Computer Science – Information Theory
Scientific paper
2007-01-16
Computer Science
Information Theory
Submitted to IEEE ISIT 2007
Scientific paper
A network of $n$ wireless communication links is considered. Fading is assumed to be the dominant factor affecting the strength of the channels between nodes. The objective is to analyze the achievable throughput of the network when power allocation is allowed. By proposing a decentralized on-off power allocation strategy, a lower bound on the achievable throughput is obtained for a general fading model. In particular, under Rayleigh fading conditions the achieved sum-rate is of order $\log n$, which is, by a constant factor, larger than what is obtained with a centralized scheme in the work of Gowaikar et al. Similar to most of previous works on large networks, the proposed scheme assigns a vanishingly small rate for each link. However, it is shown that by allowing the sum-rate to decrease by a factor $\alpha<1$, this scheme is capable of providing non-zero rate-per-links of order $\Theta(1)$. To obtain larger non-zero rate-per-links, the proposed scheme is modified to a centralized version. It turns out that for the same number of active links the centralized scheme achieves a much larger rate-per-link. Moreover, at large values of rate-per-link, it achieves a sum-rate close to $\log n$, i.e., the maximum achieved by the decentralized scheme.
Ebrahimi Masoud
Khandani Amir
Maddah-Ali Mohammad
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