Wireless ad-hoc networks: Strategies and Scaling laws for the fixed SNR regime
<|reference_start|>Wireless ad-hoc networks: Strategies and Scaling laws for the fixed SNR regime: This paper deals with throughput scaling laws for random ad-hoc wireless networks in a rich scattering environment. We develop schemes to optimize the ratio, $\rho(n)$ of achievable network sum capacity to the sum of the point-to-point capacities of source-destinations pairs operating in isolation. For fixed SNR networks, i.e., where the worst case SNR over the source-destination pairs is fixed independent of $n$, we show that collaborative strategies yield a scaling law of $\rho(n) = {\cal O}(\frac{1}{n^{1/3}})$ in contrast to multi-hop strategies which yield a scaling law of $\rho(n) = {\cal O}(\frac{1}{\sqrt{n}})$. While, networks where worst case SNR goes to zero, do not preclude the possibility of collaboration, multi-hop strategies achieve optimal throughput. The plausible reason is that the gains due to collaboration cannot offset the effect of vanishing receive SNR. This suggests that for fixed SNR networks, a network designer should look for network protocols that exploit collaboration. The fact that most current networks operate in a fixed SNR interference limited environment provides further motivation for considering this regime.<|reference_end|>
@article{aeron2006wireless,
    title={Wireless ad-hoc networks: Strategies and Scaling laws for the fixed SNR
  regime},
    author={Shuchin Aeron and Venkatesh Saligrama},
    journal={IEEE Transactions on Information Theory, Volume 53, No. 6, June
  2007, pp. 2044-2059},
    year={2006},
    doi={10.1109/TIT.2007.896858},
    archivePrefix={arXiv},
    eprint={cs/0608089},
    primaryClass={cs.IT math.IT}
}