Performance statistics of broadcasting networks with receiver diversity and Fountain codes

The performance of broadcasting networks employing Fountain codes with receiver diversity techniques is investigated in the present work. Particularly, we derive the closed-form expressions of the cumulative distribution function (CDF), the probability mass function (PMF), and the raw moments of the number of the needed time slots to deliver a common message to all users under two diversity schemes, namely, maximal ratio combining (MRC) and selection combining (SC). Numerical results are supplied to verify the accuracy of the considered networks and highlight the behaviours of these metrics as a function of some vital parameters such as the number of receivers, and the number of received antennae. Additionally, we also confirm the advantages of the MRC scheme compared with the SC scheme in the broadcasting networks.

Automated summary

This paper investigates the performance of broadcasting networks using Fountain codes with receiver diversity techniques. The closed-form expressions of the cumulative distribution function (CDF), the probability mass function (PMF), and the raw moments of the required time slots are derived under two diversity schemes. Numerical results are provided to verify the accuracy of the networks and highlight the behaviors of these metrics with respect to key parameters. Furthermore, the advantages of the maximal ratio combining (MRC) scheme over the selection combining (SC) scheme in broadcasting networks are confirmed.