Capacity of Ad Hoc wireless networks
Proceedings of the 7th annual international conference on Mobile computing and networking
Fault tolerant deployment and topology control in wireless networks
Proceedings of the 4th ACM international symposium on Mobile ad hoc networking & computing
The number of neighbors needed for connectivity of wireless networks
Wireless Networks
Proceedings of the 5th ACM international symposium on Mobile ad hoc networking and computing
On k-coverage in a mostly sleeping sensor network
Proceedings of the 10th annual international conference on Mobile computing and networking
Barrier coverage with wireless sensors
Proceedings of the 11th annual international conference on Mobile computing and networking
Critical node lifetimes in random networks via the Chen-Stein method
IEEE/ACM Transactions on Networking (TON) - Special issue on networking and information theory
The capacity of wireless networks
IEEE Transactions on Information Theory
Towards an information theory of large networks: an achievable rate region
IEEE Transactions on Information Theory
IEEE Journal on Selected Areas in Communications
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Practical or economic considerations may impose a finite limit on the number of nodes deployed in a wireless network. Results derived from asymptotic analysis are reportedly ill-suited for such cases. This motivates the analysis of finite wireless sensor networks. In this paper, we discuss the upper and lower bounds of the coverage probability of a randomly-deployed finite wireless network. Comparisons of the bounds with simulation and asymptotic results are presented. A discussion on the optimal deployment of sensors to achieve maximum coverage probability for a line network is also presented.