标题： 稀疏FIR信道缩短的设计与分析框架 显示英文标题

标题： Design and Analysis Framework for Sparse FIR Channel Shortening

摘要： 宽带通信中的一个主要性能和复杂性限制因素是长信道延迟扩展，它导致了高度频率选择性的信道频率响应。 信道缩短均衡器（CSEs）被用来确保长信道冲激响应（CIR）与CSE的级联近似等效于具有更短延迟扩展的目标冲激响应（TIR）。 本文提出了一种通用框架，将稀疏CSE和TIR有限脉冲响应（FIR）滤波器的设计问题转化为在不同字典中向量的最稀疏逼近问题。 此外，在该框架下比较了几种稀疏化字典的选择。 进一步地，这些字典的最坏情况相干性（决定其稀疏化效果）被解析地和/或数值地评估。 最后，通过数值实验验证了所提出的框架在设计稀疏CSE和TIR滤波器方面的有效性。 显示英文摘要

摘要： A major performance and complexity limitation in broadband communications is the long channel delay spread which results in a highly-frequency-selective channel frequency response. Channel shortening equalizers (CSEs) are used to ensure that the cascade of a long channel impulse response (CIR) and the CSE is approximately equivalent to a target impulse response (TIR) with much shorter delay spread. In this paper, we propose a general framework that transforms the problems of design of sparse CSE and TIR finite impulse response (FIR) filters into the problem of sparsest-approximation of a vector in different dictionaries. In addition, we compare several choices of sparsifying dictionaries under this framework. Furthermore, the worst-case coherence of these dictionaries, which determines their sparsifying effectiveness, are analytically and/or numerically evaluated. Finally, the usefulness of the proposed framework for the design of sparse CSE and TIR filters is validated through numerical experiments.