Transmission Capacity of Ad Hoc Networks with Spatial Diversity
<|reference_start|>Transmission Capacity of Ad Hoc Networks with Spatial Diversity: This paper derives the outage probability and transmission capacity of ad hoc wireless networks with nodes employing multiple antenna diversity techniques, for a general class of signal distributions. This analysis allows system performance to be quantified for fading or non-fading environments. The transmission capacity is given for interference-limited uniformly random networks on the entire plane with path loss exponent $\alpha>2$ in which nodes use: (1) static beamforming through $M$ sectorized antennas, for which the increase in transmission capacity is shown to be $\Theta(M^2)$ if the antennas are without sidelobes, but less in the event of a nonzero sidelobe level; (2) dynamic eigen-beamforming (maximal ratio transmission/combining), in which the increase is shown to be $\Theta(M^{\frac{2}{\alpha}})$; (3) various transmit antenna selection and receive antenna selection combining schemes, which give appreciable but rapidly diminishing gains; and (4) orthogonal space-time block coding, for which there is only a small gain due to channel hardening, equivalent to Nakagami-$m$ fading for increasing $m$. It is concluded that in ad hoc networks, static and dynamic beamforming perform best, selection combining performs well but with rapidly diminishing returns with added antennas, and that space-time block coding offers only marginal gains.<|reference_end|>
@article{hunter2007transmission,
    title={Transmission Capacity of Ad Hoc Networks with Spatial Diversity},
    author={Andrew M. Hunter, Jeffrey G. Andrews, Steven Weber},
    journal={arXiv preprint arXiv:cs/0702044},
    year={2007},
    doi={10.1109/T-WC.2008.071047},
    archivePrefix={arXiv},
    eprint={cs/0702044},
    primaryClass={cs.IT math.IT}
}