Transmission Probability Design for Random-Access-Based Wireless Peer Discovery

This letter investigates the optimization of the transmission probability (TP) for wireless peer discovery operations based on a simple random access. This TP is a key parameter that determines whether peers transmit or receive in half-duplex operation; that is, it affects both the amount of interference and the number of information sinks. Accordingly, this letter analytically describes the properties of the optimal TP in terms of maximizing the average number of successfully discovered peers and then designs a suboptimal TP that preserves these properties under wireless environments with arbitrary path-loss exponent and noise power values.