Unified approach for probability of detection evaluation over generalised fading channels

In this study, the authors revisit energy detection-based spectrum sensing cognitive radio systems operating over generalised fading channels. In particular, they derive closed-form exact expressions as well as low- and high-signal-to-noise ratio asymptotic expansions for the misdetection probability over the Fox's H-function fading channel. The closed-form expression is given in terms of the bivariate Fox's H-function and subsumes most of the expressions previously presented in the literature. Also, the obtained asymptotic expressions are very easy to compute and can be used to get various performance insights. We verified, theoretically and numerically, the validity of the exact expression for important special cases previously reported in the literature, namely the Nakagami-m and the extended generalised-K fading distributions. Numerical results also demonstrate the high accuracy of the asymptotic expansions.