### Highlights from Mason.m

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# Mason.m

### Rob Walton (view profile)

08 Feb 2000 (Updated )

Mason.m uses mason's rule to simplify signal flow graphs.

File Information
Description

Mason.m uses mason's rule to simplify signal flow graphs. It takes a file describing the network and produces a symbolic equation relating a dependent output node to an independent input node.

The directory contains a comprehensive readme file and an example network file to experiment with. Mason's rule is traditionally used for control system analysis but has applications in microwave circuit design, filter design and many other areas.

Acknowledgements

This file inspired Calculating The Data Of A Hysteresis Loop Image.

MATLAB release MATLAB 5.3.1 (R11.1)
Other requirements Note: Symbolic Toolbox recommended
09 Aug 2013 Arsen Arakelyan

### Arsen Arakelyan (view profile)

Hi, thanks for this submission. It's really great job.

Yet, I have a question. I'm using it to calculate gains for the graphs with positive feedback loops. at the calculation step I feed network with numeric coefficients (via num2str) and the call eval(Num)/eval(Den) to obtain numerical gain. But with positive feedback loops I always get negative denumerator. Is there a way how to handle positive feedback loop properly using Masons formula?

Thanks,

Arsen

Comment only
26 Mar 2013 Soraya

### Soraya (view profile)

Very nice and clean code, thanks for making it accessible to anyone, it is a powerful tool!

02 Dec 2008 Huaichen Chen

### Huaichen Chen (view profile)

The program is good, but too complex to understand.
We developed a simple way to solve this peoblem in our new submitted file signal_flow_graphz. Where the network description file is replaced by a connection matrix Q and an input Matrix P. The simultaneous equations of the linear system are expressed in a matrix form:
X=QX+PU.
The solution is expressed by a simple MATLAB inversion command line:
W=X/U=inv(eye(size(Q))-Q)*P
Thus the calculation process is completely transparent to the user and eazier to debug or to modify. In signal_flos_graphz this command line is replaced by a function sigflow.m just for doing some check to matrices Q and P. Moreover, this method is valid to MIMO systems.

03 Apr 2008 rami dred
04 Mar 2008 Antonio Nanner

Simple to use, but very useful

11 Jan 2007 Kosta Grgurevic

Good

thank you

16 Nov 2005 racky lee

nice!

03 Nov 2005 Lei Pan

Very nice. Just wondering if possible to contrustruct paths automatically by readling a state-flow diagram?

04 Mar 2005 aji devianto

ok

15 Jan 2004 Salomon Luque
17 Mar 2003 Josh Weaver

Impressive

30 Nov 2002 Francisco Lotufo