Device-to-Device Aided Multicasting
Thomas Varela Santana, Richard S. Combes, Mari Kobayashi · 2018
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$\frac{1}{2}\log_{2}(1+\beta\ln K)$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.