Efficient computation of signal propagation delay with overshoot- and undershoot-control in VLSI interconnections

Voranantakul, Suwan; Prince, J.L.

doi:10.1109/33.214871

Cited by 16 publications

(5 citation statements)

References 4 publications

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“…Some previous work on transmission line design and termination has used pole-zero descriptions of simplified two-pole lumped circuits to specify critical damping, hence proper termination [2], [15]. In [3], a distributed interconnect model is used for self-damping lossy transmission lines on MCM's.…”

Section: Introductionmentioning

confidence: 99%

Analytic termination metrics for pin-to-pin lossy transmission lines with nonlinear drivers

Gupta¹,

Willis

Pileggi

1998

IEEE Trans. VLSI Syst.

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A significant percentage of the critical nets in highperformance systems are of the pin-to-pin type. To optimally design these nets such that signal integrity is preserved, efficient analytical metrics for transmission line termination are a valuable part of a system-level designer's toolset. Using the symbolic moment-based expressions in this paper, proper termination can be determined via a single-step procedure, without any preprocessing steps and/or time-domain simulations. Driver nonlinearities and effects of nonzero rise-time are also considered in the proposed termination methodology.Index Terms-RLC interconnect synthesis, signal integrity, transmission line termination.

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Section: Introductionmentioning

confidence: 99%

Analytic termination metrics for pin-to-pin lossy transmission lines with nonlinear drivers

Gupta¹,

Willis

Pileggi

1998

IEEE Trans. VLSI Syst.

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“…The objective of the optimization problem is: (15) where the rows of are signed rows of the identity matrix and a bound constraint is considered "active" when . The problem in (15) defines a nonlinear optimization task with linear constraints.…”

Section: 2: Minimization Subject To Bounds Constraintmentioning

confidence: 99%

“…As of January 1996, he will be with Carnegie Mellon University, Dept. of ECE, Pittsburgh, PA 15213. ble-shooting problem to a front-end design and synthesis objective.In previous work on transmission line synthesis, interconnect models have been used to obtain a simplified polezero description of the circuit behavior [3,15]. In [5], a distributed interconnect model is used for self-damping lossy transmission lines on MCMs, but this method and the lumped RLC approximations are limited to pin-to-pin nets and cannot account for driver rise-time or loading conditions on the line effectively.…”

mentioning

confidence: 99%

Constrained multivariable optimization of transmission lines with general topologies

Gupta¹,

Pileggi²

Proceedings of IEEE International Conference on Computer Aided Design (ICCAD)

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1: IntroductionIncreasing switching speeds and complexity of VLSI circuits is taking the task of system level interconnect design from the realm of purely "a designer's intuition" to that which requires the aid of a CAD tool. Signal integrity is becoming a significant factor in determining the reliability and performance of an electronic system, and enormous resources are being harnessed to analyze and ensure that signal integrity objectives are met. For high-performance systems, designers are beginning to promote the task of system level interconnect design from a mere trou-* This work was supported in part by the Semiconductor Research Corporation under contract 95-DJ-343 and the National Science Foundation under contract MIP-9157263. † Rohini Gupta is now with AT&T Bell Laboratories, Allentown PA 18103. ‡ Formerly Lawrence T. Pillage. As of January 1996, he will be with Carnegie Mellon University, Dept. of ECE, Pittsburgh, PA 15213. ble-shooting problem to a front-end design and synthesis objective.In previous work on transmission line synthesis, interconnect models have been used to obtain a simplified polezero description of the circuit behavior [3,15]. In [5], a distributed interconnect model is used for self-damping lossy transmission lines on MCMs, but this method and the lumped RLC approximations are limited to pin-to-pin nets and cannot account for driver rise-time or loading conditions on the line effectively. Since transmission line effects dominate when the rise-time, , is much smaller than the time-of-flight on the line, rise-time is an important parameter affecting transmission line behavior. In [17], a reduced order two-pole approximation is obtained for the transfer function after extracting the high-frequency time-of-flight of the transmission line. This preprocessing step of extracting the time-of-flight [17] and generating an effective two-pole representation taking into account the effect of "off-path" loads [19,21] for a general transmission line topology presents a costly overhead for a design automation tool.Moment based techniques for optimal termination have been presented in [7,11] to efficiently account for loading conditions on the line, loss in the line and the input signal rise-time. The symbolic treatment in [7] offers an efficient and effective technique for pin-to-pin transmission line nets. This paper generalizes these moment-based metrics to consider arbitrary transmission line tree structures, and formulates the design objective as a nonlinear constrained optimization problem.Moments are used as metrics of the distributed transmission line model that characterize the signal behavior such that synthesis is feasible in the frequency domain without resorting to any preprocessing steps or timedomain simulations [8,11]. This allows the integration of different design variables such as width, length of the line, resistive source or far-end termination, etc., into a common t r

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“…In previous work on transmission line synthesis, interconnect models have been used to obtain a simplified pole-zero description of the circuit behavior [4,20].…”

Section: Introductionmentioning

confidence: 99%

On moment based metrics for optimal termination of transmission line interconnects

Gupta

Krauters

Pileggi

Proceedings of 9th International Conference on VLSI Design

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The design of system level interconnects to meet signal integrity objectives is a challenging problem. This paper presents moment based techniques for optimal termination of transmission lines. Since obtaining moments of a circuit has been shown to be a computationally eficient task, this method provides a means to account for the effects of loading conditions along the line, loss in the line, input signal risetime, and direrent net topologies into an eficient design tool. No iterative time-domain analyses are required and since the technique uses the first few moments of the exact distributed model of a transmission line net, no pre-processing steps are involved. All these factors make this methodology conducive for integration into a CAD tool for design optimization.

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Efficient computation of signal propagation delay with overshoot- and undershoot-control in VLSI interconnections

Cited by 16 publications

References 4 publications

Analytic termination metrics for pin-to-pin lossy transmission lines with nonlinear drivers

Analytic termination metrics for pin-to-pin lossy transmission lines with nonlinear drivers

Constrained multivariable optimization of transmission lines with general topologies

On moment based metrics for optimal termination of transmission line interconnects

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