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Achievable Rates of MIMO Systems With Linear Precoding and Iterative LMMSE Detection

机译：具有线性预编码和迭代LMMSE检测的MIMO系统可达到的速率

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摘要

We establish area theorems for iterative detection and decoding (or simply, iterative detection) over coded linear systems, including multiple-input multiple-output channels, intersymbol interference channels, and orthogonal frequency-division multiplexing systems. We propose a linear precoding technique that asymptotically ensures the Gaussianness of the messages passed in iterative detection, as the transmission block length tends to infinity. Area theorems are established to characterize the behavior of the iterative receiver. We show that, for unconstrained signaling, the proposed single-code scheme with linear precoding and iterative linear minimum mean-square error (LMMSE) detection is potentially information lossless, under various assumptions on the availability of the channel state information at the transmitter. We further show that, for constrained signaling, our proposed single-code scheme considerably outperforms the conventional multicode parallel transmission scheme based on singular value decomposition and water-filling power allocation. Numerical results are provided to verify our analysis.
机译：我们建立了用于编码线性系统上的迭代检测和解码（或简称为迭代检测）的面积定理，包括多输入多输出通道，符号间干扰通道和正交频分复用系统。我们提出了一种线性预编码技术，当传输块的长度趋于无穷大时，该技术可以渐近地确保通过迭代检测传递的消息的高斯性。建立面积定理以表征迭代接收器的行为。我们表明，对于无约束的信令，在发射机的信道状态信息可用性的各种假设下，具有线性预编码和迭代线性最小均方误差（LMMSE）检测的拟议单码方案具有潜在的信息无损性。我们进一步表明，对于受限信令，我们提出的单码方案明显优于基于奇异值分解和注水功率分配的传统多码并行传输方案。提供数值结果以验证我们的分析。

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