Reconstruction of Multi-user Binary Subspace Chirps
Information Theory
2020-05-19 v1 math.IT
Abstract
We consider codebooks of Complex Grassmannian Lines consisting of Binary Subspace Chirps (BSSCs) in dimensions. BSSCs are generalizations of Binary Chirps (BCs), their entries are either fourth-roots of unity, or zero. BSSCs consist of a BC in a non-zero subspace, described by an on-off pattern. Exploring the underlying binary symplectic geometry, we provide a unified framework for BSSC reconstruction---both on-off pattern and BC identification are related to stabilizer states of the underlying Heisenberg-Weyl algebra. In a multi-user random access scenario we show feasibility of reliable reconstruction of multiple simultaneously transmitted BSSCs with low complexity.
Cite
@article{arxiv.2005.07900,
title = {Reconstruction of Multi-user Binary Subspace Chirps},
author = {Tefjol Pllaha and Olav Tirkkonen and Robert Calderbank},
journal= {arXiv preprint arXiv:2005.07900},
year = {2020}
}
Comments
To appear in IEEE ISIT 2020