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arXiv 2111.09686eess.SP
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一种用于波达角和信源数联合估计的监督学习框架

A Supervised Learning Framework for Joint Angle-of-Arrival and Source Number Estimation

Noud Kanters, Andrés Alayón Glazunov

摘要:

机器学习是一种很有前途的技术,用于波的到达角(AOA)估计撞击传感器阵列。然而,迄今为止提出的大多数方法仅考虑已知的固定数量的撞击波,即,一个固定的来源号码。本文提出了一种基于机器学习的估计器设计的情况下,源的数量是可变的,因此未知的先验。建议的估计包括一个框架的单标签分类器。每个分类器预测波是否存在于阵列的视场(FOV)的某些随机选择的段内,这是通过以特定(FOV)分辨率离散化FOV而产生的。分类器的预测被组合成概率角度谱,因此通过应用概率阈值来联合估计源数目和AOA,该概率阈值的最佳水平是从数据中学习的。估计器的性能评估使用一个新的性能指标:联合AOA估计成功率。数值模拟表明,对于低SNR(-10 dB),低FOV分辨率(2 $^\circ$)比高分辨率(1 $^\circ$)产生更高的成功率,而对于中(0 dB)和高(10 dB)SNR则相反。在几乎所有的仿真中,除了在低SNR和高FOV分辨率下的仿真之外,如果最大允许AOA估计误差近似等于(或大于)FOV分辨率,则所提出的估计器优于MUSIC算法。

英文摘要:

Machine learning is a promising technique for angle-of-arrival (AOA) estimation of waves impinging a sensor array. However, the majority of the methods proposed so far only consider a known, fixed number of impinging waves, i.e., a fixed source number. This paper proposes a machine-learning-based estimator designed for the case when the source number is variable and hence unknown a priori. The proposed estimator comprises a framework of single-label classifiers. Each classifier predicts if waves are present within certain randomly selected segments of the array's field of view (FOV), resulting from discretising the FOV with a certain (FOV) resolution. The classifiers' predictions are combined into a probabilistic angle spectrum, whereupon the source number and the AOAs are estimated jointly by applying a probability threshold whose optimal level is learned from data. The estimator's performance is assessed using a new performance metric: the joint AOA estimation success rate. Numerical simulations show that for low SNR (-10 dB), a low FOV resolution (2$^\circ$) yields a higher success rate than a high resolution (1$^\circ$), whereas the opposite applies for mid (0 dB) and high (10 dB) SNRs. In nearly all simulations, except one at low SNR and a high FOV resolution, the proposed estimator outperforms the MUSIC algorithm if the maximum allowed AOA estimation error is approximately equal to (or larger than) the FOV resolution.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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