On the performance of ad hoc networks with beamforming antennas
MobiHoc '01 Proceedings of the 2nd ACM international symposium on Mobile ad hoc networking & computing
Directional virtual carrier sensing for directional antennas in mobile ad hoc networks
Proceedings of the 3rd ACM international symposium on Mobile ad hoc networking & computing
Radiowave Propagation and Smart Antennas for Wireless Communications
Radiowave Propagation and Smart Antennas for Wireless Communications
Smart Antennas for Wireless Communications: IS-95 and Third Generation CDMA Applications
Smart Antennas for Wireless Communications: IS-95 and Third Generation CDMA Applications
Wireless Communications: Principles and Practice
Wireless Communications: Principles and Practice
Using directional antennas for medium access control in ad hoc networks
Proceedings of the 8th annual international conference on Mobile computing and networking
Wireless sensor networks: a survey
Computer Networks: The International Journal of Computer and Telecommunications Networking
A MAC protocol for full exploitation of directional antennas in ad-hoc wireless networks
Proceedings of the 4th ACM international symposium on Mobile ad hoc networking & computing
On the capacity improvement of ad hoc wireless networks using directional antennas
Proceedings of the 4th ACM international symposium on Mobile ad hoc networking & computing
Deafness: A MAC Problem in Ad Hoc Networks when using Directional Antennas
ICNP '04 Proceedings of the 12th IEEE International Conference on Network Protocols
Avoiding Head of Line Blocking in Directional Antenna
LCN '04 Proceedings of the 29th Annual IEEE International Conference on Local Computer Networks
Wireless mesh networks: a survey
Computer Networks and ISDN Systems
Connectivity Probability of Wireless Ad Hoc Networks: Definition, Evaluation, Comparison
Wireless Personal Communications: An International Journal
The chromatic and clique numbers of random scaled sector graphs
Theoretical Computer Science - Graph colorings
Asymptotic Connectivity in Wireless Networks Using Directional Antennas
ICDCS '07 Proceedings of the 27th International Conference on Distributed Computing Systems
Reliable density estimates for coverage and connectivity in thin strips of finite length
Proceedings of the 13th annual ACM international conference on Mobile computing and networking
A directional MAC protocol for ad hoc networks
MILCOM'06 Proceedings of the 2006 IEEE conference on Military communications
OPODIS'04 Proceedings of the 8th international conference on Principles of Distributed Systems
Towards a better understanding of large-scale network models
IEEE/ACM Transactions on Networking (TON)
Analysis of capacity improvement by directional antennas in wireless sensor networks
ACM Transactions on Sensor Networks (TOSN)
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Connectivity is a crucial issue in wireless ad hoc networks (WANETs). Gupta and Kumar have shown that in WANETs using omnidirectional antennas, the critical transmission range to achieve asymptotic connectivity is O(√logn/n) if n nodes are uniformly and independently distributed in a disk of unit area. In this paper, we investigate the connectivity problem when directional antennas are used. We first assume that each node in the network randomly beamforms in one beam direction. We find that there also exists a critical transmission range for a WANET to achieve asymptotic connectivity, which corresponds to a critical transmission power (CTP). Since CTP is dependent on the directional antenna pattern, the number of beams, and the propagation environment, we then formulate a non-linear programming problem to minimize the CTP. We show that when directional antennas use the optimal antenna pattern, the CTP in a WANET using directional antennas at both transmitter and receiver is smaller than that when either transmitter or receiver uses directional antenna and is further smaller than that when only omnidirectional antennas are used. Moreover, we revisit the connectivity problem assuming that two neighboring nodes using directional antennas can be guaranteed to beamform to each other to carry out the transmission. A smaller critical transmission range than that in the previous case is found, which implies smaller CTP.