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On the Delay-Throughput Tradeoff in Multi-User Wireless Networks

2007

Abstract

An asymptotic analysis for the delay-throughput of a single-hop wireless network with K links, operating in bandwidth W , is considered. The links are assumed to be partitioned into M clusters, each operating in a subchannel with bandwidth W M. The analysis relies basically on the distributed on-off power allocation strategy proposed in [1] and [2]. Our analysis consists of two parts. The first part deals with the throughput of the network in terms of M and under the shadowing effect with probability α. Assuming the Rayleigh fading channel model, it is proved that the maximum achievable throughput of the network for every value of 1 ≤ M ≤ K and 0 ≤ α ≤ 1 is obtained at M = 1. In the second part, we present the delay characteristics of the underlying network. It is proved that for M ∼ o(K) and 0 < α ≤ 1, where α is fixed, the delay threshold that makes the dropping probability of the link tend to zero, while achieving the maximum throughput, scales as ω(n log 2 n), where n = K M. We also present the similar arguments for the minimum delays in each cluster and the whole network. An asymptotic analysis shows that the delay improves without any significant impact on the the throughput.