Energy-delay analysis of wireless networks over Rayleigh fading channel

In this work, we propose a state diagram to represent the operation of wireless networks protocol. The analysis on the corresponding state diagram provides the joint distribution of the energy and delay of a successful data packet transmission in a wireless network system. Our analysis takes into account the effect of the channel noise on the transmission of the RTS, CTS, Data, and ACK packets. Furthermore, channel coding is incorporated in the analysis by estimating the packet error probability using error-exponent-based bounds under memoryless fading channel. Using these analysis tools, the code rate and the signal-to-noise ratio per dimension are optimized to achieve the minimum average delay.