We synthesize the quasi-likelihood, maximum-likelihood, and quasioptimal algorithms for estimating the arrival time and duration of a radio signal with unknown amplitude and initial phase. The discrepancies between the hardware and software realizations of the estimation algorithm are shown. The characteristics of the synthesized-algorithm operation efficiency are obtained. Asymptotic expressions for the biases, variances, and the correlation coefficient of the arrival-time and duration estimates, which hold true for large signal-to-noise ratios, are derived. The accuracy losses of the estimates of the radio-signal arrival time and duration because of the a priori ignorance of the amplitude and initial phase are determined.
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A. P. Trifonov is deceased
Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 60, No. 11, pp. 1027–1038, November 2017.
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Trifonov, A.P., Korchagin, Y.E. & Korol’kov, S.V. Estimation of the Arrival Time and Duration of a Radio Signal with Unknown Amplitude and Initial Phase. Radiophys Quantum El 60, 920–930 (2018). https://doi.org/10.1007/s11141-018-9858-7
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DOI: https://doi.org/10.1007/s11141-018-9858-7