Quasi-Concavity for Gaussian Multicast Relay Channels
Abstract
Standard upper and lower bounds on the capacity of relay channels are cut-set (CS), decode-forward (DF), and quantize-forward (QF) rates. For real additive white Gaussian noise (AWGN) multicast relay channels with one source node and one relay node, these bounds are shown to be quasi-concave in the receiver signal-to-noise ratios and the squared source-relay correlation coefficient. Furthermore, the CS rates are shown to be quasi-concave in the relay position for a fixed correlation coefficient, and the DF rates are shown to be quasi-concave in the relay position. The latter property characterizes the optimal relay position when using DF.
Cite
@article{arxiv.1506.02703,
title = {Quasi-Concavity for Gaussian Multicast Relay Channels},
author = {Mohit Thakur and Gerhard Kramer},
journal= {arXiv preprint arXiv:1506.02703},
year = {2019}
}
Comments
Shortened version of a document that appeared as an open access paper at https://www.mdpi.com/1099-4300/21/2/109