Determination of the propagation constant of coupled lines on chips based on high frequency measurements

Winkel, T.-M.; Dutta, L.S.; Grabinski, H.; Grotelüschen, E.

doi:10.1109/mcmc.1996.510777

Cited by 27 publications

(20 citation statements)

References 8 publications

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“…However, since measurements contain noise or error that is specific to the measurements when the measurements are actually made, the conventional methods [5,6] of determining transmission line characteristics based on actual measurements had difficulty in obtaining accurate transmission line characteristics. The reason is that since the conventional methods directly derived the transmission line characteristics from the measurement results of only the frequency characteristics or only the time-based response waveform, the influence of noise or error that is specific to the measurements is directly reflected in the transmission line characteristics.…”

Section: Subjects Involved In Determining Transmission Line Charactermentioning

confidence: 99%

Proposal for a transmission line analytical method using multi‐objective optimization

Iijima

Murakawa

Kasai

et al. 2007

Electron Comm Jpn Pt II

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SUMMARYRecently, simulations are increasingly important in the design and development of high-speed transmission circuits, and simulations of high-precision transmission lines based on actual measurements are essential. Therefore, in this paper, the authors propose a method of determining transmission line characteristics for implementing high-precision transmission simulations from transmission line measurement results. The authors had previously proposed a method of creating an equivalent circuit model from transmission line characteristics. Combining that method with the method proposed in this paper enables high-precision simulations based on actual measurements to be performed with a circuit simulator such as SPICE according to a procedure that (1) measures transmission lines, (2) determines transmission line characteristics, and (3) creates an equivalent circuit model. The method that is proposed in this paper for determining transmission line characteristics has two features: (1) fitting that simultaneously uses actually measured frequency characteristics and time-based response waveform and (2) fitting that uses multi-objective optimization. Specifically, the authors apply multi-objective optimization using a genetic algorithm to simultaneously fit multiple sets of frequency characteristics and time-based response waveforms. As a result, trial-and-error with weightings among the characteristics is unnecessary and fitting is automated. The results when the proposed method was actually verified by using micro-strip lines clearly showed that a high-precision simulation could be performed with respect to both the frequency and time axes.

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Section: Subjects Involved In Determining Transmission Line Charactermentioning

confidence: 99%

Proposal for a transmission line analytical method using multi‐objective optimization

Iijima

Murakawa

Kasai

et al. 2007

Electron Comm Jpn Pt II

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“…[2][3][4][5] show that, in general, the frequency dependency of parameter matrices , and due to substrate effects cannot be neglected if spectral signal frequencies up to 10 GHz are considered. for the substrate conductivity S/m (Fig.…”

Section: Frequency-domain Characterizationmentioning

confidence: 99%

“…Because the 3 We use the CLAPACK routine ZGEEV to perform the diagonalization. 4 Solely, Y Y Y 0 is invariant against renormalizations of the columns of modal matrix N N N. for any frequency are unity, and the magnitudes of the offdiagonal elements less than unity (for well conditioned much less)-a consequence of the normalization and linear independence of the columns of , and Schwarz's inequality-after above sorting a column of at , will represent the same physical current mode as the same column at (if the gridding is fine enough.) For the transmission-line system depicted in Fig.…”

Section: B Normalization and Mode Trackingmentioning

confidence: 99%

“…These tools are available as packages in sophisticated, although computationally expensive, FEM simulation software, or as implementations of specialized algorithms [2], [3] that exploit knowledge about the geometry of technologically relevant structures, e.g., by use of dyadic Green's functions for layered media. Recent reports about highly accurate on-chip measurements, from which the characterizing matrices at the various frequencies can be calculated, are quite promising, too, but still limited to two signal lines symmetrical about ground [4], [5]. Transient circuit simulation incorporating lossy transmission-line systems is of great importance to chip designers.…”

Section: Introductionmentioning

confidence: 99%

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Time-domain simulation of large lossy interconnect systems on conducting substrates

Braunisch

Grabinski²

1998

IEEE Trans. Circuits Syst. I

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The most general class of uniform transmission-line systems is considered, assuming that samples of the frequencydependent parameter matrices R R R; L L L; G G G, and C C C are given. In particular, substrate effects which influence wave propagation along integrated circuits (IC) interconnects typically over a very broad range of frequencies are included. A time-domain simulation technique which can handle this problem is described in detail. The algorithm can be embedded in general-purpose circuit simulators and is based on modal analysis, mode tracking, modal delay separation, broadband rational function leastsquares approximation directly in partial fraction form, and recursive convolution. A numerical example for realistic geometry and material parameters of the examined transmissionline structure shows the significance of substrate effects in the frequency and-more important-in the time domain.

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“…(1) (2) Experi menta l characterizing technique of coupled lines has made a signi ficant progress during past a few years as reported in [1], [2], [3] and [4]. But as seen in these reports, c omplex 4-port S -para meter measure ment and trivia 1 math ematical process are al ways necessary to analyze the e-mode and o-mode waves.…”

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confidence: 99%

A Novel Technique for Separating Even-mode and Odd-mode Excitation in On-wafer Coupled CPW Lines

Zhou

Nakamura

Chua

et al. 2000

2000 30th European Microwave Conference

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Two novel auxiliary patterns are developed to separately excite the even-mode and odd-mode waves of any on-wafer symmetrical coupled CPW lines. The two patterns, which are simple transmission lines with two test ports in mirror symmetry, can be used to accurately characterize even-mode and odd-mode respectively. With this method, a coupled DC block filter and a 12dB coupler are modeled in MDS and their simulation matches excellently with experimental result across a broadband frequency range from 0.04 to 94GHz.

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Determination of the propagation constant of coupled lines on chips based on high frequency measurements

Cited by 27 publications

References 8 publications

Proposal for a transmission line analytical method using multi‐objective optimization

Proposal for a transmission line analytical method using multi‐objective optimization

Time-domain simulation of large lossy interconnect systems on conducting substrates

A Novel Technique for Separating Even-mode and Odd-mode Excitation in On-wafer Coupled CPW Lines

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