Lifetime scaling law of ordinary clustering ultra-wideband sensor network

We study the scaling law of lifetime of ordinary clustering time-hopping impulse radio ultra-wideband (TH-IR UWB) sensor networks which n sensor nodes are distributed according to a Poisson point process. In this paper, we study the random network of a general node density λ λ∈[1,n], rather than only study either random dense network (λ=n) or random extended network (λ=1). The results demonstrate that, compared to the non-clustering TH-IR UWB sensor network, the bounds on the lifetime of ordinary clustering sensor network is far more than that of non-clustering network, thus clustering can evidently improve network lifetime. Furthermore, the bounds on the lifetime of ordinary clustering sensor network which the nodes are distributed according to a Poisson point process are different from that of complete clustering network which the nodes are placed according to uniform distribution, thus the behavior of nodes deploying and the type of clustering can markedly affect the lifetime bounds.