On deriving the upper bound of α-lifetime for large sensor networks
Proceedings of the 5th ACM international symposium on Mobile ad hoc networking and computing
Maximum lifetime routing in wireless sensor networks
IEEE/ACM Transactions on Networking (TON)
Impact of interferences on connectivity in ad hoc networks
IEEE/ACM Transactions on Networking (TON)
Upper bound on operational lifetime of ultra wide band sensor network
WASA'06 Proceedings of the First international conference on Wireless Algorithms, Systems, and Applications
Closing the Gap in the Capacity of Wireless Networks Via Percolation Theory
IEEE Transactions on Information Theory
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The asymptotic lower bounds on the lifetime of time hopping impulse radio ultra wide band (TH-IR UWB) wireless sensor networks are derived using percolation theory arguments. It is shown that for static dense TH-IR UWB wireless sensor network, which sensor nodes are distributed in a square of unit area according to a Poisson point process of intensity n, the lower bound on the lifetime is $$ \Upomega \left( {\left( {{{\sqrt n } \mathord{\left/ {\vphantom {{\sqrt n } {\log \sqrt n }}} \right. \kern-\nulldelimiterspace} {\log \sqrt n }}} \right)^{\alpha - 2} } \right) $$ , where 驴 2 is the path loss exponent, thus dense TH-IR UWB wireless sensor network is fit to be employed in large-scale network. For static extended TH-IR UWB wireless sensor network which sensor nodes are distributed in a square $$ \left[ {0,\sqrt n } \right] \times \left[ {0,\sqrt n } \right] $$ according to a Poisson point process of unit intensity, the lower bound on the lifetime is $$ \Upomega \left( {{{\left( {\log \sqrt n } \right)^{2 - \alpha } } \mathord{\left/ {\vphantom {{\left( {\log \sqrt n } \right)^{2 - \alpha } } n}} \right. \kern-\nulldelimiterspace} n}} \right) $$ , therefore large-scale extended network will lead to shorten network lifetime. The results also indicate that the lower bound on the lifetime in the ideal case is longer than that of a static network by a factor of $$ n^{1/2} \left( {\log \sqrt n } \right)^{\alpha - 4} $$ . Hence mobility of sensor nodes can improve network lifetime.