# Chapter 10. Signal-Flow Graphs and Their Applications

Published Online: 25 AUG 2004

DOI: 10.1002/0471653764.ch10

Copyright © 2004 John Wiley & Sons, Inc.

Book Title

## Radio-Frequency and Microwave Communication Circuits: Analysis and Design, Second Edition

Additional Information

#### How to Cite

Misra, D. K. (2004) Signal-Flow Graphs and Their Applications, in Radio-Frequency and Microwave Communication Circuits: Analysis and Design, Second Edition, John Wiley & Sons, Inc., Hoboken, NJ, USA. doi: 10.1002/0471653764.ch10

#### Publication History

- Published Online: 25 AUG 2004
- Published Print: 17 AUG 2004

#### ISBN Information

Print ISBN: 9780471478737

Online ISBN: 9780471653769

- Summary
- Chapter

### Keywords:

- Mason's gain rule;
- signal-flow graph for a voltage source;
- signal-flow graph for a passive single-port;
- signal-flow graph for a two-port network;
- transducer power-gain;
- available power-gain;
- operating power-gain

### Summary

The 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.