English

Necessary Conditions for K/2 Degrees of Freedom

Information Theory 2018-05-09 v1 math.IT

Abstract

Stotz et al., 2016, reported a sufficient (injectivity) condition for each user in a K-user single-antenna constant interference channel to achieve 1/2 degree of freedom. The present paper proves that this condition is necessary as well and hence provides an equivalence characterization of interference channel matrices allowing full degrees of freedom.

Keywords

Cite

@article{arxiv.1805.03100,
  title  = {Necessary Conditions for K/2 Degrees of Freedom},
  author = {Recep Gül and Helmut Bölcskei and Shlomo Shamai},
  journal= {arXiv preprint arXiv:1805.03100},
  year   = {2018}
}