摘要

The upper bounds on lifetime of three dimensional extended Time hopping impulse radio Ultra-wide band (TH-IR UWB) sensor networks are derived using percolation theory arguments. The TH-IR UWB sensor network consists of n sensor nodes distributed in a cube of edge length n(1/3) according to a Poisson point process of unit intensity. It is shown that for such a static three dimensional extended TH-IR UWB sensor network, the upper bound on the lifetime is of order O(n(-1)), while in the ideal case, the upper bound on the lifetime is longer than that of a static network by a factor of n(2/3). Therefore sensor nodes moving randomly in the deployment area can improve the upper bound on network lifetime. The results also reveal that the upper bounds on network lifetime decrease with the number of nodes n, thus extended TH-IR UWB sensor networks aren't prone to be employed in large-scale network.

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