Interactive Schemes for the AWGN Channel with Noisy Feedback
Interactive Schemes for the AWGN Channel with Noisy Feedback
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DOI：
10.1109/tit.2017.2648821
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发表时间：
2017-04-01
影响因子：
2.5
通讯作者：
Shayevitz, Ofer
中科院分区：
文献类型：
--
作者：
Ben-Yishai, Assaf;Shayevitz, Ofer
研究了加性高斯白噪声(AWGN)反馈信道上的通信问题。当反馈信道无噪声时，经典的Schalkwijk-Kailath(S-K)方案以简单的顺序方式获得容量，同时获得优于非反馈方案的可靠性。在本文中，我们展示了在反馈信道足够好于前馈信道的情况下，即使在反馈有噪声的情况下，如何获得简单性和可靠性。具体地说，我们引入了一种低复杂度、低延迟的交互方案，该方案在固定误码率(例如，10(-6))的情况下接近容量。然后，我们在这个方案的基础上提供了两个渐近结构，一个基于高维格，另一个基于级联编码，允许误差指数显著超过最佳可能的非反馈指数。我们的方法基于将反馈传输解释为边信息问题，并采用交互式模格解。
We study the problem of communication over an additive white Gaussian noise (AWGN) channel with an AWGN feedback channel. When the feedback channel is noiseless, the classic Schalkwijk-Kailath (S-K) scheme is known to achieve capacity in a simple sequential fashion, while attaining reliability superior to non-feedback schemes. In this paper, we show how simplicity and reliability can be attained even when the feedback is noisy, provided that the feedback channel is sufficiently better than the feedforward channel. Specifically, we introduce a low-complexity low-delay interactive scheme that operates close to capacity for a fixed bit error probability (e.g., 10(-6)). We then build on this scheme to provide two asymptotic constructions, one based on high dimensional lattices, and the other based on concatenated coding, that admit an error exponent significantly exceeding the best possible non-feedback exponent. Our approach is based on the interpretation of feedback transmission as a side-information problem, and employs an interactive modulo-lattice solution.