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A Method for 3D Direction of Arrival Estimation for General Arrays Using Multiple Frequencies

机译:一种使用多频率的通用阵列3D方向估计方法

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摘要

We develop a novel high-resolution method for the estimation of the direction of incidence of energy emitted by sources in 3D space from wideband measurements collected by a planar array of sensors. We make use of recent generalizations of Kronecker's theorem and formulate the direction of arrival estimation problem as an optimization problem in the space of sequences generating so called “general domain Hankel matrices” of fixed rank. The unequal sampling at different wavelengths is handled by using appropriate interpolation operators. The algorithm is operational for general array geometries (i.e., not restricted to, e.g., rectangular arrays) and for equidistantly as well as unequally spaced receivers. Numerical simulations for different sensor arrays and various signal-to-noise ratios are provided and demonstrate its excellent performance.
机译:我们开发了一种新颖的高分辨率方法,用于根据传感器平面阵列收集的宽带测量值估算3D空间中源发出的能量的入射方向。我们利用Kronecker定理的最新概括,将到达方向估计问题公式化为在生成固定秩“通用域Hankel矩阵”的序列空间中的优化问题。通过使用适当的插值运算符可以处理不同波长的不等采样。该算法适用于一般的阵列几何形状(即不限于矩形阵列),并且适用于等距以及不等间隔的接收器。提供了针对不同传感器阵列和各种信噪比的数值仿真,并证明了其出色的性能。

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