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The Matrix Expression of Signal Flow Graph and Its Application in System Analysis Software

Signal Flow Graph (SFG) is an alternative expression to block diagram of complex linear system. The solution of SFG named Mason’s Formula is based on the topology of the SFG. Using Mason’s Formula we can get the system’s function in one step with a neat form. Since topology relation can hardly be expressed analytically, so it has not been used in any computer aided Design software. In this article, the matrix expression of SGF was deduced. Based on this expression, a MATLAB function for calculating the system model was obtained. Examples are given to show the efficiency and advantages of this method comparing to the existed MATLAB functions. I. General State Equation of SFG