Hybrid Precoding Algorithm Based on Successive Interference Cancellation for Millimeter Wave MIMO Systems
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摘要:
该文研究多用户毫米波MIMO系统的混合模数预编码器和合并器设计。针对因信号传播漫散射造成的多用户间信号干扰问题，提出一种基于连续干扰消除(SIC)的鲁棒混合预编码算法。首先对信道矩阵进行正交分解，以消除来自已知用户信号的干扰，从而将含有非凸约束的多用户链路优化问题分解为多个单用户链路优化问题。然后采用相位提取算法逐个求解每个用户的最优传输链路，并结合最小均方误差(MMSE)准则求得多用户混合预编码矩阵。仿真结果表明，与现有的混合预编码算法相比，所提算法在强干扰环境下具有显著的性能优势。
Abstract:This paper investigates the design of hybrid analog and digital precoder and combiner for multi-user millimeter wave MIMO systems. Considering the problem of signal interference between multiple users due to diffuse scattering of signal propagation, a robust hybrid precoding algorithm based on Successive Interference Cancellation (SIC) is proposed. By deducing the orthogonal decomposition formula of the channel matrix to eliminate the interference from the known users’ signals, the multi-user links optimization problem with nonconvex constraints can be decompose into multiple single-user link optimization problems. The phase extraction algorithm is then used to search each user’s optimal transmission link one by one, and the multi-user hybrid precoding matrix is obtained in combination with Minimum Mean Square Error (MMSE) criterion. Simulation results show that the proposed algorithm has significant performance advantages compared with the existing hybrid precoding algorithms under severe interference conditions.
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表 1 基于连续干扰消除的混合预编码算法
输入：${{{H}}_{u}},{u} = 1 ,2, ·\!·\!· ,{U}\;$； 输出：${{{F}}_{{\rm{BB}}}}$, ${{{F}}_{{\rm{RF}}}}$, ${{{w}}_{u}},{u} = 1 ,2, ·\!·\!· ,{U}\;$； 初始化：${{{F}}_{{\rm{RF}}}} = {\rm{Empty}}$；$\widehat {{H}} = {\rm{Empty}}$；${{{T}}_ 1 } = {{{H}}_ 1 }$； for ${u} = 1 :{U}\;$ (1) 对${{{T}}_{u}}$进行SVD分解，得到${{{v}}_ 1 }$和${{{q}}_ 1 }$； (2) ${{{v}}_ 1 }$代入式(14)，得到${{{w}}_{u}}$； (3) ${{{q}}_ 1 }$代入式(15)，得到${{{f}}_{{\rm{RF}},{u}}}$； (4) $\widehat {{h}}_u^{\rm{H}} = {{w}}_u^{\rm{H}}{{{H}}_u}$, $\widehat {{H}} = {\left[{\widehat {{H}}^{\rm{H}}}{\rm{ }}{\widehat {{h}}_{u}}\right]^{\rm{H}}}$, ${{{F}}_{{\rm{RF}}}} = [{{{F}}_{{\rm{RF}}}}{\rm{ }}{{{f}}_{{\rm{RF}},u}}]$； (5) $\widehat {{H}}$和${{{F}}_{{\rm{RF}}}}$代入式(16)，得到${{{F}}_{{\rm{BB}}}}$； if ${u} < {U}\;$ (6) ${{{F}}_{u}} = {{{F}}_{{\rm{RF}}}}{{{F}}_{{\rm{BB}}}}$，代入式(17)，得到${{{T}}_{{u} + 1}}$； end if end for ${{{F}}_{{\rm{BB}}}}{\rm{ = }}\sqrt {\frac{P}{{\left\| {{{{F}}_{{\rm{RF}}}}{{{F}}_{{\rm{BB}}}}} \right\|_{\rm{F}}^{2}}}} {{{F}}_{{\rm{BB}}}}$ 
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