English

Cube-Split: Structured Quantizers on the Grassmannian of Lines

Information Theory 2016-10-27 v1 math.IT

Abstract

This paper introduces a new quantization scheme for real and complex Grassmannian sources. The proposed approach relies on a structured codebook based on a geometric construction of a collection of bent grids defined from an initial mesh on the unit-norm sphere. The associated encoding and decoding algorithms have very low complexity (equivalent to a scalar quantizer), while their efficiency (in terms of the achieved distortion) is on par with the best known structured approaches, and compares well with the theoretical bounds. These properties make this codebook suitable for high-resolutions, real-time applications such as channel state feedback in massive multiple-input multiple-output (MIMO) wireless communication systems.

Keywords

Cite

@article{arxiv.1610.08257,
  title  = {Cube-Split: Structured Quantizers on the Grassmannian of Lines},
  author = {Alexis Decurninge and Maxime Guillaud},
  journal= {arXiv preprint arXiv:1610.08257},
  year   = {2016}
}

Comments

submitted to IEEE Wireless Communications and Networking Conference 2017

R2 v1 2026-06-22T16:32:16.267Z