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Determining the Number of Radio Signals with Unknown Phases


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DOI: https://doi.org/10.15866/irecap.v5i6.7528

Abstract


We have carried out the synthesis and analysis of the maximum likelihood and quasi-likelihood algorithms in order to determine the number of radio signals, introducing and calculating the abridged probability of error in the assessment of the number of signals as the quantitative characteristic for the performance evaluation of these algorithms. The achieved analytical results lead us to the comparison between the characteristics of maximum likelihood and quasi-likelihood algorithms in determining the number of signals. We also consider the possibility for the application of the quasi-likelihood algorithm for the determination of the number of radio signals with partially unknown initial phases.
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Keywords


Maximum Likelihood Estimation; Estimation of the Number of Signals; Error Probability; Signal with Unknown Phase; Quasi-Likelihood Estimation

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References


L.I. Volkov, M.S. Nemirovsky, Yu.S. Shinakov, Digital Radio Communication Systems [in Russian] (Eko-Trendz, Moscow, 2005).

A.G. Flaksman, Adaptive Signal Processing in Antenna Arrays with Allowance for the Rank of the Impulse-Response Matrix of a Multipath Channel, Radiophysics and Quantum Electronics, Volume 45, (Issue 12), December 2002, Pages 977–988.

V.B. Maneilis, Algorithms for Tracking and Demodulation of the Mobile Communication Signal in the Conditions of the Indiscriminating Multipath Propagation [in Russian], Radiotechnika, (Issue 4), April 2007, Pages 16–21.

D. Kundu, Estimating the number of signals in the presence of white noise, Journal of Statistical Planning and Inference, Volume 90, (Issue 1), January 2000, Pages 57–68.
http://dx.doi.org/10.1016/s0378-3758(00)00102-6

M. Wax, T. Kailath, Detection of signals by information theoretic criteria, IEEE Trans. Acoust. Speech Signal Process, Volume 33, (Issue 2), Feb 1985, Pages 387–392.
http://dx.doi.org/10.1109/tassp.1985.1164557

A.A. Loginov, O.A. Morozov, M.Yu. Semenova, V.R. Fidelman, Method for Estimating the Number of Radiation Sources in the Problem of the Amplitude Monopulse Direction Finding, Radiophysics and Quantum Electronics, Volume 56, (Issue 7), December 2013, Pages 456–463.
http://dx.doi.org/10.1007/s11141-013-9449-6

A.P. Trifonov, A.V. Kharin, Estimating the Number of Signals with Unknown Amplitudes [in Russian], Nelineinyi Mir, Volume 11, (Issue 12), December 2013, Pages 853–866.

A.P. Trifonov, A.V. Kharin, Estimation of the Number of Radio Signals with Unknown Amplitudes and Phases, Radiophysics and Quantum Electronics, Volume 58, (Issue 1), June 2015, Pages 57–70.
http://dx.doi.org/10.1007/s11141-015-9581-6

A.P. Trifonov, A.V. Kharin, Estimation of the number of orthogonal signals with unknown non-energy parameters, Radioelectronics and Communications Systems, Volume 58, (Issue 8), August 2015, Pages 362–370.
http://dx.doi.org/10.3103/s073527271508004x

V.I. Mudrov, V.L. Kushko, Measurement Processing Methods. Quasi-likelihood Estimates [in Russian] (Radio i Svyaz', Moscow, 1983).

E.I. Kulikov, A.P. Trifonov, Estimation of Signal Parameters against Hindrances [in Russian] (Sovetskoe Radio, Moscow, 1978).

M. Abramowitz, I.A. Stegun, Handbook of Mathematical Functions with Formulas, Graphs and Mathematical Tables, (National Bureau of Standards. Applied Mathematics Series 55, 1964).
http://dx.doi.org/10.1115/1.3625776


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