Chapter 9. Signal-Flow Graphs and Applications

  1. Devendra K. Misra Ph.D.

Published Online: 25 MAR 2002

DOI: 10.1002/0471224359.ch9

Radio-Frequency and Microwave Communication Circuits: Analysis and Design

Radio-Frequency and Microwave Communication Circuits: Analysis and Design

How to Cite

Misra, D. K. (2001) Signal-Flow Graphs and Applications, in Radio-Frequency and Microwave Communication Circuits: Analysis and Design, John Wiley & Sons, Inc., New York, USA. doi: 10.1002/0471224359.ch9

Author Information

  1. Department of Electrical Engineering and Computer Science, University of Wisconsin–Milwaukee, Milwaukee, Wisconsin, USA

Publication History

  1. Published Online: 25 MAR 2002
  2. Published Print: 1 MAR 2001

ISBN Information

Print ISBN: 9780471412533

Online ISBN: 9780471224358

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Keywords:

  • nodes;
  • branches;
  • path;
  • loop;
  • Mason's gain rule;
  • transducer power gain;
  • available power gain;
  • operating power gain

Summary

Signal-flow graph is a graphical means of portraying the relationship among the variables of a set of linear algebraic equations. S. J. Mason originally introduced it to represent the cause-and-effect of linear systems. Associated terms are defined in this chapter along with the procedure to draw the signal-flow graph for a given set of algebraic equations. Further, signal-flow graphs of microwave networks are obtained in terms of their S-parameters and associated reflection coefficients. The manipulation of signal-flow graphs is summarized to find the desired transfer functions. Finally, the relations for transducer power gain, available power gain, and operating power gain are formulated in this chapter.