Computer Aided Analysis of VLSI circuits based on a Partitioning Technique.

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We studied 3 projects in VLSI circuit analysis as follows :1. The steady-state analysis of nonlinear electronic circuits.We proposed here two efficient algorithms for getting the steady-state responses of nonlinear circuits. They are based on both time-domain and frequency-domain approaches. At the first step, a given nonlinear circuit is partitioned into the linear subnetworks and the nonlinear subnetworks with substitution sources, and their responses are solved with different techniques of the phasor method to the linear and a time-domain method to the nonlinear subnetwork, respectively. Then, the result response of the combined circuit can be calculated by an interational technique based on the harmonic balance or relaxation method. The algorithm can be easily applied to large scale circuits, efficiently.2. Transient analysis of distributed circuits with a circuit partitioning technique.We partition a given circuit into the linear distributed circuits and the nonlinear subnetworks with substitution sources. The transient waveform is calculated in such manner that both responses of the subnetworks to the sources have the same waveform at each partitioning point, where the linear subnetworks are solved by numerical inverse Laplace transformation and the nonlinear subnetworks by a numerical integration technique. The algorithm is efficiently applied to LSI circuit containing transmission lines and distributed circuits.3. A efficient curve tracing algorithm.We presented a predictor-corrector tracing curve algorithm for analysis of nonlinear circuits. It can efficiently trace the curves even if they have sharp terning points. Hence, it is used to found DC solution of nonlinear electronic circuits containing diodes and transistors.