中文摘要：

针对编码单载波循环前缀（SC-CP）多输入多输出（MIMO）系统,该文采用消息传递算法研究软输入软输出MIMO频域均衡器（FDE）的设计问题。基于广义近似消息传递（GAMP）算法,该文提出一种新的低复杂度MIMO频域均衡方法。这种消息传递MIMO均衡方法的显著特点是既保留了SC-CP传输所产生的频域均衡的优点,同时又避免了传统MIMO FDE中逐频点MIMO矩阵求逆运算,所以具有随MIMO系统接收天线数增加而线性增长的计算复杂度。计算机仿真结果表明,与传统方案相比,该文提出的MIMO频域均衡算法具有明显的误码率（BER）性能优势。

英文摘要：

The design of soft-input soft-output Frequency Domain Equalizer（FDE） is explored by using message passing methods for MIMO Single Carrier-Cyclic Prefix（SC-CP） systems. A novel low-complexity MIMO Turbo frequency domain equalization scheme is proposed based on the Generalized Approximate Message Passing（GAMP） algorithm. This new message passing MIMO equalization approach can circumvent the problem of MIMO matrix inversion on each frequency bin involved in the conventional MIMO FDE, while retaining the merits of frequency domain equalization due to SC-CP transmission. Thus, it has a complexity that grows linearly with the number of receive antennas. Simulation results show that the proposed MIMO equalization algorithm can significantly outperform the conventional counterpart in the terms of Bit Error Rate（BER） performance.