frequency and time domain. IntroductionThe recent advances in fabrication methods and the rapid increase in operating speeds, density, and complexity of modern integrated circuits has made signal integrity a challenging task for high-frequency circuit designers. Consequently, highspeed interconnect modeling has become of paramount importance to properly capture physical effects such as reflection, crosstalk and propagation delays. The increased circuit complexity requires that designers make the proper trade-offs between conflicting design requirements using optimization techniques, in order to obtain the best possible performance. To achieve this goal, efficient and accurate sensitivity information with respect to interconnect parameters can be used to boost the efficiency of powerful optimizers that employ gradient-based techniques.In [3] a parametric macromodeling technique for lossy and dispersive MTLs is presented: it provides time-domain information for voltage and current at the ports of the lines, starting from the knowledge of the MTL per-unit-length (p.u.l.) parameters. In the present paper the cited method is extended to perform the parametric sensitivity analysis of MTLs with respect to either geometric or physical parameters directly in the time-domain. the proposed technique it is based on the spectral decomposition proposed in [1], [2] and on the numerical interpolation of the p.u.l. parameters.

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“…Since then, continuous improvements have been made toward higher accuracy and larger frequency ranges of approximation, e.g. [8]- [10]. Hence, the quality of the multiconductor transmission line models has improved considerably over the years.…”

Section: Introductionmentioning

confidence: 99%

Optimized Waveform Relaxation Methods for Longitudinal Partitioning of Transmission Lines

Al-Khaleel

Ruchli

Gander

2009

IEEE Trans. Circuits Syst. I

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Abstract-Waveform relaxation (WR) is a technique whichcan be used to solve large systems of ordinary differential equations (ODEs). It is especially suitable for the parallel solution of ODEs with multiple time scales, and has been successfully used for solution of electronic circuits and for solving partial differential equations (PDEs). The main issue limiting the utility of waveform relaxation is the class of problems with strong subsystem to subsystem couplings and long analysis time intervals resulting in non-uniform, slow convergence. Here we consider transmission line circuits since they represent an important part of a Spice type circuit solver. For transmission lines, the coupling between different lines is relatively weak, and thus partitioning in the transverse direction leads to very fast WR algorithms. However, longitudinal partitioning of transmission lines is very challenging due to the strong coupling which results. In this paper we propose an approach with improved convergence properties for strongly coupled longitudinal partitioning of transmission lines and other similarly strongly coupled circuits.Index Terms-Waveform relaxation and transmission lines, longitudinal partitioning, convergence analysis, fast convergence.

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A Dyadic Green's Function Based Method for the Transient Analysis of Lossy and Dispersive Multiconductor Transmission Lines

Cited by 50 publications

References 41 publications

Spectral models for 1D blood flow simulations

Spectral models for 1D blood flow simulations

Time-domain parametric sensitivity analysis of multiconductor transmission lines

Optimized Waveform Relaxation Methods for Longitudinal Partitioning of Transmission Lines

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