Interference-Limited versus Noise-Limited Communication Over Dense Wireless Networks

Masoud Ebrahimi, Mohammad Ali Maddah-Ali, Amir Keyvan Khandani · 2007

A network of𝓃wireless communication links is considered. Rayleigh fading is assumed to be the dominant factor affecting the strength of the channels between nodes. In previous works it is shown that the maximum throughput of this network over all link activation strategies scales aslog 𝓃. However, it is achieved by assigning a vanishingly small rate to each active link. The objective of this paper is to analyze the achievable throughput of the network when the data rate of each active link is constrained to be a constantλ > 0. A link activation strategy is proposed and analyzed using random graph theory. In the interference-limited regime, a throughput scaling asτ log 𝓃is achievable, where the scaling factor τ approaches 1 asλ → 0or λ → ∞. This implies the asymptotic optimality of the proposed scheme. In the noise-limited regime, it is shown that rate-per-links scaling aslog(Δ0ρ)are achievable, whereΔ0is a constant andρis the transmit signal to noise ratio. However, in this case the throughput decreases by a factor oflog log 𝓃as compared to the interference-limited regime.

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