Transmission Capacity of Ad Hoc Networks with Spatial Diversity

Andrew M. Hunter; Jeffrey G. Andrews; Steven Weber

doi:10.1109/T-WC.2008.071047

paper

Transmission Capacity of Ad Hoc Networks with Spatial Diversity

arXiv:cs/0702044 · doi:10.1109/T-WC.2008.071047

Abstract

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 $α > 2$ in which nodes use: (1) static beamforming through $M$ sectorized antennas, for which the increase in transmission capacity is shown to be $Θ (M^{2})$ 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 $Θ (M^{\frac{2}{α}})$ ; (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.

16 pages, 10 figures, to appear in IEEE Transactions on Wireless Communications

Transmission Capacity of Ad Hoc Networks with Spatial Diversity

Abstract

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