Conclusions
For an equiprobable distribution of the position of the beginning of interval Ti on the time axis, Δm manifests itself as an uncorrelated random error.
If the pulse duration is negligible in comparison with the time interval between adjacent pulses, the ME of the error Δm is equal to zero for AFC's with uniform or nonuniform pulse sequences.
The RMSD of the error Δm varies with Ti, assuming a number of extremum values σ[Δm]max. For the same values of Ti andf, σ[Δmn]max exceeds σ[Δmu]max by a factor of not more than 2. If the maximum allowable values of the RMSD of the methodic error Δm are assigned on the basis of experimental conditions, the minimum allowable measurement time of the secondary instrument which receives the AFC signal can be found by means of (7) and (11).
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Literature Cited
V. P. Kuznetsov, in: Problems of Data Conversion [in Russian], Vol. 6, Izd. TRTI, Taganrog (1972).
Yu. F. Shcherbakov, Izv. Vuzov SSSR, Ser. Priborostroenie, No. 4 (1966).
N. V. Smirnov and I. V. Dunin-Barkovskii, Course in Probability Theory and Statistical Mathematics for Technological Applications [in Russian], Nauka, Moscow (1965).
Additional information
Translated from Izmeritel'naya Tekhnika, No. 12, pp. 53–55, December, 1972.
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Kuznetsov, V.P. Methodic error of conversion of analog signals into frequency-modulated pulse signals. Meas Tech 15, 1830–1833 (1972). https://doi.org/10.1007/BF02266669
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DOI: https://doi.org/10.1007/BF02266669