Investigating Measurement Errors in Dual-Frequency Probing Technique by Mathematical Modeling

Abstract

We present mathematical modeling of the process of determining the time coordinate of the moment of arrival of a pulse echo in the dual-frequency probing technique, as well as graphs of the involved measurement error versus the comparator’s discrimination threshold for different ratios of frequencies and distances and ratio of the frequencies of emitted pulses. Mathematical modeling has revealed limiting cases in which the measurement error increases and can reach 3–4%. Analysis of results has made it possible to identify additional requirements for the mathematical processing of received signals to keep the error within 1%.