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通过符号一致性优化从仅一位幅度测量中进行波达方向估计

DOA Estimation from One-Bit Magnitude-Only Measurements via Sign-Consistency Optimization

Xicheng Lu, Wei Liu, Akram Alomainy

arXiv 2607.12491首次发表:更新:

AI 中文总结

研究从仅一位幅度测量中进行DOA估计的问题,通过符号一致性优化及近端梯度算法求解,在理想条件下精度与相干一位基线相当,在严重相位误差下性能更稳健。

AI 中文摘要

研究了使用仅一位量化幅度测量的波达方向(DOA)估计问题。仅幅度测量对相位误差具有鲁棒性,无需阵列校准,一位量化可显著降低硬件成本和系统复杂度。由于直接组合会导致无意义的常量测量,因此使用具有ell_2,1范数正则化的平滑逻辑替代函数来促进联合稀疏性,从而制定符号一致性优化问题。开发了一种近端梯度算法,保证收敛到临界点。数值结果表明,该方法在理想条件下达到了与相干一位基线相当的精度,在严重相位误差下保持了鲁棒性能,而相干方法则会受到严重影响。

英文摘要

The direction-of-arrival (DOA) estimation problem using one-bit quantized magnitude-only measurements is studied, where magnitude-only measurements offer robustness against phase errors, thereby avoiding the need for array calibration, while one-bit quantization significantly reduces hardware cost and system complexity. As their direct combination results in meaningless constant measurements, we formulate a sign-consistency optimization problem using a smooth logistic surrogate with ell_2,1-norm regularization to promote joint sparsity. To solve this problem, a proximal-gradient algorithm is developed with guaranteed convergence to a critical point. Numerical results demonstrate that the proposed method achieves accuracy comparable to coherent one-bit baselines under ideal conditions, while maintaining robust performance under severe phase errors that substantially impair coherent methods.

Comments12 pages, 9 figures. Submitted for possible publication

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