On the Effective Rate and Energy Detection Based Spectrum Sensing Over $\alpha -\eta -\kappa -\mu$ Fading Channels

In this paper, the effective rate (ER) of wireless communication systems and the performance of energy detection (ED) based spectrum sensing over α - η - κ - μ fading channels are analysed. To this end, novel mathematically tractable exact expressions of the ER, the average detection probability (ADP) and the average area under the receiver characteristics curve (AUC) are derived. The asymptotic expressions at high average signal-to-noise ratio (SNR) values are also provided. A comparison between the numerical results and Monte Carlo simulations is presented to verify the validation of our analysis. The mathematical relationship between the ER and the performance metrics of the ED which is based on the time-bandwidth product, is explained. The provided results show that the increase in the time-bandwidth product from 1 to 4 reduces the ER, the ADP, and the average AUC by nearly 21%, 8%, and 3%, respectively, for constant average SNR at 15 dB and delay exponent at 0.1.