Impact of training on the transmission capacity of wireless ad hoc networks

We investigate the impact of channel estimation (CE) on the performance of point-to-point transmission schemes in wireless ad hoc networks. We first derive a new closed-form expression for the outage probability when the minimum mean square error estimator is utilized for CE, and show that the training-pilot length should increase as a linear function of the network intensity to maintain a fixed CE quality. Next, we derive the optimal training-pilot length which maximizes the transmission capacity under interference-limited conditions, and show that this optimal length increases with the frame length according to a square-root law.