FIR MIMO编码器稀疏化字典的设计与分析
Design and Analysis of Sparsifying Dictionaries for FIR MIMO Equalizers
摘要：
在本文中，我们提出了一个通用的框架，将设计稀疏有限脉冲响应线性均衡器和非线性判决反馈均衡器的问题，为多天线系统，在不同的字典中的一个向量的sparestapproximation的问题。此外，我们研究了在这个框架下的稀疏化字典的几种选择。此外，最坏情况下的凝聚力，这些字典，这决定了他们的稀疏化的有效性，分析和/或数值评估。此外，我们展示了如何减少计算复杂性的稀疏均衡滤波器的设计，利用Toeplitz和循环矩阵的渐近等价。最后，我们提出的框架比传统的方法的优越性，通过数值实验证明。
英文摘要：
In this paper, we propose a general framework that transforms the problems of designing sparse finite-impulseresponse linear equalizers and non-linear decision-feedback equalizers, for multiple antenna systems, into the problem of sparsestapproximation of a vector in different dictionaries. In addition, we investigate several choices of the sparsifying dictionaries under this framework. Furthermore, the worst-case coherences of these dictionaries, which determine their sparsifying effectiveness, are analytically and/or numerically evaluated. Moreover, we show how to reduce the computational complexity of the designed sparse equalizer filters by exploiting the asymptotic equivalence of Toeplitz and circulant matrices. Finally, the superiority of our proposed framework over conventional methods is demonstrated through numerical experiments.
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