We propose a cumulant-based algorithm for multiple near-field source localization based on exact source-sensor spatial geometry, where no simplification, such as Fresnel approximation of spatial phase-delay and inconsideration of propagation attenuation is made. We define five cumulant matrices, by which a set of coarse angle-range estimates plus a set of ambiguous angle-range estimates are derived. Fine and unambiguous estimation is finally obtained by a simple refinement step. We define the algorithm's name as Cumulant Algorithm For Exact Model (CAFEM). Compared with previous algorithms, CAFEM has the following advantages: (1) it is simple, analytical, and search-free, (2) it is not necessary to use uniformly spaced linear arrays, and (3) it is applicable to array sensors with unknown amplitude uncertainties and can accommodate any arbitrarily unknown propagation loss.

中文翻译：

---

精确源传感器空间几何的近场源定位

我们提出了一种基于精确源传感器空间几何结构的基于累积量的多近场源定位算法，其中没有进行简化，例如空间相位延迟的菲涅耳近似和不考虑传播衰减。我们定义了五个累积矩阵，通过这些矩阵可以导出一组粗略的角度范围估计加上一组模糊的角度范围估计。最终通过简单的细化步骤获得精细且明确的估计。我们将算法的名称定义为精确模型累积算法 (CAFEM)。与以前的算法相比，CAFEM 具有以下优点：（1）简单、解析、免搜索，（2）不需要使用均匀间隔的线性阵列，