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Determining the Number of Radio Signals with Unknown Phases

Andrey Pavlovich Trifonov(1), Alexander Vladimirovich Kharin(2), Oleg Vyacheslavovich Chernoyarov(3*), Konstantin Sergeevich Kalashnikov(4)

(1) Voronezh State University, Russian Federation
(2) Voronezh State University, Russian Federation
(3) National Research University "Moscow Power Engineering Institute", Russian Federation
(4) Voronezh State University, Russian Federation
(*) Corresponding author


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


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