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The Energy Driven Cluster-Head Rotation (EDCR) Algorithm proposed in [1] has been shown to out performed existing clustering algorithms such as LEACH [2], HEED [3], ANTCLUST based [4] and SEP [5] in terms of FND and PNA (95%) lifetime metrics in a distributed wireless sensor network (WSN). In this paper we present theoretical analysis of the performance parameters such as the optimum transmission range (R,pt) and the clustering trigger threshold value (Ai) of EDCR in terms correctness and complexity of the algorithm. Further we explain how to find the optimal values for such parameters in order to maximize the network lifetime.

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