A frequency domain approach to performance optimization of high-speed VLSI interconnects

Liu, R.; Zhang, Q.-J.; Nakhla, M.

doi:10.1109/22.179909

Cited by 16 publications

(4 citation statements)

References 16 publications

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“…Once the adjoint sources are set, the adjoint network is analyzed. According to (21), the desired response sensitivity is calculated from (23) The sensitivity with respect to any design parameter is (24) Notice that, in (24), the only terms that need to be recalculated for different are the matrix derivatives , . The solutions of the original circuit and the adjoint circuit do not depend on any perturbation, i.e., they are independent of and are computed once.…”

Section: Response Sensitivity and Adjoint Excitationmentioning

confidence: 99%

Adjoint Techniques for Sensitivity Analysis in High-Frequency Structure CAD

Nikolova

Bandler

Bakr

2004

IEEE Trans. Microwave Theory Techn.

103

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Abstract-There is a revival of the interest in adjoint sensitivity analysis techniques. This is partly because current computer-aided-design software based on full-wave electromagnetic (EM) solvers remains too slow for the purposes of practical high-frequency structure design despite the increasing capacity of computers. The adjoint-variable methods for design sensitivity analysis offer computational speed and accuracy. They can be used for efficient gradient-based optimization, in tolerance and yield analysis. Adjoint-based sensitivity analysis for circuits has been well studied and extensively covered in the microwave literature. In comparison, sensitivities with full-wave analysis techniques have attracted little attention, and there have been few applications into feasible and versatile algorithms. We review adjoint-variable methods used in high-frequency structure design with both circuit analysis techniques and full-wave EM analysis techniques. A brief discussion on adjoint-based sensitivity analysis for nonlinear dynamic systems is also included.

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Section: Response Sensitivity and Adjoint Excitationmentioning

confidence: 99%

Adjoint Techniques for Sensitivity Analysis in High-Frequency Structure CAD

Nikolova

Bandler

Bakr

2004

IEEE Trans. Microwave Theory Techn.

103

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“…As the signal speed increases, the effects of Very Large Scale Integration (VLSI) interconnects such as delay, distortion and crosstalk become the dominant factor limiting the performance of the overall VLSI system [1] . The time response of these lines has been of interest for many years and studied thoroughly [2−9] .…”

Section: Introductionmentioning

confidence: 99%

Transient analysis of nonuniform transmission lines with nonlinear terminal networks

Zhao

Xue

et al. 2006

J. of Electron.(China)

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A semi-analytical method in time domain is presented for analysis of the transient response of nonuniform transmission lines. In this method, the telegraph equations in time domain is differenced in space domain first, and is transformed into a set of first-order differential equations of voltage and current with respect to time. By integrating these differential equations with respect to time, and precise computation, the solution of these differential equations can be obtained. This method can solve the transient response of various kinds of transmission lines with arbitrary terminal networks. Particularly, it can analyze the nonuniform lines with initial conditions, for which there is no existing effective method to analyze the time response so far. The results obtained with this method are stable and accurate. Two examples are given to illustrate the application of this method.

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“…Applying AWE technique to(12), we can obtain the corresponding steady state, residues and poles for Ax(t), i.e., AX1, KL and pL. Then the updated…”

mentioning

confidence: 99%

Successive asymptotic waveform evaluation of lossy distributed networks with nonlinear terminations

Liu

Zhang

Nakhla

1993

23rd European Microwave Conference, 1993

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A frequency domain approach to performance optimization of high-speed VLSI interconnects

Cited by 16 publications

References 16 publications

Adjoint Techniques for Sensitivity Analysis in High-Frequency Structure CAD

Adjoint Techniques for Sensitivity Analysis in High-Frequency Structure CAD

Transient analysis of nonuniform transmission lines with nonlinear terminal networks

Successive asymptotic waveform evaluation of lossy distributed networks with nonlinear terminations

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