Signal-flow graphs: Direct method of reduction and MATLAB implementation

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Teixeira, MCM
Marchesi, H. F.
Assuncao, E.

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Institute of Electrical and Electronics Engineers (IEEE)


Block diagrams and signal-flow graphs are used to represent and to obtain the transfer function of interconnected systems. The reduction of signal-flow graphs is considered simpler than the reduction of block diagrams for systems with complex interrelationships. Signal-flow graphs reduction can be made without graphic manipulations of diagrams, and it is attractive for a computational implementation. In this paper the authors propose a computational method for direct reduction of signal-flow graphs. This method uses results presented in this paper about the calculation of literal determinants without symbolic mathematics tools. The Cramer's rule is applied for the solution of a set of linear equations, A program in MATLAB language for reduction of signal-flow graphs with the proposed method is presented.



Mason's rule, signal-flow graphs, symbolic calculations, transfer functions

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IEEE Transactions on Education. New York: IEEE-Inst Electrical Electronics Engineers Inc., v. 44, n. 2, p. 185-190, 2001.