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An optimal whitening approach to linear multiuser detection

机译：线性多用户检测的最佳美白方法

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摘要

We propose a new linear multiuser receiver for synchronous code-division multiple-access (CDMA) systems, referred to as the orthogonal multiuser (OMU) receiver. Unlike the linear minimum mean-squared error (MMSE) receiver, the OMU receiver depends only on the signature vectors and does not require knowledge of the received amplitudes or the channel signal-to-noise ratio (SNR). Several equivalent representations of the receiver are developed with different implications in terms of implementation. In the first, the receiver consists of a decorrelator demodulator followed by an optimal whitening transformation on a space formed by the signatures. In the second, the receiver consists of a bank of correlators with correlating vectors that are projections of a set of orthogonal vectors, and are closest in a least squares sense to the decorrelator vectors and also closest in a least squares sense to the signature vectors. In the third, the receiver consists of a single-user matched filter (MF) followed by an optimal whitening transformation on a space formed by the signatures. We derive exact and approximate expressions for the probability of bit error, as well as the asymptotic signal-to-interference+noise ratio (SINR) in the large system limit. The analysis suggests that over a wide range of channel parameters the OMU receiver can outperform both the decorrelator and the single-user MF and perform similarly to the linear MMSE receiver, despite not knowing the channel parameters.
机译：我们为同步码分多址（CDMA）系统提出了一种新的线性多用户接收机，称为正交多用户（OMU）接收机。与线性最小均方误差（MMSE）接收器不同，OMU接收器仅取决于特征向量，不需要了解接收的幅度或信道信噪比（SNR）。接收器的几种等效表示形式在实现方面具有不同的含义。首先，接收器由解相关器解调器组成，然后在由签名形成的空间上进行最佳的白化转换。在第二个中，接收器由具有相关矢量的一组相关器组成，这些相关矢量是一组正交矢量的投影，并且在最小二乘意义上最接近去相关器矢量，并且在最小二乘意义上最接近签名向量。在第三部分中，接收器由单用户匹配滤波器（MF）组成，然后在由签名形成的空间上进行最佳的白化转换。我们得出了误码率的精确和近似表达式，以及在大系统范围内的渐近信号干扰+噪声比（SINR）。分析表明，在不知道信道参数的情况下，OMU接收机可以在很大的信道参数范围内胜过去相关器和单用户MF，并且性能与线性MMSE接收机相似。

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