Exact Closed-Form Solution for Detection Probability in Cognitive Radio Networks With Switch-and-Examine Combining Diversity

Namdar M., İlhan H.

IEEE TRANSACTIONS ON VEHICULAR TECHNOLOGY, vol.67, pp.8215-8222, 2018 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 67
  • Publication Date: 2018
  • Doi Number: 10.1109/tvt.2018.2840227
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.8215-8222
  • Keywords: Amplify-and-forward relay networks, detection probability, differential evolution algorithm, Rayleigh fading channel, spectrum sensing, switch-and-examine combining diversity, DIFFERENTIAL EVOLUTION, RELAY NETWORKS, PERFORMANCE, ALGORITHMS, EGC
  • Yıldız Technical University Affiliated: Yes


In this study, we analyze spectrum sensing performance by investigating amplify-and-forward based cooperative relaying in underlay cognitive radio networks with switch-and-examine combining diversity technique in which the maximal ratio combining and energy detector schemes are employed at the destination. First, we derive closed-form expressions for both the probability density functions and the probability of detections (P-d) of the end-to-end signal-to-noise ratios at the output of the switch-and-examine combiner over Rayleigh fading channel. Then, the optimal detection threshold and switching threshold values with optimizing error rate (P-e) using the differential evolution algorithm are obtained. Finally, we present some numerical results through the receiver operating characteristics curves utilizing the newly derived closed-form expressions and we verify that the numerical curves precisely match with the simulation results, validating our proposed theoretical analysis.