双抽头输入擦除高斯信道及其在蜂窝通信中的应用
The Two-Tap Input-Erasure Gaussian Channel and its Application to Cellular Communications
摘要：
本文考虑输入擦除高斯信道。与将擦除应用于线性时不变（LTI）系统的输出的输出擦除信道相反，这里将接收器已知的擦除应用于LTI系统的输入。集中于输入符号独立且同分布（i.i.d）的情况，示出了两个信道（输入擦除和输出擦除）是等效的。此外，假设LTI系统由一个两抽头有限脉冲响应（FIR）滤波器组成，并利用三对角矩阵的简单性质，可实现的速率表达式的形式提出了一个无限和。结果，然后被用来研究的好处，联合多小区处理（MCP）单小区处理（SCP）在一个简单的线性蜂窝上行链路，其中每个移动终端接收到的只有两个附近的基站（BS）。具体地，该分析考虑了遍历遮蔽，遍历遮蔽同时阻止移动终端（MT）信号被两个BS接收。它示出，由此产生的遍历每单元的容量与最佳MCP是相当于两个抽头的输入擦除信道。最后，通过考虑动态用户活动来解决相同的蜂窝上行链路，动态用户活动通过假设每个MT在整个传输块中被随机选择为活动或保持沉默来建模。对于这种替代模型，一个类似的等效结果的输入擦除通道的报告。
英文摘要：
This paper considers the input-erasure Gaussian channel. In contrast to the output-erasure channel where erasures are applied to the output of a linear time-invariant (LTI) system, here erasures, known to the receiver, are applied to the inputs of the LTI system. Focusing on the case where the input symbols are independent and identically distributed (i.i.d)., it is shown that the two channels (input- and output-erasure) are equivalent. Furthermore, assuming that the LTI system consists of a two-tap finite impulse response (FIR) filter, and using simple properties of tri-diagonal matrices, an achievable rate expression is presented in the form of an infinite sum. The results are then used to study the benefits of joint multicell processing (MCP) over single-cell processing (SCP) in a simple linear cellular uplink, where each mobile terminal is received by only the two nearby base-stations (BSs). Specifically, the analysis accounts for ergodic shadowing that simultaneously blocks the mobile terminal (MT) signal from being received by the two BS. It is shown that the resulting ergodic per-cell capacity with optimal MCP is equivalent to that of the two-tap input-erasure channel. Finally, the same cellular uplink is addressed by accounting for dynamic user activity, which is modelled by assuming that each MT is randomly selected to be active or to remain silent throughout the whole transmission block. For this alternative model, a similar equivalence results to the input-erasure channel are reported.
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