English

The Wideband Slope of Interference Channels: The Small Bandwidth Case

Information Theory 2012-07-19 v1 math.IT

Abstract

This paper studies the low-SNR regime performance of a scalar complex K -user interference channel with Gaussian noise. The finite bandwidth case is considered, where the low-SNR regime is approached by letting the input power go to zero while bandwidth is small and fixed. We show that for all \delta>0 there exists a set with non-zero measure (probability) in which the wideband slope per user satisfies Slope<2/K+\delta . This is quite contrary to the large bandwidth case [ShenAHM11IT], where a slope of 1 per user is achievable with probability 1. We also develop an interference alignment scheme for the finite bandwidth case that shows some gain.

Keywords

Cite

@article{arxiv.1207.4252,
  title  = {The Wideband Slope of Interference Channels: The Small Bandwidth Case},
  author = {Minqi Shen and Anders Høst-Madsen},
  journal= {arXiv preprint arXiv:1207.4252},
  year   = {2012}
}

Comments

submitted to Information Theory, IEEE Transactions on