Title :
Statistical approach to measurements with microwave multi-port reflectometer and optimization of its construction
Author :
L´vov, A.A. ; Geranin, R.V. ; Semezhev, N. ; L´vov, P.A.
Author_Institution :
Int. Dept. of Appl. IT, Gagarin State Tech. Univ. of Saratov, Saratov, Russia
Abstract :
A new universal technique for microwave load complex reflection coefficient estimation with an arbitrary multiport reflectometer based on the solution of its quadric equations by the maximum likelihood method is proposed. The expressions for error matrix of estimating parameters are obtained in linear approximation that allows one to investigate analytically the measuring uncertainties. An optimization method of multiport parameters for measurement in narrow and wide frequency ranges is described. The results of computer simulation confirming the theoretical conclusions are given.
Keywords :
approximation theory; frequency measurement; matrix algebra; maximum likelihood estimation; measurement uncertainty; microwave measurement; optimisation; parameter estimation; reflectometers; statistical analysis; error matrix; frequency measurement; linear approximation; maximum likelihood method; measurement uncertainty; microwave load complex reflection coefficient estimation; microwave multiport reflectometer; optimization method; parameter estimation; quadric equation; statistical approach; Accuracy; Frequency measurement; Maximum likelihood estimation; Microwave measurement; Microwave theory and techniques; Ports (Computers); complex reflection coefficient; generalised variance; maximum likelihood method; multi-port reflectometer; optimisation procedure;
Conference_Titel :
Microwave Techniques (COMITE), 2015 Conference on
Conference_Location :
Pardubice
Print_ISBN :
978-1-4799-8121-2
DOI :
10.1109/COMITE.2015.7120229