Expected Density of Progress for Wireless Ad Hoc Networks with Nakagami-m Fading

In this paper, we study the expected density of progress for wireless ad hoc networks with Nakagami-m fading. The expected density of progress is defined as expectation of the product between the number of simultaneous successful transmission per unit area and the distance towards the destination. By considering three next hop receiver (RX) selection strategies, i.e., nearest RX selection strategy, random RX selection strategy and furthest RX selection strategy, we derive the closed-form expressions to the expected density of progress. Numerical results show that, when the terminal density is small, the expected density of progress with nearest RX selection strategy is nearly the same as that with furthest RX selection strategy, and the expected density of progress with random RX selection strategy is the lowest; when the terminal density is larger, the nearest RX selection strategy has the largest expected density of progress, and furthest RX selection strategy has the smallest expected density of progress.