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Title:
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Asymptotic error exponents in energy-detector and estimator-correlator signal detection
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Author:
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Font Segura, Josep; Vázquez Grau, Gregorio; Riba Sagarra, Jaume
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Other authors:
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Universitat Politècnica de Catalunya. Departament de Teoria del Senyal i Comunicacions; Universitat Politècnica de Catalunya. SPCOM - Grup de Recerca de Processament del Senyal i Comunicacions |
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Abstract:
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The performance in signal detection is evaluated by the error (false-alarm and missed-detection) probabilities. However, calculating these probabilities is a difficult task in practice. This paper studies the asymptotic behavior of the energy-detector and the estimator-correlator by means of the Stein's lemma. The Stein's lemma is an information-theory result that provides the best achievable error exponent in the error probabilities when the number of observations goes to infinity. The derived closed-form expressions explain how detection performance is driven by the detector parameters and the second-order statistics of the problem. More specifically, it is shown that the error exponents depend on the signal-to-noise ratio (SNR) and the observation size. The prime focus is to establish a link between the required observation size for a fixed error probability as a function of the SNR. Numerical results show the tightness of the lemma. |
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Abstract:
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Peer Reviewed |
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Subject(s):
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-Àrees temàtiques de la UPC::Enginyeria de la telecomunicació::Processament del senyal
-Signal theory (Telecommunication)
-Signal processing
-Senyal, Teoria del (Telecomunicació)
-Tractament del senyal |
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Rights:
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Document type:
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Article - Published version
Conference Object |
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Published by:
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IEEE Computational Intelligence Society
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