Analysis of VLSI multiconductor systems by bi-level waveform relaxation

Wang, R.; Wing, O.

doi:10.1109/iccad.1990.129870

Cited by 18 publications

(3 citation statements)

References 7 publications

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“…Then, the small signal nonlinear characteristic of the driver can be expressed as voltage-controlled conductance as (8) where and . The current in the simplified driver model of Fig.…”

Section: A Multilinear Theorymentioning

confidence: 99%

“…Subsequently, other related methods were developed for the analysis of multiconductor transmission line systems with nonlinear terminations [8], [9]. Recently, the approach has been reformulated to take advantage of the weak coupling between interconnects [12].…”

Section: B Waveform Relaxation Techniquesmentioning

confidence: 99%

“…In this example, the simultaneous switching noise of a differential interconnect system is analyzed using waveform relaxation method [8], [9]. The system is first divided into linear and nonlinear subnetworks.…”

Section: B Examplementioning

confidence: 99%

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Applications of Multilinear and Waveform Relaxation Methods for Efficient Simulation of Interconnect-Dominated Nonlinear Networks

Beyene

2008

IEEE Trans. Adv. Packag.

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Applications of multilinear and waveform relaxation methods are presented for efficient transient analysis of interconnect-dominated nonlinear networks. In this paper, two procedures that realize these well-known and fundamental theories in conventional circuit simulation tools are developed by taking advantage of the unique characteristics of interconnect networks. The multilinear theory uses the Volterra functional series to decompose the nonlinear network into multiple linear networks. Then, the solutions of the mildly nonlinear network are obtained from the linear combinations of sequences of responses of the decomposed linear networks. On the other hand, the waveform relaxation technique is used to solve networks with strong nonlinearity. The networks are partitioned into linear and nonlinear subnetworks and each subnetwork is solved iteratively using the waveform relaxation technique. Simplified analysis steps that give good insight into these techniques are also derived analytically. Finally, the accuracy and efficiency of the methods are verified with two examples.

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“…Then, the small signal nonlinear characteristic of the driver can be expressed as voltage-controlled conductance as (8) where and . The current in the simplified driver model of Fig.…”

Section: A Multilinear Theorymentioning

confidence: 99%

Section: B Waveform Relaxation Techniquesmentioning

confidence: 99%