Considering time hopping impulse radio ultra wide band (TH-IR UWB) sensor networks composed

n

sensor nodes which are placed according to a Poisson point process on a square and a Sink.The results demonstrate that the bounds on the lifetime of dense network increase with the increase of the number of nodes

n

and that of extended network decrease with the increase of the number of nodes

n

.The results also indicate the bounds on the lifetime of clustering sensor networks is far more than that of non-clustering network

thus clustering can evidently improve network lifetime.Furthermore

the bounds on the lifetime of clustering TH-IR UWB sensor network which the nodes are distributed according to a Poisson point process are different from that of clustering network which the nodes are placed according to uni

form distribution

thus the behavior of nodes deploying can remarkably affect the lifetime bound.