Analysis of Lossy Transmission Lines with Arbitrary Nonlinear Terminal Networks

Djordjević, A.R.; Sarkar, Tapan K.; Harrington, Roger F.

doi:10.1109/tmtt.1986.1133414

Cited by 173 publications

(60 citation statements)

References 13 publications

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“…On the other hand, time-frequency transform methods [8][9][10][11][12][13][14][15][16][17] have become popular for this purpose. These methods are more straightforward and make it easier to model the arbitrarily dispersive and lossy properties of an interconnect.…”

Section: Introductionmentioning

confidence: 99%

A Fast Approach for Simulating Long-Time Response of High-Speed Dispersive and Lossy Interconnects Terminated With Nonlinear Loads

Chiu

Chiang²

2009

PIER

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Abstract-This paper presents an efficient approach for analyzing the long-time response of high-speed dispersive and lossy interconnects terminated with nonlinear loads. In this approach, a fast realtime convolution algorithm with computational cost O(N log 2 N ) is suggested to tackle the long-time analysis of the high-speed dispersive and lossy interconnects, which are modeled by S-parameters. In addition, the acquirement of the S-parameters is recommended to adopt wideband closed-form formulas. The time response of a microstrip line with a nonlinear load is shown as a practical example. The dominant parameters affecting the response of this microstrip line is observed and discussed in detail. The approach demonstrates its efficiency and accuracy in the analysis.

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Section: Introductionmentioning

confidence: 99%

A Fast Approach for Simulating Long-Time Response of High-Speed Dispersive and Lossy Interconnects Terminated With Nonlinear Loads

Chiu

Chiang²

2009

PIER

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“…Although considerable amount of work has been done in recent years on the computation on the propagation characteristics of multiple coupled strip lines, a small number [1][2][3][4][5][6][7][8][9][10][11][12] of researchers have dealt with some aspects of the problem of calculation of the self and mutual line constants of on-chip interconnections, and a very limited number [3][4][5][6][7][8][9][10][11][12][13][14][15][16] has tackled the problem of 3-D multilevel metallization structures. 199 The purpose of this work is the detailed presentation of a self contained method developed 17 for the electrical modelling of lossy-coupled multilayer on-chip interconnection lines at high bit rates, which can be used by the VLSI designer in conjunction with existing electrical simulation packages.…”

Section: Introductionmentioning

confidence: 99%

Electrical Modelling of Multilevel On‐Chip Interconnections for High‐Speed Integrated Circuits

Dimopoulos

Avaritsiotis

White

1991

Active and Passive Electronic Components

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“…As transmission lines are generally characterized in the frequency domain and are usually terminated with nonlinear loads, the time domain models of transmission lines are derived by applying the convolution operation. This allows us to observe the transient response of the transmission line [1]. Considerable amount of research has been done in the literature to convert the frequency-domain solutions to time-domain responses.…”

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confidence: 99%

Equivalent-circuit interconnect modeling based on the fifth-order differential quadrature methods

Mazumder

2003

IEEE Trans. VLSI Syst.

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Abstract-This paper introduces an efficient and passive discrete modeling technique for estimating signal propagation delays through on-chip long interconnects that are represented as distributed RLC transmission lines. The proposed delay model is based on a less frequently used numerical approximation technique, called the differential quadrature method (DQM). The DQM can compute the partial derivative of a function at any arbitrary point located within a prespecified closed domain of the function by quickly estimating the weighted linear sum of values of the function at a relatively small set of well-chosen grid points within the domain. By using the fifth-order DQM, a new approximation framework is constructed in this paper for discretizing the distributed RLC interconnect and thereafter modeling its delay. Due to high efficiency of DQM approximation, the proposed framework requires only few grid points to achieve good accuracy. The presented equivalent-circuit model appears like the ones derived by the finite difference (FD) method. However, it has higher accuracy and less internal nodes than generated by the FD-based modeling. The fifth-order DQM modeling technique is shown to preserve passivity. It has linear forms that are compatible with the passive order-reduction algorithm for linear network. Numerical experiments show that the proposed modeling approach leads to high accuracy as well as high efficiency.Index Terms-Differential quadrature method (DQM), discrete transmission line model, equivalent circuit, interconnect modeling, passivity, transient simulation.

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Analysis of Lossy Transmission Lines with Arbitrary Nonlinear Terminal Networks

Cited by 173 publications

References 13 publications

A Fast Approach for Simulating Long-Time Response of High-Speed Dispersive and Lossy Interconnects Terminated With Nonlinear Loads

A Fast Approach for Simulating Long-Time Response of High-Speed Dispersive and Lossy Interconnects Terminated With Nonlinear Loads

Electrical Modelling of Multilevel On‐Chip Interconnections for High‐Speed Integrated Circuits

Equivalent-circuit interconnect modeling based on the fifth-order differential quadrature methods

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