Nikitin A.V., Perchenko S.V. Digital Adaptive System for Frequency and Amplitude Measurement

https://doi.org/10.15688/mpcm.jvolsu.2025.3.2

Andrey V. Nikitin
Candidate of Sciences (Physics and Mathematics), Associate Professor, Department of Radiophysics, Volgograd State University
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https://orcid.org/0000-0003-2968-9211
Prosp. Universitetsky, 100, 400062 Volgograd, Russian Federation

Sergey V. Perchenko
Candidate of Sciences (Physics and Mathematics), Associate Professor, Department of Radiophysics, Volgograd State University
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https://orcid.org/0000-0003-4643-3015
Prosp. Universitetsky, 100, 400062 Volgograd, Russian Federation

Abstract. A method for dynamic measurement of frequency and amplitude of quasi-harmonic signals with slowly varying parameters is proposed. Parameter estimates are obtained in the approximation of the limited spectrum of the signal. Expressions describing systematic and random errors of the developed method in the presence of additive noise with a given variance are presented. On the basis of these expressions, the optimal conditions of the method operation are determined and an algorithm is developed that allows updating the frequency and amplitude estimates at each sampling interval. The algorithm is implemented as a two-channel adaptive digital system, which does not require a large number of operations and can be implemented as a real-time system based on modern signal processors and microcontrollers. The results of numerical modeling of the process of frequency and amplitude measurement using the proposed system are presented. It was found that even in the presence of tone amplitude modulation, additive noise, and slow twofold frequency change, the relative errors of frequency and amplitude estimates are 9.2 · 10−4 and 3.6 · 10−3 , respectively. The data obtained show that the adaptive system gives better results than the system without adaptation if at least an approximate frequency value is not known in advance.

Key words: adaptive system, frequency measurement, amplitude measurement, decimation factor, real time system.

Creative Commons License
Digital Adaptive System for Frequency and Amplitude Measurement by Nikitin A.V., Perchenko S.V. is licensed under a Creative Commons Attribution 4.0 International License.

Citation in EnglishMathematical Physics and Computer Simulation. Vol. 28 No. 3 2025, pp. 16-23

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