Canonical Conditions for K/2 Degrees of Freedom
Information Theory
2020-06-04 v1 math.IT
Abstract
We present a necessary and sufficient condition for degree of freedom for each user in constant -user single-antenna interference channels. This condition applies to all channel topologies, i.e., to fully-connected channels as well as channels that have individual links absent, reflected by corresponding zeros in the channel matrix. Moreover, it captures the essence of interference alignment by virtue of being expressed in terms of a generic injectivity condition that guarantees separability of signal and interference. Finally, we provide codebook constructions achieving degree of freedom for each user for all channel matrices satisfying our condition.
Keywords
Cite
@article{arxiv.2006.02310,
title = {Canonical Conditions for K/2 Degrees of Freedom},
author = {Recep Gül and David Stotz and Syed Ali Jafar and Helmut Bölcskei and Shlomo Shamai},
journal= {arXiv preprint arXiv:2006.02310},
year = {2020}
}