We develop the maximum-likelihood algorithm for detecting a radio signal with an arbitrary envelope shape, which is observed against the background of additive Gaussian white noise. The signal duration, amplitude, and initial phase are unknown. The developed algorithm is analyzed on the assumption of sufficiently large signal-to-noise ratios. Asymptotic expressions for the detection-error probabilities are obtained. The developed-algorithm efficiency is checked by computer simulation and the applicability range of the obtained asymptotic expressions for the algorithm characteristics is determined.
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 58, No. 5, pp. 401–414, May 2015.
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Trifonov, A.P., Korchagin, Y.É. & Trifonov, M.V. Detection of Radio Signals with Unknown Duration, Amplitude, and Initial Phase. Radiophys Quantum El 58, 361–372 (2015). https://doi.org/10.1007/s11141-015-9610-5
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DOI: https://doi.org/10.1007/s11141-015-9610-5