A simplified synthesis of transmission lines with a tree structure
Analog Integrated Circuits and Signal Processing - Special issue on high-speed interconnects
Optimal equivalent circuits for interconnect delay calculations using moments
EURO-DAC '94 Proceedings of the conference on European design automation
Automatic control systems (7th ed.)
Automatic control systems (7th ed.)
An explicit RC-circuit delay approximation based on the first three moments of the impulse response
DAC '96 Proceedings of the 33rd annual Design Automation Conference
Optimal Design of Self-Damped Lossy Transmission Lines for Multichip Modules
ICCS '94 Proceedings of the1994 IEEE International Conference on Computer Design: VLSI in Computer & Processors
MCMC '96 Proceedings of the 1996 IEEE Multi-Chip Module Conference (MCMC '96)
Transmission line synthesis via constrained multivariable optimization
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
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In this paper, an optimization scheme is proposed for interconnect design with wire width and series resistance being design variables. Due to the distributed nature of interconnects, poles of such systems are transcendental and infinite in number. First, a two-pole approximation is used to capture the system behavior. Lower-order moments are employed to obtain two approximate dominant poles. Then, the two parameters, damping ratio and natural undamped frequency, are expressed as functions of the two dominant poles. Since the output response is characterized by the two parameters, the parameters are used to define the objective function and constraints, which form a constrained multivariable nonlinear optimization problem. After that, the optimization problem is solved using gradient projection method. One advantage of our approach is the ability to explicitly control the maximum overshoot of the observation points. Two numerical examples are given.