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arXiv · 2402.04942

Achieving Gaussian Vector Broadcast Channel Capacity with Scalar Lattices

M. Yusuf Şener·Gerhard Kramer·Shlomo Shamai·Ronald Böhnke·Wen Xu
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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.

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M. Yusuf Şener, Gerhard Kramer, Shlomo Shamai, Ronald Böhnke, Wen Xu. 2024-02-07. Achieving Gaussian Vector Broadcast Channel Capacity with Scalar Lattices. https://arxiv.org/abs/2402.04942

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