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arXiv 1705.02455cs.ITmath.IT
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利用稀疏和低秩结构的毫米波信道估计

Millimeter Wave Channel Estimation via Exploiting Joint Sparse and Low-Rank Structures

Xingjian Li, Jun Fang, Hongbin Li, Pu Wang

摘要:

我们考虑毫米波(mmWave)系统的信道估计问题,其中,为了最小化硬件复杂度和功耗,采用在基站(BS)和移动台(MS)处仅具有一个射频(RF)链的模拟发射波束成形和接收组合结构。用于毫米波信道估计的大多数现有工作利用信道的稀疏散射特性。除了稀疏性之外,毫米波信道还可以在到达角(AoA)、离开角(AoD)和仰角域上表现出角度扩展。在本文中,我们表明,角度扩展产生了一个有用的低秩结构,随着稀疏性,可以同时利用,以减少样本的复杂性,即成功恢复毫米波信道所需的样本数量。具体而言,为了有效地利用联合稀疏和低秩结构,我们开发了一种用于毫米波信道估计的两阶段压缩感知方法,其中稀疏和低秩属性分别用于两个连续的阶段,即矩阵完成阶段和稀疏恢复阶段。我们的理论分析表明,所提出的两阶段方案可以实现比直接压缩感知方法,仅利用毫米波信道的稀疏结构的低样本复杂度。仿真结果证实了我们的理论结果,并显示所提出的两阶段方法的优越性。

英文摘要:

We consider the problem of channel estimation for millimeter wave (mmWave) systems, where, to minimize the hardware complexity and power consumption, an analog transmit beamforming and receive combining structure with only one radio frequency (RF) chain at the base station (BS) and mobile station (MS) is employed. Most existing works for mmWave channel estimation exploit sparse scattering characteristics of the channel. In addition to sparsity, mmWave channels may exhibit angular spreads over the angle of arrival (AoA), angle of departure (AoD), and elevation domains. In this paper, we show that angular spreads give rise to a useful low-rank structure that, along with the sparsity, can be simultaneously utilized to reduce the sample complexity, i.e. the number of samples needed to successfully recover the mmWave channel. Specifically, to effectively leverage the joint sparse and low-rank structure, we develop a two-stage compressed sensing method for mmWave channel estimation, where the sparse and low-rank properties are respectively utilized in two consecutive stages, namely, a matrix completion stage and a sparse recovery stage. Our theoretical analysis reveals that the proposed two-stage scheme can achieve a lower sample complexity than a direct compressed sensing method that exploits only the sparse structure of the mmWave channel. Simulation results are provided to corroborate our theoretical results and to show the superiority of the proposed two-stage method.

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