论文标题
使用一位测量值在稀疏的跨偶极阵列上的电磁源的方向发现
Direction Finding of Electromagnetic Sources on a Sparse Cross-Dipole Array Using One-Bit Measurements
论文作者
论文摘要
稀疏的阵列布置已被广泛用于矢量传感器阵列中，因为识别比传感器更多的自由学程度增加了。对于大尺寸的稀疏矢量传感器阵列，一位测量值可以通过使用低分辨率ADC进一步降低接收器系统的复杂性。在本文中，我们提出了一个稀疏的跨二极阵列，并具有一位测量，以估计电磁源的到达方向（DOA）。基于来源的独立性假设，我们建立了一位测量的协方差矩阵与Bussgang定理的未量化测量结果之间的关系。然后，我们开发了一种基于空间平滑音乐的音乐（SS音乐）方法，即一位音乐（OB-Music），以估计DOA。通过共同利用两个偶极阵列的协方差矩阵，我们发现obusic对极化状态具有强大的态度。我们还得出了拟议方案的DOA估计的CRAMER-RAO结合（CRB）。此外，我们理论上分析了来源的独立性假设的适用性，这是拟议的和其他典型方法的基本，并验证典型通信应用中的假设。数值结果表明，使用相同数量的传感器，一位稀疏的跨偶极阵列具有可比性的性能，并具有未量化的均匀线性阵列，因此在DOA估计性能和系统复杂性之间提供了折衷。
Sparse array arrangement has been widely used in vector-sensor arrays because of increased degree-of-freedoms for identifying more sources than sensors. For large-size sparse vector-sensor arrays, one-bit measurements can further reduce the receiver system complexity by using low-resolution ADCs. In this paper, we present a sparse cross-dipole array with one-bit measurements to estimate Direction of Arrivals (DOA) of electromagnetic sources. Based on the independence assumption of sources, we establish the relation between the covariance matrix of one-bit measurements and that of unquantized measurements by Bussgang Theorem. Then we develop a Spatial-Smooth MUSIC (SS-MUSIC) based method, One-Bit MUSIC (OB-MUSIC), to estimate the DOAs. By jointly utilizing the covariance matrices of two dipole arrays, we find that OB-MUSIC is robust against polarization states. We also derive the Cramer-Rao bound (CRB) of DOA estimation for the proposed scheme. Furthermore, we theoretically analyze the applicability of the independence assumption of sources, which is the fundamental of the proposed and other typical methods, and verify the assumption in typical communication applications. Numerical results show that, with the same number of sensors, one-bit sparse cross-dipole arrays have comparable performance with unquantized uniform linear arrays and thus provide a compromise between the DOA estimation performance and the system complexity.
