Single Snapshot R-D Unitary Tensor-ESPRIT Using an Augmentation of the Tensor Order
Single Snapshot R-D Unitary Tensor-ESPRIT Using an Augmentation of the Tensor Order
复制标题
使用张量阶数增强的单快照 R-D 酉张量 ESPRIT
DOI：
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发表时间：
2009
期刊：
影响因子：
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通讯作者：
K. Giridhar
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文献类型：
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作者：
Arpita Thakre;M. Haardt;K. Giridhar
单次快照R-D酉张量ESPRIT使用张量阶次的增强（SS-U-TE-ATO）是使用数据的单次快照的R维（R-D）无阻尼谐波的基于子空间的参数估计技术。在SS-U-TE-ATO中，测量数据被打包到应用空间平滑的测量张量中。利用空间平滑张量的固有结构，提出了从空间平滑张量构造R高阶张量的方法。在SS-U-TE-ATO的下一步骤中，从R个复值高阶张量获得R个增强实值信号子空间估计，每个维度一个。我们表明，SS-U-TE-ATO的性能显着优于酉张量ESPRIT（U-TE）直接应用于空间平滑张量。此外，对于每个维度，SS-U-TE-ATO几乎对每个子阵列的传感器数量的变化不敏感，只要子阵列的数量大于源的数量。因此，我们避免了选择一个给定的源配置的最佳子阵列的大小的问题。
Single Snapshot R-D Unitary Tensor-ESPRIT Using an Augmentation of the Tensor Order (SS-U-TE-ATO) is a subspace-based parameter estimation technique for R-dimensional (R-D) undamped harmonics using a single snapshot of data. In SS-U-TE-ATO the measurement data is packed into a measurement tensor to which spatial smoothing is applied. We propose the construction of R higher-order tensors from the spatially smoothed tensor by exploiting the inherent structure of the spatially smoothed tensor. In the next step of SS-U-TE-ATO, R enhanced real-valued signal subspace estimates, one for each dimension, are obtained from the R complex-valued higher-order tensors. We show that SS-U-TE-ATO performs significantly better than Unitary Tensor-ESPRIT (U-TE) directly applied to the spatially smoothed tensor. Moreover, for each dimension, SS-U-TE-ATO is almost insensitive to changes in the number of sensors per subarray provided that the number of subarrays is greater than the number of sources. Thereby we avoid the problem of selecting the optimum subarray size for a given source configuration.