On GLRT-Based Detection of One-Sided Composite Signal in Unimodal Noise

DÜLEK B.

IEEE Transactions on Aerospace and Electronic Systems, vol.59, no.1, pp.695-700, 2023 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 59 Issue: 1
  • Publication Date: 2023
  • Doi Number: 10.1109/taes.2022.3188595
  • Journal Name: IEEE Transactions on Aerospace and Electronic Systems
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Applied Science & Technology Source, Business Source Elite, Business Source Premier, Communication Abstracts, Compendex, Computer & Applied Sciences, INSPEC, Metadex, Civil Engineering Abstracts
  • Page Numbers: pp.695-700
  • Keywords: Signal to noise ratio, Detectors, Jamming, Receivers, Gaussian noise, Error probability, Additives, Convexity, detection probability, generalized likelihood ratio test (GLRT), optimum time-sharing, unimodal noise
  • Hacettepe University Affiliated: Yes

Abstract

IEEEConvexity properties of detection probability is investigated in generalized likelihood ratio test-based detection of one-sided composite signal corrupted by additive unimodal noise. It is shown that the detection probability of the corresponding threshold detector is a concave function of normalized signal power at low and high SNR. For intermediate values of SNR, the behavior can be explicitly characterized based on the derivative of the logarithm of the channel noise density and the detector threshold. Optimal time-sharing strategies of average power-limited transmitters and jammers are established. Numerical examples are provided for Gaussian, Laplace, and Cauchy densities.