Open Access Open Access  Restricted Access Subscription Access
Relationship of the error probability in determining the number of signals by using algorithm (5) as a function of SNR

Estimation of the number of orthogonal signals with unknown non-energy parameters

Andrey P. Trifonov, A. V. Kharin


The synthesis and analysis of an algorithm for estimation of the number of orthogonal signals with unknown non-energy parameters have been performed by using the maximum likelihood method.


maximum likelihood method; estimate of the signal number; truncated error probability; non-energy parameters

Full Text:



VOLKOV, L.I.; NEMIROVSKII, M.S.; SHINAKOV, Y.S. Digital Radio Communication Systems. Moscow: Eko-Trends, 2005 [in Russian].

FLAKSMAN, A.G. Adaptive signal processing in antenna arrays with allowance for the rank of the impulse-response matrix of a multipath channel. Radiophysics and Quantum Electronics, 2002, v.45, n.12, p.977-988, DOI:

MANELIS, V.B. Algorithms for tracking and demodulation of mobile communication signals under conditions of unresolved multipath propagation. Radiotekhnika, 2007, n.4, p.16-21.

EL-BEHERY, I.N.; MACPHIE, R.H. Maximum likelihood estimation of the number, directions and strengths of point radio sources from variable baseline interferometer data. IEEE Trans. Antennas Propag., Mar. 1978, v.26, n.2, p.294-301, DOI:

TRIFONOV, A.P.; SHINAKOV, Y.S. Joint Discrimination of Signals and Estimation of their Parameters against the Background of Interferences. Moscow: Radio i Svyaz’, 1984 [in Russian].

RATYNSKII, M.V. Adaptation and Superresolution in Antenna Arrays. Moscow: Radio i Svyaz’, 2003 [in Russian].

KUNDU, D. Estimating the number of signals in the presence of white noise. J. Statistical Planning Inference, 2000, v.90, n.1, p.57-68, DOI:

WAX, M.; KAILATH, T. Detection of signals by information theoretic criteria. IEEE Trans. Acoust., Speech, Signal Process., Apr. 1985, v.33, n.2, p.387-392, DOI:

LOGINOV, A.A.; MOROZOV, O.A.; SEMENOVA, M.Y.; FIDELMAN, V.R. Method for estimating the number of radiation sources in the problem of the amplitude monopulse direction finding. Radiophysics and Quantum Electronics, 2013, v.56, n.7, p.456-463, DOI:

TRIFONOV, A.P.; KHARIN, A.V. Estimation the number of signals with unknown amplitudes. Nelineinyi Mir, 2013, v.11, n.12, p.853-866.

KULIKOV, E.I.; TRIFONOV, A.P. Estimation of Signal Parameters against the Background of Interferences. Moscow: Sov. Radio, 1978 [in Russian].

AKIMOV, P.S.; BAKUT, P.A.; BOGDANOVICH, V.A.; ET AL. Theory of Signal Detection. Moscow: Radio i Svyaz’, 1984 [in Russian, ed. by P. A. Bakut].

ABRAMOWITZ, M.; STEGUN I.A. (eds.), Handbook of Mathematical Functions. Tenth Printing, 1972.

© Radioelectronics and Communications Systems, 2004–2020
When you copy an active link to the material is required
ISSN 1934-8061 (Online), ISSN 0735-2727 (Print)
tel./fax +38044 204-82-31, 204-90-41