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Strength of signal flow in circuit simulation and its application

Circuit simulation is important for circuit design communities. Relaxation-based algorithms have been proven to be faster and more flexible than the standard direct approach used in SPICE. Signal flow analysis of the simulated circuit is very important in using Relaxation-based algorithms. However, there is no specific research undertaken for it. This paper discusses signal flows in circuit simulation, which gives two definitions for the strength of signal flow (SSF), discusses how to calculate SSF, and proposes techniques to utilize SSF in one of the Relaxation-base algorithms, ITA (Iterated Timing Analysis). Experimental examples on digital as well as analog circuits are given to prove the value of exploiting SSF in circuit simulation.