We investigate a nonlinear parametric method of estimating the instantaneous frequency and amplitude of a quasi-harmonic signal. We obtain analytical expressions for variance estimates and their displacement, confirmed by numerical simulations. Experimental verification of the method on a real signal confirmed the ability to determine its frequency with a relative error less than 10–5 in a time interval of about 30 periods of the test signal.
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The experimental part of the study was supported by the Russian Scientific Foundation (Grant No. 15-19-00028), the theoretical part was supported by the Russian Foundation for Basic Research (Grant No. 15-47-02297).
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Translated from Izmeritel’naya Tekhnika, No. 5, pp. 60–65, May, 2016.
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Nikitin, A.V., Nikitin, A.O. & Orlov, A.A. Investigation of an Operational Method for Measuring Frequency and Amplitude of Signals with Slowly Varying Parameters. Meas Tech 59, 537–546 (2016). https://doi.org/10.1007/s11018-016-1004-3
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DOI: https://doi.org/10.1007/s11018-016-1004-3