Fundamentals of statistical signal processing: estimation theory
Fundamentals of statistical signal processing: estimation theory
Fundamentals of wireless communication
Fundamentals of wireless communication
Stochastic geometry and random graphs for the analysis and design of wireless networks
IEEE Journal on Selected Areas in Communications - Special issue on stochastic geometry and random graphs for the analysis and designof wireless networks
Spatial and temporal correlation of the interference in ALOHA ad hoc networks
IEEE Communications Letters
IEEE Transactions on Communications
Transmission capacity of ad hoc networks with spatial diversity
IEEE Transactions on Wireless Communications - Part 1
Bit-interleaved coded modulation
IEEE Transactions on Information Theory
An Aloha protocol for multihop mobile wireless networks
IEEE Transactions on Information Theory
The Effect of Fading, Channel Inversion, and Threshold Scheduling on Ad Hoc Networks
IEEE Transactions on Information Theory
Ad Hoc Networks: To Spread or Not to Spread? [Ad Hoc and Sensor Networks]
IEEE Communications Magazine
IEEE Journal on Selected Areas in Communications
Distance Distribution in Convex n-Gons: Mathematical Framework and Wireless Networking Applications
Wireless Personal Communications: An International Journal
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The goal of this paper is to explore the benefits of channel diversity in wireless ad hoc networks. Our model is that of a Poisson point process of transmitters, each with a receiver at a given distance. A packet is divided in blocks which are transmitted over different subbands determined by random frequency hopping. At the receiver, a maximum-likelihood decoder is employed to estimate the transmitted packet/codeword. We show that, if L is the Hamming distance of the error correction code and ε is a constraint on the packet error probability, the transmission capacity of the network is proportional to ε1/L, when ε → 0. The proportionality constant depends on the code selection, the packet length, the geometry of the symbol constellation and the number of receive antennas. This result implies that, at the cost of a moderate decoding complexity, large gains can be achieved by a simple interference randomization scheme during packet transmission. We also address practical issues such as channel estimation and power control. We find that reliable channel information can be obtained at the receiver without significant rate loss and demonstrate that channelinversion power control can increase the transmission capacity.