Abstract
Cognitive radio (CR) enriches wireless technology systems by harnessing spectrum white spaces. Such systems require continuous and reliable sensing to provide high-quality service to their users and to minimize the interference they may cause to legacy networks. As the simplicity of implementation of energy detectors and their incoherent requirements make them an ideal candidate for this type of application, this work provides a further mathematical analysis to the probability of detection over different fading channels. We derive a tight closed-form expression for the probability of detection over Nakagami channels. In addition, we introduce an accurate recursive algorithm to compute the probability of detection for an odd degree of freedom over additive white Gaussian noise channels, which has been overlooked in the literature so far. Finally, we present the simulation results which concur with the numerical results and which are also a perfect match with the mathematical expressions derived.
Highlights
The rapid increase of wireless systems and applications raises spectrum demand
Researchers often refer to this technology as cognitive radio (CR) systems
As spectrum sensing must detect a very low signal-to-noise ratio (SNR), which in turn requires a high degree of precision, the previously derived expressions mainly depend on the number of terms in the summation to get highly accurate results
Summary
The rapid increase of wireless systems and applications raises spectrum demand. not all bands of the spectrum are fully utilized at specific times or at specific geographic locations. We provide an algorithm to compute the detection probability in the case of odd degrees of freedom based on the suboptimal energy detector. As spectrum sensing must detect a very low signal-to-noise ratio (SNR), which in turn requires a high degree of precision, the previously derived expressions mainly depend on the number of terms in the summation to get highly accurate results. They are numerically difficult and depend on other functions while their implementation is susceptible to truncation errors.
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