Transmission capacity of ad hoc networks with spatial diversity

• Published in: IEEE transactions on wireless communications 2008-12, Vol.7 (12), p.5058-5071
• Main Authors: Hunter, A.M., Andrews, J., Weber, S.
• Format: Article
• Language: English
• Subjects: Ad hoc networks; Antennas; Applied sciences; Array signal processing; Beamforming; Block codes; Blocking; Capacity planning; Coding; Coding, codes; Detection, estimation, filtering, equalization, prediction; Diversity reception; Dynamics; Exact sciences and technology; Fading; Gain; geometry; Information, signal and communications theory; multiple antennas; Networks; outage capacity; Performance analysis; Radiocommunications; Receiving antennas; Sidelobes; Signal and communications theory; Signal, noise; stochastic; Studies; Systems, networks and services of telecommunications; Telecommunications; Telecommunications and information theory; Transmission and modulation (techniques and equipments); Transmitting antennas; Wireless networks
• ISSN: 1536-1276; 1558-2248
• DOI: 10.1109/T-WC.2008.071047

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 thetas(M 2 ) if the antennas are without sidelobes, but less in the event of a nonzero sidelobe level; (2) dynamic eigenbeamforming (maximal ratio transmission/combining), in which the increase is shown to be thetas(M 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.