频率选择性信道下的MIMO收发机联合设计

doi:1000-436X(2010)01-0030-07

摘要/Abstract

摘要：

研究了频率选择性信道下非块传输多天线系统的线性空间收发机联合设计问题，提出了基于最小均方误差准则（MMSE）的联合最优收发算法。为了避免MMSE算法所需要的收发机迭代计算，还给定MMSE接收机、提出了一种低复杂度的串行搜索迫零（ZF-SS）发射预编码，它能够采用多天线提供的空间资源减小或消除多径信道带来的符号间干扰。仿真分析表明，MMSE算法和ZF-SS算法在高信噪比下的性能明显优于现有的基于特征值的波束形成算法。

关键词: 多天线系统, 频率选择性信道, ；联合收发机设计, 特征波束形成

Abstract:

The problem of joint linear spatial Tx-Rx design was investigated for multiple-antenna non-block transmission systems over frequency selective channels. A minimum mean square error (MMSE) criterion based linear transceiver was proposed. To avoid the iterative computation between the transmitter and receiver i lved in the joint MMSE Tx-Rx de-sign, a low-complexity transceiver given a MMSE receiver called successive searching zero-forcing (ZF-SS) algorithm was proposed, which exploits spatial resources to mitigate or eliminate the inter-symbol-interference caused by multi-path channels. Simulation results show that both the MMSE a ithm and the ZF-SS algorithm outperform the existing ei-genvalue based beamformer for high signal-to-noise ratio (SNR).

Key words: multiple antenna systems, frequency selective channels, joint Tx-Rx design, eigenvalue based beamforming

韩圣千,杨晨阳. 频率选择性信道下的MIMO收发机联合设计[J]. 通信学报, 2010, 31(1): 30-36.

Sheng-qian HAN,Chen-yang YANG. Joint linear transceiver design over MIMO frequency selective channels[J]. Journal on Communications, 2010, 31(1): 30-36.

图/表 8

图1

图2

表1

收发端联合MMSE算法实现流程"

初始化：设置

\bar{W}

为由 NL_q ×NL_q 维单位矩阵的前S 行构成的S × NL_q维矩阵，定义SMSE_i是第i 次迭代结果对应的 SMSE, SMSE₀=∞,i=0。

迭代：

1) 根据式(8)和式(9)分别计算

{\bar{P}}_{i}

、b_i和

{\bar{W}}_{i}

，进而得到P_i和W_i；

2) 更新i=i+ 1，并根据式(6)计算SMSE_i。

停止准则：当SMSE_i-SMSE_i+1＜ε时，停止迭代。其中，ε是预先设定的门限值。

表1

表2

ZF-SS算法具体流程"

定义：S_j和T_j分别表示第j次迭代时已选和剩余的多径分量的序号组合，由式(12)给出的发射端预编码和由式(14)给出的系统可达数据率分别记为P(S_j ) 和R(P(S_j ))。

初始化：设置 j=0,S₀=?,T₀={1,…,L},R(P(S₀))=0。

迭代：

1) 基于S_j ，从T_j中挑选新的多径分量s_j+1：

s_{j + 1} = \arg \max_{l \in T_{j}} R (P (S_{j} \cup {l})) (16)

2) 更新S_j+1=S_j∪{s_j+1},T_j+1={|∈T_j,|?S_j+1},j=j+1，并计算R(P(S_j ))。

停止准则：当j=J_M或者R(P(S_j+1))＜R(P(S_j)) 时，停止迭代。

表2

图3

图4

图5

图6

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