Achieving Gaussian Vector Broadcast Channel Capacity with Scalar Lattices
Information Theory
2024-04-25 v2 math.IT
Abstract
A coding scheme with scalar lattices is applied to K-receiver, Gaussian, vector broadcast channels with K independent messages, one for each receiver. The method decomposes each receiver channel into parallel scalar channels with known interference and applies dirty paper coding with a modulo interval, amplitude shift keying (ASK), and probabilistic shaping to each scalar channel. The achievable rate tuples include all points inside the capacity region by choosing truncated Gaussian shaping, large ASK alphabets, and large modulo intervals.
Keywords
Cite
@article{arxiv.2402.04942,
title = {Achieving Gaussian Vector Broadcast Channel Capacity with Scalar Lattices},
author = {M. Yusuf Şener and Gerhard Kramer and Shlomo Shamai and Ronald Böhnke and Wen Xu},
journal= {arXiv preprint arXiv:2402.04942},
year = {2024}
}