Realization of frequency-domain circuit analysis through random walk

This paper presents the realization of frequency-domain circuit analysis based on random walk framework for the first time. In conventional random walk based circuit analyses, the sample movement at a node is randomly chosen to follow the edge probabilities. The probabilities are determined by edge-admittances connecting to the node, which is impossible to apply for the frequency-domain analysis because the probabilities are imaginary numbers. By applying the idea of importance sampling, the intractable imaginary probabilities are converted into real numbers while maintaining the estimation correctness. Runtime acceleration through incremental analysis is also proposed.