The classical Schalkwijk-Kailath (SK) scheme for the additive Gaussian noise channel with noiseless feedback is highly efficient since its coding complexity is extremely low and the decoding error doubly exponentially decays as the coding blocklength tends to infinity. However, how to extend the SK scheme to channel models with memory has yet to be solved. In this paper, we first investigate how to design SK-type scheme for the 2-path quasi-static fading channel with noiseless feedback. By viewing the signal of the second path as a relay and adopting an amplify-and-forward (AF) relay strategy, we show that the interference path signal can help to enhance the transmission rate. Besides this, for arbitrary multi-path fading channel with feedback, we also present an SK-type scheme for such a model, which transforms the time domain channel into a frequency domain MIMO channel.

翻译：经典的Schalkwijk-Kailath (SK) 方案针对具有无噪声反馈的加性高斯噪声信道具有极高效率，其编码复杂度极低，且当编码块长度趋于无穷时，解码误差呈双指数衰减。然而，如何将SK方案推广到具有记忆性的信道模型仍有待解决。本文首先研究了如何为具有无噪声反馈的二路径准静态衰落信道设计SK型方案。通过将第二路径信号视为中继并采用放大转发 (AF) 中继策略，我们证明了干扰路径信号有助于提升传输速率。此外，针对具有反馈的任意多径衰落信道，我们也为此类模型提出了一种SK型方案，该方案将时域信道转换为频域MIMO信道。