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arXiv 2203.00892eess.SP
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毫米波MIMO OFDM系统中基于原子范数最小化的联合定位和方向估计

Joint Localization and Orientation Estimation in Millimeter-Wave MIMO OFDM Systems via Atomic Norm Minimization

Jianxiu Li, Maxime Ferreira Da Costa, Urbashi Mitra

摘要:

在此,提出了一种用于从毫米波多输入多输出(MIMO)正交频分复用(OFDM)信号中精确估计目标的位置和方位的基于原子范数的方法。提出了一种新的虚拟信道矩阵,并设计了一种从其原子范数分解中提取定位相关信道参数的算法。然后,基于扩展的不变性原理,提出了一种加权最小二乘问题,以准确地恢复的位置和方向使用的视线和非视线信道信息。的估计和估计误差的理论保证的最优性和唯一性的条件,其特征在于无噪声和有噪声的情况下。通过仿真验证了理论结果。数值结果研究了所提出的算法的鲁棒性不正确的模型阶数选择或同步误差,并突出了性能的改善,比以前的方法。由此产生的性能几乎达到克拉美-罗下界的估计误差。

英文摘要:

Herein, an atomic norm based method for accurately estimating the location and orientation of a target from millimeter-wave multi-input-multi-output (MIMO) orthogonal frequency-division multiplexing (OFDM) signals is presented. A novel virtual channel matrix is introduced and an algorithm to extract localization-relevant channel parameters from its atomic norm decomposition is designed. Then, based on the extended invariance principle, a weighted least squares problem is proposed to accurately recover the location and orientation using both line-of-sight and non-line-of-sight channel information. The conditions for the optimality and uniqueness of the estimate and theoretical guarantees for the estimation error are characterized for the noiseless and the noisy scenarios. Theoretical results are confirmed via simulation. Numerical results investigate the robustness of the proposed algorithm to incorrect model order selection or synchronization error, and highlight performance improvements over a prior method. The resultant performance nearly achieves the Cramer-Rao lower bound on the estimation error.

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