Robustness of the finite-length MMSE-DFE with respect to channel and second-order statistics estimation errors

信号处理 Pub Date : 2001-08-06 DOI:10.1109/SSP.2001.955345

A. Liavas

引用次数: 3

Abstract

The filters constituting the minimum mean square error decision-feedback equalizer (MMSE-DFE), as well as related performance measures, can be computed by assuming perfect knowledge of the channel impulse response and the input and noise second-order statistics (SOS). In practice, we estimate the unknown channel and SOS, and inevitable estimation errors arise. We model estimation errors as small perturbations, i.e., of order /spl epsiv/, with /spl epsiv/ a sufficiently small positive number, and we study the behavior of the MMSE-DFE under mismatch by performing a first-order perturbation analysis. We prove that the excess MSE induced by O(/spl epsiv/) estimation errors is O(/spl epsiv//sup 2/), uncovering important robustness properties associated with the MMSE-DFE.

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有限长度MMSE-DFE对信道和二阶统计估计误差的鲁棒性

构成最小均方误差决策反馈均衡器(MMSE-DFE)的滤波器，以及相关的性能指标，可以通过假设完全了解信道脉冲响应以及输入和噪声二阶统计量(SOS)来计算。在实际应用中，我们对未知信道和SOS进行估计，不可避免地会产生估计误差。我们将估计误差建模为/spl epsiv/阶的小扰动，/spl epsiv/是一个足够小的正数，并通过一阶扰动分析研究了失配条件下MMSE-DFE的行为。我们证明了由0 (/spl epsiv/)估计误差引起的过量MSE为0 (/spl epsiv//sup 2/)，揭示了与MMSE-DFE相关的重要鲁棒性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

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期刊介绍： Journal of Signal Processing is an academic journal supervised by China Association for Science and Technology and sponsored by China Institute of Electronics. The journal is an academic journal that reflects the latest research results and technological progress in the field of signal processing and related disciplines. It covers academic papers and review articles on new theories, new ideas, and new technologies in the field of signal processing. The journal aims to provide a platform for academic exchanges for scientific researchers and engineering and technical personnel engaged in basic research and applied research in signal processing, thereby promoting the development of information science and technology. At present, the journal has been included in the three major domestic core journal databases "China Science Citation Database (CSCD), China Science and Technology Core Journals (CSTPCD), Chinese Core Journals Overview" and Coaj. It is also included in many foreign databases such as Scopus, CSA, EBSCO host, INSPEC, JST, etc.