Flow graphs are the effective tool for description of the complicated microwave measurement systems and usually are used in the process of creating measurement equation. The algorithm which can find this equation is known as the Mason's gain formula (MGF). This operation needs to perform a lot of symbolic computations so performing of this algorithm without proper software is heavy and is vulnerable to appearing some errors. This paper shows which existing scripts for MATLAB can be use to perform this task.


flow graphs; Mason's gain formula (MGF); scattering parameters; microwave measurement

Beillahi S. M., Siddique U., Tahar S.: Towards the Application of Formal Methods in Process Engineering, Department of Electrical and Computer Engineering, Concordia University, 2014.

Hall B. D.: Notes on complex measurement uncertainty, Measurements Standards Laboratory of New Zealand, 2010.

Lorens C. S.: Theory and application of flow graphs, Technical Report 317, MIT, 1956.

Mason S. J.: Feedback theory – further properties of signal flow graphs, Technical Report 303, MIT, 1955.

Fundamentals of RF and Microwave Power Measurements, Agilent, Application Note 64-1C, 2001.

Guidelines on the Evaluation of Vector Network Analysers (VNA), EURAMET cg-12, 2011.

S-parameter design, Agilent, Application Note AN154, 2006. - flow chart maker [20.04.2016], Walton R. TRLabs, Calgary, Alberta, Canada, [25.03.2016]


Published : 2016-08-08

Piróg, P. (2016). APPLICATION OF FLOW GRAPHS IN THE MICROWAVE MEASUREMENTS SYSTEMS. Informatyka, Automatyka, Pomiary W Gospodarce I Ochronie Środowiska, 6(3), 12-15.

Przemysław Piróg
Central Military Calibration Laboratory, Warsaw  Poland