Achieving Gaussian Vector Broadcast Channel Capacity with Scalar Lattices
Muhammed Yusuf Şener, Gerhard Kramer, Technical University of Munich, Germany; Shlomo Shamai (Shitz), Technion—Israel Institute of Technology, Israel; Ronald Böhnke, Wen Xu, Munich Research Center, Huawei Technologies Duesseldorf GmbH, Germany
Session:
Broadcast Channels
Track:
7: Network Information Theory
Location:
Omikron I
Presentation Time:
Wed, 10 Jul, 10:30 - 10:50
Session Chair:
Hamdi Joudeh,
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.