Abstract
Proposed were algorithms implementing the method of randomization for the digital measurement of the resonance frequency using the frequency or amplitude modulation of the frequency synthesizer output by a random signal. Formulas were obtained for systematic and random error of these algorithms. Numerical study of the randomization method was carried out using a model of the sensing element of the resonance detection device. The algorithm of one-dimensional frequency randomization was shown to demonstrate the best metrological parameters.
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Viktorov, V.A., Lunkin, B.V., and Sovlukov, A.S., Vysokochastotnyi metod izmereniya neelektricheskikh velichin (High-frequency Method to Measure Non-electrical Quantities), Moscow: Nauka, 1978.
Murphy, E. and Slattery, S., Direct Digital Synthesis (DDS) Controls Waveforms in Test, Measurement, and Communications, Analog Dialogue, 2005, vol. 39, no. 8, http://www.analog.com/library/analogDialogue/archives/39-08/dds apps.pdf.
Solodov, A.V., Teoriya informatsii i ee primenenie k zadacham avtomaticheskogo upravleniya i kontrolya (Information Theory and Its Application to the Problems of Automatic Control and Monitoring), Moscow: Nauka, 1967.
Granichin, O.N. and Polyak, B.T., Randomizirovannye algoritmy otsenivaniya i optimizatsii pri pochti proizvol’nykh pomekhakh (Randomized Algorithms for Estimation and Optimization under Almost Arbitrary Noise), Moscow: Nauka, 2003.
Omel’chenko, A.V., Kupko, V.S., Kovshov, S.B., et al., Method of Randomization at Measurements Using Digital Devices, Ukräin. Metrol. Zh., 2008, no. 4, pp. 49–53.
Fateev, V.Ya., Method of Measurement of the Resonance Frequency, RF Patent no. 2 541 119, 2015.
Losev, A.K., Lineinye radiotekhnicheskie tsepi (Linear Radio Engineering Circuits), Moscow: Vysshaya Shkola, 1971.
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Original Russian Text © V.Ya. Fateev, 2015, published in Avtomatika i Telemekhanika, 2015, No. 11, pp. 145–159.
This paper was recommended for publication by B.V. Lunkin, a member of the Editorial Board
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Fateev, V.Y. Using the randomization method in digital resonance detection devices. Autom Remote Control 76, 2021–2032 (2015). https://doi.org/10.1134/S0005117915110119
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DOI: https://doi.org/10.1134/S0005117915110119