Asymptotic error exponents in energy-detector and estimator-correlator signal detection

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  • dc.contributor.author Font-Segura, Josep
  • dc.contributor.author Vázquez, Gregori
  • dc.contributor.author Riba, Jaume
  • dc.date.accessioned 2024-01-30T07:24:31Z
  • dc.date.available 2024-01-30T07:24:31Z
  • dc.date.issued 2012
  • dc.description Comunicació presentada a 2012 IEEE International Conference on Communications (ICC 2012), celebrada del 10 al 15 de juny de 2012 a Ottawa, Canada.
  • dc.description.abstract The performance in signal detection is evaluated by the error (false-alarm and missed-detection) probabilities.However,calculating these probabilities is a difficult taskin practice. This paper studies the asymptotic behavior of the energy-detector and th eestimator-correlator by mean soft he 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.
  • dc.description.sponsorship This work has been partially funded by the Spanish Government under TEC2010-21245-C02-01 (DYNACS), CONSOLIDER INGENIO CSD200800010 (COMONSENS),CENIT CEN-20101019 (THOFU), and the Catalan Government (DURSI) under Grant 2009SGR1236 and Fellowship FI-2010.
  • dc.format.mimetype application/pdf
  • dc.identifier.citation Font-Segura J, Vazquez G, Riba J. Asymptotic error exponents in energy-detector and estimator-correlator signal detection. In: 2012 IEEE International Conference on Communications (ICC 2012); 2012 Jun 10-15; Ottawa, Canada. [Piscataway]: IEEE. p. 3676-80. DOI: 10.1109/ICC.2012.6364559
  • dc.identifier.doi http://dx.doi.org/10.1109/ICC.2012.6364559
  • dc.identifier.isbn 9781457720529
  • dc.identifier.issn 2694-2941
  • dc.identifier.uri http://hdl.handle.net/10230/58873
  • dc.language.iso eng
  • dc.publisher Institute of Electrical and Electronics Engineers (IEEE)
  • dc.relation.ispartof 2012 IEEE International Conference on Communications (ICC 2012); 2012 Jun 10-15; Ottawa, Canada. [Piscataway]: IEEE. p. 3676-80.
  • dc.relation.projectID info:eu-repo/grantAgreement/ES/3PN/TEC2010-21245-C02-01
  • dc.relation.projectID info:eu-repo/grantAgreement/ES/3PN/CSD2008-00010
  • dc.rights © 2012 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works. http://dx.doi.org/10.1109/ICC.2012.6364559
  • dc.rights.accessRights info:eu-repo/semantics/openAccess
  • dc.subject.keyword Stein’s lemma
  • dc.subject.keyword Kullback-Leibler divergence
  • dc.subject.keyword Likelihood ratio test
  • dc.subject.keyword Energy-detector
  • dc.subject.keyword Estimator-correlator
  • dc.subject.keyword Spectrum sensing
  • dc.subject.keyword Cognitive radio
  • dc.title Asymptotic error exponents in energy-detector and estimator-correlator signal detection
  • dc.type info:eu-repo/semantics/conferenceObject
  • dc.type.version info:eu-repo/semantics/acceptedVersion