Efficient evaluation of area under the ROC curve of energy detectors over fading channels

  • Authors:

  • Oluwatobi Olabiyi;Shumon Alam;Olusegun Odejide;Annamalai Annamalai

  • Affiliations:

  • Prairie View A&M University, Prairie View, TX, USA;Prairie View A&M University, Prairie View, TX, USA;Prairie View A&M University, Prairie View, TX, USA;Prairie View A&M University, Prairie View, TX, USA

  • Venue:
  • Proceedings of the 14th ACM international conference on Modeling, analysis and simulation of wireless and mobile systems
  • Year:
  • 2011

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Abstract

In this article, we derive closed-form expressions for the area under the receiver operating characteristics (ROC) curve (hereafter, referred to as AUC metric) of energy detectors with/without diversity receiver over a myriad of fading environments. Our "unified" expression for the AUC performance metric only requires the knowledge of the derivatives of the moment generating function (MGF) of fading signal-to-noise ratio (SNR) at the receiver output. Aside from developing a new analytical framework for evaluating the AUC of energy detectors, we show that our approach also facilitates the treatment of a more generalized/realistic propagation environment (i.e., not restricted to Rayleigh/Nakagami-m channels). Moreover, the AUC analysis enables comparisons between various overlapping ROC curves to be performed easily. Different factors affecting the spectrum sensing performance were also analyzed and our key results and findings are useful in the design of cognitive radio networks.