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.

翻译：采用标量格点的编码方案应用于具有K个独立消息（每个接收器对应一个消息）的K接收器高斯向量广播信道。该方法将每个接收器信道分解为具有已知干扰的并行标量信道，并对每个标量信道应用带模区间、幅移键控（ASK）和概率成形的脏纸编码。通过选择截断高斯成形、大ASK字母表和大模区间，可达速率元组包含容量区域内的所有点。