When a frequency domain sensor is under the effect of an input stimulus, there is a frequency shift at its output. One of the most important advantages of such sensors is their converting a physical input parameter into time variations. In consequence, changes of an input stimulus can be quantified very precisely, provided that a proper frequency counter/meter is used. Unfortunately, it is well known in the time-frequency metrology that if a higher accuracy in measurements is needed, a longer time for measuring is required. The principle of rational approximations is a method to measure a signal frequency. One of its main properties is that the time required for measuring decreases when the order of an unknown frequency increases. In particular, this work shows a new measurement technique, which is devoted to measuring the frequency shifts that occur in frequency domain sensors. The presented research result is a modification of the principle of rational approximations. In this work a mathematical analysis is presented, and the theory of this new measurement method is analysed in detail. As a result, a new formalism for frequency measurement is proposed, which improves resolution and reduces the measurement time.

JO - Metrology and Measurement Systems L1 - http://journals.pan.pl/Content/107339/PDF/123.pdf L2 - http://journals.pan.pl/Content/107339 IS - No 1 KW - frequency measurement KW - rational approximations KW - sensors ER - A1 - Murrieta-Rico, Fabian N. A1 - Petranovskii, Vitalii A1 - Sergiyenko, Oleg Y. A1 - Hernandez-Balbuena, Daniel A1 - Lindner, Lars PB - Polish Academy of Sciences Committee on Metrology and Scientific Instrumentation VL - vol. 24 JF - Metrology and Measurement Systems T1 - A New Approach to Measurement of Frequency Shifts Using the Principle of Rational Approximations UR - http://journals.pan.pl/dlibra/docmetadata?id=107339 DOI - 10.1515/mms-2017-0007