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首页> 外文期刊>IEEE Transactions on Information Theory >Probability of error in MMSE multiuser detection
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Probability of error in MMSE multiuser detection

机译：MMSE多用户检测中出现错误的可能性

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摘要

The performance analysis of the minimum-mean-square-error (MMSE) linear multiuser detector is considered in an environment of nonorthogonal signaling and additive white Gaussian noise. In particular, the behavior of the multiple-access interference (MAI) at the output of the MMSE detector is examined under various asymptotic conditions, including: large signal-to-noise ratio; large near-far ratios; and large numbers of users. These results suggest that the MAI-plus-noise contending with the demodulation of a desired user is approximately Gaussian in many cases of interest. For the particular case of two users, it is shown that the maximum divergence between the output MAI-plus-noise and a Gaussian distribution having the same mean and variance is quite small in most cases of interest. It is further proved in this two-user case that the probability of error of the MMSE detector is better than that of the decorrelating linear detector for all values of normalized crosscorrelations not greater than 1/2 /spl radic/(2+/spl radic/3)/spl cong/0.9659.
机译：在非正交信号和加性高斯白噪声环境下，考虑了最小均方误差（MMSE）线性多用户检测器的性能分析。尤其是，在各种渐近条件下检查了MMSE检测器输出处的多址干扰（MAI）的行为，包括：大信噪比；远近比率大；和大量的用户。这些结果表明，在许多感兴趣的情况下，与所需用户的解调竞争的MAI加噪声近似为高斯分布。对于两个用户的特定情况，表明在大多数感兴趣的情况下，输出MAI加噪声与具有相同均值和方差的高斯分布之间的最大差异很小。在这两个用户的情况下，进一步证明，对于所有不大于1/2 / spl radic /（2 + / spl radic）的归一化互相关值，MMSE检测器的错误概率比解相关线性检测器的错误概率更好。 / 3）/ spl cong / 0.9659。

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