In this work we find a lower bound on the energy required for synchronizing a Wireless Sensor Network (WSN) based on clock estimation techniques. The energy required for synchronizing a WSN is specified by both the transmit power and the required number of messages in order to achieve a desired estimation error level. This paper brings two main contributions: 1. A general relationship between the energy spent in the transmission and the clock offset estimation error by means of the number of transmitted messages, for both large-scale and small-scale wireless channel fading. 2. An optimal lower bound on the required energy and the number of messages by minimizing their product.
Abstract-In this paper we propose a lower bound on the energy required for synchronizing nodes in a Wireless Sensor Network (WSN) by using statistical estimation techniques. The energy required to synchronize a pair of nodes within a network with predefined synchronization accuracy is modelled as function of the transceivers power and the number of transmitted messages. In our analysis, we have considered the dynamic nature of nodes communicating within a correlated Rayleigh fading channel. A unified mathematical model has been defined to analyze the impact of nodes' relative velocity on the pairwise energy and synchronization accuracy trade-off.
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