Title :
Multiprobe microwave multimeter error definition on its sensor error base
Author :
Volkov, V.M. ; Zaichenko, O.B. ; Yevdokimov, V.V.
Author_Institution :
Dept. of Telecommun. & Meas. Techniques, Kharkiv Nat. Univ. of Radio Electron., Ukraine
Abstract :
This paper propose a new method of estimation of multiprobe microwave multimeter algorithms precision by mean of accumulation of partial error. The least square solution is used for variance and covariance matrix definition. The weighted coefficient is obtained from algorithms derivatives with respect to intermediate variable. Substituting the expression for standard deviation (variance) end weighted coefficient in formula for partial error accumulation we can compare different algorithms, study frequency properties of algorithms and make conclusion about its applicability in multiprobe microwave multimeter for passing power and reflection coefficient definition. It was proved that solutions (i.e. algorithms) are the same for analytic and numerical (least square) method. So it is possible apply least square solution for three equation with three unknown variable.
Keywords :
covariance matrices; measurement errors; microwave measurement; analytic method; covariance matrix definition; least square method; least square solution; multiprobe microwave multimeter algorithms precision; multiprobe microwave multimeter error definition; numerical method; partial error accumulation; reflection coefficient; sensor error base; standard deviation; variance matrix definition; weighted coefficient; Covariance matrix; Frequency; Least squares methods; Microwave devices; Microwave sensors; Nonlinear equations; Reflection; Sensor phenomena and characterization; Sensor systems; Transmission line measurements;
Conference_Titel :
Antenna Theory and Techniques, 2005. 5th International Conference on
Print_ISBN :
0-7803-9261-2
DOI :
10.1109/ICATT.2005.1496997