Device-to-Device Aided Multicasting

TL;DR

This paper introduces a simple, efficient D2D-assisted multicast scheme that guarantees a logarithmic multicast rate growth with the number of receivers, demonstrating a phase transition phenomenon based on network topology.

Contribution

It proposes a novel D2D-assisted multicast scheme requiring only statistical channel knowledge and characterizes its asymptotic multicast rate and phase transition behavior.

Findings

Multicast rate scales as (1/2) log2(1 + β ln K) for large K.

The scheme exhibits a phase transition at a specific SNR threshold.

Outage rate analysis confirms the scheme's robustness in large networks.

Abstract

We consider a device-to-device (D2D) aided multicast channel, where a transmitter wishes to convey a common message to many receivers and these receivers cooperate with each other. We propose a simple computationally efficient scheme requiring only statistical channel knowledge at transmitter. Our analysis in general topologies reveals that, when the number of receivers $K$ grows to infinity, the proposed scheme guarantees a multicast rate of ${1 \over 2} \log_2(1 + \beta \ln K )$ with high probability for any $\beta < \beta^\star$ where $\beta^\star$ depends on the network topology. This scheme undergoes a phase transition at threshold $\beta^\star \ln K$ where transmissions are successful/unsuccessful with high probability when the SNR is above/below this threshold. We also analyze the outage rate of the proposed scheme in the same setting.