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Coding for the discretely phase ambiguous additive white Gaussian channel

机译:离散相模加性白高斯信道的编码

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摘要

Communication over the additive white Gaussian channel, subject to a discrete phase ambiguity at the receiver, is considered. When this phase ambiguity is considered as a discretely distributed random variable, the channel is termed the acoherent additive white Gaussian (AAWG) channel. It is shown that the optimum decoder for the AAWG channel is not practically implementable and a suboptimum decoder that is asymptotically optimum at high signal-to-noise ratio is developed. The low signal-to-noise ratio performance of the suboptimum decoder is also examined. By considering the structural possibilities for this decoder, it is shown that one implementation leads to rotationally invariant codes. Other implementations, based on a rotationally disjoint property, lead to a variety of solutions that offer a general framework for communication over this channel. Some of these solutions use a parallel receiver configuration. Various solutions are compared in terms of implementation and performance.
机译:考虑在加性白高斯信道上的通信,该噪声在接收机处受到离散的相位模糊性的影响。当将此相位模糊度视为离散分布的随机变量时,该通道称为相干加性高斯白(AAWG)通道。结果表明,AAWG信道的最佳解码器实际上无法实现,并且开发了在高信噪比下渐近最佳的次最佳解码器。还研究了次优解码器的低信噪比性能。通过考虑该解码器的结构可能性,表明一种实现方式导致旋转不变代码。基于旋转不相交属性的其他实现方式导致了各种解决方案,这些解决方案提供了通过此通道进行通信的通用框架。其中一些解决方案使用并行接收器配置。比较各种解决方案的实现和性能。

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