Performance analysis of multi-hop with sleep/wakeup protocol on Wireless Sensor Networks

In this paper, we present the performance analysis of a digitized WSN by taking into account the switching procedure of the Phase-Locked Loop (PLL) from the sleep mode to the active mode. We model the digitized WSN as a discrete-time multiple vacation tandem multi-hop queueing network with a setup to capture the working principle of the sleep/wakeup protocol in IEEE 802.15.4. Correspondingly, for the performance measures, we present the formulas for the average latency of data frames and the total energy consumption of the system. Moreover, we present numerical results comparing with simulation results to discuss the relationship between the system performance and the number of multi-hops for different constellation sizes.