# Ergodic Capacity Under Power Adaption Over Fisher-Snedecor F Fading Channels

## TL;DR

This paper derives closed-form and asymptotic expressions for ergodic capacity in Fisher-Snedecor F fading channels under various power adaptation strategies, providing insights into their performance at high SNR.

## Contribution

It introduces new analytical formulas for ergodic capacity with different power adaptation methods over Fisher-Snedecor F fading channels, including high SNR asymptotics.

## Key findings

- Closed-form expressions for ergodic capacity under various power adaption methods.
- Asymptotic formulas for high SNR analysis.
- Numerical validation of the derived expressions.

## Abstract

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. In the numerical results section, we compare the performance of different adaptive power transmission strategies, and demonstrate the accuracy of our derived expressions.