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arXiv 2301.02306cs.ITmath.IT
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一类离散状态的峰值约束脏纸信道的预编码

Precoding for a Class of Peak-Constrained Dirty Paper Channels with a Discrete State

Zhenyu Charlus Zhang, Anas Chaaban

摘要:

在峰值幅度约束下的脏纸信道(DPC)出现在光无线广播信道(BC)中,其中一个接收器处的状态是旨在用于其它接收器的发送信号。本文研究了一类适用于光无线BC的峰值约束DPC,其中信道状态(即“dirt”)从一些均匀间隔的网格中取值。对于本文所研究的离散状态DPC,从其无状态对应的DPC得到了一个容量上限。为了降低其容量,经典的脏纸编码方案,包括Costa的DPC和Tomlinson-Harashima(TH)预编码,这是作为基准计划。为了提高基准性能,提出了两种新的预编码方案的离散状态DPC。虽然所提出的计划没有实现无状态容量相反,是什么已知的Costa的DPC,可实现的速率在一个小的差距内的无状态容量的离散状态DPC的证明。在两用户峰值约束高斯BC中使用所提出的预编码方案,获得新的容量内界(IB),并且示出优于基于截断高斯(TG)的IB,并且与最知名的IB相当。

英文摘要:

The dirty paper channel (DPC) under a peak amplitude constraint arises in an optical wireless broadcast channel (BC), where the state at one receiver is the transmitted signal intended for the other receiver(s). This paper studies a class of peak-constrained DPC that is applicable to the optical wireless BC, where the channel state (i.e, `dirt') takes values from some evenly-spaced grid. For the discrete-state DPC studied this paper, a capacity upper bound is obtained from its state-free counterpart. To lower bound its capacity, classical dirty paper coding schemes are revisited, including Costa's coding for DPC and Tomlinson-Harashima (TH) precoding, which serves as benchmark schemes. To improve the benchmark performance, two new precoding schemes are proposed for the discrete-state DPC. Although the proposed schemes do not achieve the state-free capacity contrary to what is known about the Costa's DPC, achievable rates within a small gap to the state-free capacity are demonstrated for the discrete-state DPC. Using the proposed precoding scheme in a two-user peak-constrained Gaussian BC, a new capacity inner bound (IB) is obtained, and is shown to outperform the truncated Gaussian (TG) based IB and is comparable to the best-known IB.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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