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arXiv 0911.4896cs.ITmath.IT
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ISI信道中单载波频域分集器的分集阶数

Diversity Order in ISI Channels with Single-Carrier Frequency-Domain Equalizers

Ali Tajer, Aria Nosratinia

摘要:

分析了频率选择性信道下单载波频域均衡器(SC-FDE)的分集增益,揭示了分集增益$d$、信道记忆长度$ν$、传输块长度$L$和频谱效率$R$之间的相互影响。我们特别表明,对于类的最小均方误差(MMSE)的SC-FDE接收器,率$R\leq\log\frac{L}ν$的$d=ν+1$全分集是可以实现的,而对于更高的速率的多样性是由$d=\lfloor2^{-R}L\rfloor+1$。换句话说,可实现的分集增益不仅取决于信道存储器长度,而且取决于期望的频谱效率和传输块长度。类似的分析表明,对于迫零SC-FDE,分集阶数总是1,与信道存储长度和频谱效率无关。这些结果得到了模拟的支持。

英文摘要:

This paper analyzes the diversity gain achieved by single-carrier frequency-domain equalizer (SC-FDE) in frequency selective channels, and uncovers the interplay between diversity gain $d$, channel memory length $ν$, transmission block length $L$, and the spectral efficiency $R$. We specifically show that for the class of minimum means-square error (MMSE) SC-FDE receivers, for rates $R\leq\log\frac{L}ν$ full diversity of $d=ν+1$ is achievable, while for higher rates the diversity is given by $d=\lfloor2^{-R}L\rfloor+1$. In other words, the achievable diversity gain depends not only on the channel memory length, but also on the desired spectral efficiency and the transmission block length. A similar analysis reveals that for zero forcing SC-FDE, the diversity order is always one irrespective of channel memory length and spectral efficiency. These results are supported by simulations.

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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