We develop the maximum likelihood algorithm for detecting an ultra-wideband quasi radio signal with an arbitrary shape and unknown amplitude, initial phase, and duration, which is observed against the background of additive Gaussian white noise. The structure and statistical characteristics of this algorithm are found. The influence of a priori ignorance of the duration of a quasi radio signal on its detection efficiency is studied. The operation efficiencies of the maximum-likelihood and quasioptimal detectors of the ultra-wideband quasi radio signal are compared. Using computer simulation, the efficiency of the synthesized algorithm is examined and the applicability ranges of the obtained asymptotic expressions for its characteristics are determined.
Similar content being viewed by others
References
P. S. Akimov, P. A. Bakut, V. A. Bogdanovich, et al., Signal Detection Theory [in Russian], Radio i Svyaz’, Moscow (1984).
V. I. Tikhonov, Optimal Signal Reception [in Russian], Radio i Svyaz’, Moscow (1983).
A. P. Trifonov, Yu. É. Korchagin, and M. V. Trifonov, Radiophys. Quantum Electron., 58, No. 5, 361 (2015).
V. G. Radzievsky and P. A. Trifonov, Processing of Ultra-Wideband Signals against a Background of Noise [in Russian], Radiotekhnika, Moscow (2009).
H. Arslan, Z. N. Chen, and M. G. Benedetto, Ultra Wideband Wireless Communication, Wiley, Hoboken, N. J. (2006).
F. Nekoogar and F. Dowla, Ultra-Wideband Radio Frequency Identification Systems, Springer, New York (2011).
A. P. Trifonov and P. E. Rudnev, Radiophys. Quantum Electron., 52, No. 9, 671 (2009).
H. L. Van Trees, Detection, Estimation, and Modulation Theory, Pt. 1, Wiley, New York (1968).
Yu. É. Korchagin, Radiotekhnika, No. 9, 11 (2013).
V. I. Tikhonov, Statistical Radioengineering [in Russian], Radio i Svyaz’, Moscow (1982).
V. I. Tikhonov and V. N. Kharisov, Statistical Analysis and Synthesis of Radioengineering Devices and Systems [in Russian], Radio i Svyaz’, Moscow (1991).
V. I. Tikhonov and M. A. Mironov, Markov Processes [in Russian], Radio i Svyaz’, Moscow (1977).
M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, Dover, New York (1965).
A. P. Trifonov, Yu. E. Korchagin, and K. D. Titov, in: 2017 IEEE Conf. on “Dynamics of Systems, Mechanisms and Machines,” Omsk, Russia, November 14–16, 2017, p. 17467664.
A. P. Trifonov, Yu. É. Korchagin, and K. D. Titov, Radiotekhnika, No. 6, 99 (2016).
Author information
Authors and Affiliations
Corresponding author
Additional information
Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 61, No. 11, pp. 958–973, November 2018.
Rights and permissions
About this article
Cite this article
Korchagin, Y.É., Titov, K.D. Detection of an Ultra-Wideband Quasi Radio Signal with Unknown Duration Against the Background of White Noise. Radiophys Quantum El 61, 853–866 (2019). https://doi.org/10.1007/s11141-019-09942-5
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11141-019-09942-5