Analytic Solutions to a Marcum Q−Function-Based Integral and Application in Energy Detection of Unknown Signals over Multipath Fading Channels

Paschalis Sofotasios, Mikko Valkama, Theodoros Tsifitsis, Yury Brychkov, Steven Freear, George Karagiannidis
2014 Proceedings of the 9th International Conference on Cognitive Radio Oriented Wireless Networks  
This work presents analytic solutions for a useful integral in wireless communications, which involves the Marcum Q−function in combination with an exponential function and arbitrary power terms. The derived expressions have a rather simple algebraic representation which renders them convenient both analytically and computationally. Furthermore, they can be useful in wireless communications and particularly in the context of cognitive radio communications and radar systems, where this integral
more » ... s often encountered. To this end, we derive novel expressions for the probability of detection in energy detection based spectrum sensing over η−μ fading channels. These expressions are given in closed-form and are subsequently employed in analyzing the effects of generalised multipath fading conditions in cognitive radio systems. As expected, it is shown that the detector is highly dependent upon the severity of fading conditions as even slight variation of the fading parameters affect the corresponding performance significantly.
doi:10.4108/icst.crowncom.2014.255383 dblp:conf/crowncom/SofotasiosVTBFK14 fatcat:twftfyo27bdoxgufjhmn2qte4m