Ergodic Capacity Under Power Adaption Over Fisher–Snedecor ${\mathcal{F}}$ Fading Channels

In this letter, we consider a communication scenario, where the transmitter adopts different power adaption methods according to the instantaneous channel state to enhance the ergodic capacity (EC) over Fisher-Snedecor F fading channels. We derive closed-form expressions for the EC under different power adaption methods, as well as the corresponding asymptotic EC formulas to get some insights in the high signal-to-noise ratio region. The numerical results show the comparison of the performance of different adaptive power transmission strategies and demonstrate the accuracy of our derived expressions.