基于矩阵完备的低复杂度毫米波大规模MIMO信道估计

doi:10.11959/j.issn.1000-0801.2020051

电信科学 ›› 2020, Vol. 36 ›› Issue (4): 99-106.doi: 10.11959/j.issn.1000-0801.2020051

基于矩阵完备的低复杂度毫米波大规模MIMO信道估计

邱佳锋

杭州电子科技大学通信工程学院，浙江杭州 310018

修回日期:2019-12-18 出版日期:2020-04-20 发布日期:2020-04-24
作者简介:邱佳锋（1995- ），男，杭州电子科技大学通信工程学院硕士生，主要研究方向为毫米波大规模MIMO系统信道估计
基金资助:
浙江省自然科学基金资助项目(LY12F01008)

Low-complexity massive MIMO channel estimation for mmWave systems via matrix completion

Jiafeng QIU

School of Communication Engineering,Hangzhou Dianzi University,Hangzhou 310018,China

Revised:2019-12-18 Online:2020-04-20 Published:2020-04-24
Supported by:
The Natural Science Foundation of Zhejiang Province of China(LY12F01008)

摘要/Abstract

摘要：

针对毫米波大规模多入多出系统为取得可靠信道估计需要高计算复杂度的缺陷，结合毫米波信道固有的低秩性提出一种低复杂度的毫米波波束域信道估计算法。该算法联合利用毫米波信道波束域稀疏性和天线域低秩性以更短训练间隔实现精确恢复。将信道估计看作矩阵完备问题，利用交替方向乘子法（ADMM）实现快速收敛，并采用快速随机奇异值阈值法将相应计算复杂度降低一个数量级。仿真结果表明，推荐算法在获得令人满意信道估计性能的同时依旧可以保持低复杂度。

关键词: 矩阵完备, ADMM, 信道估计, 毫米波大规模多入多出, 低复杂度

Abstract:

Due to the high computational complexity of mmWave massive MIMO systems realizing reliable channel estimation,a low-complexity mmWave beamspace channel estimation algorithm was proposed utilizing the inherent low-rank of the mmWave channel.The proposed algorithm jointly exploited the channel sparsity in the beamspace domain and its low-rank property in the antenna domain to provide more accurate recovery,especially for shorter training intervals.By regarding the channel estimation as matrix completion problem,the proposed algorithm was based on the alternating direction method of multipliers with fast convergence properties and exploited fast randomized singular value thresholding to significantly reduce the corresponding complexity.The simulation result shows that the proposed algorithm can achieve satisfactory channel estimation performance while maintaining low complexity.

Key words: matrix completion, ADMM, channel estimation, mmWave massive MIMO, low complexity

中图分类号:

TN911.22

邱佳锋. 基于矩阵完备的低复杂度毫米波大规模MIMO信道估计[J]. 电信科学, 2020, 36(4): 99-106.

Jiafeng QIU. Low-complexity massive MIMO channel estimation for mmWave systems via matrix completion[J]. Telecommunications Science, 2020, 36(4): 99-106.

图/表 4

表1

算法1的计算复杂度"

操作	复杂度
步骤2 $Y = A Ω \in ℂ^{m \times l}$ l	O(mn log l)
步骤3 $Q = QR_C P (Y) \in ℂ^{m \times s}$	O(ms ²)
步骤4 $Q = QR (A A^{H} Q) \in ℂ^{m \times s}$	O(ms ²)+O(mns)
步骤5 $[H, C] = QR (A^{T} Q)$	O(ms ²)+O(ns²)
步骤6、7计算极分解和特征分解	O(s ³)
步骤8 计算 $S V T_{τ} (A)$	O (mns)
总体	O(mn log l)+O(mns)×(η+1)

表1

图1

图2

图3

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基于矩阵完备的低复杂度毫米波大规模MIMO信道估计

Low-complexity massive MIMO channel estimation for mmWave systems via matrix completion

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