EXPERIMENTAL MEASUREMENT OF RELATIVE INSTABILITY OF FREQUENCY OF OSCILLATORS BY DIGITAL MULTIPLIER-CONVERTING METHOD
Abstract
The article is devoted to the problem of the discrepancy between the theoretical results of measuring the parameters of harmonic oscillation and software calculation. The simulation was performed using the LabVIEW software environment, using the digital multiplier-conversion method, the main stages of which are presented in the form of a developing chain: a) generation of harmonic oscillations and random processes b) interference filtering using bandpass filters tuned to the first harmonic c) parallel summation resulting processes, d) raising the results of summation to the sixth and seventh degree e) re-filtering a random process using band-pass filters Tuned to the sixth and seventh harmonic, e) multiplication applied to the selected higher harmonics, e) fil-tering for another combinational harmonic by a bandpass filter tuned to the first harmonic, f) the resulting signal is subjected to Hilbert transform. The Hilbert transform from an analytical signal gives a complex signal with a real and imaginary part, h) the resulting complex signal is converted into a polar or exponential form for subsequent phase extraction, and) obtaining frequency infor-mation by applying the derivative to the phase. Obtained, after applying the multiplication-conversion operations, the regularity of the frequency change is compared with the initial frequency and the parameters are determined: mathematical expectation and standard deviation. Based on the discrepancies obtained, a conclusion is drawn about frequency instability. As a re-sult of applying nonlinear transformations of oscillations of oscillators of identical instability and obtaining the same frequency oscillation using the same method, controlled frequency instability is formed. Applying this method many times to the oscillations of highly stable generators, it is pos-sible to form an oscillation with increased instability, and then measure it with conventional measuring instruments without resorting to high costs when performing this operation. Then cal-culate the initial instability using the above formulas.
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