The robustness of virtual-ESPRIT against model errors

Tsung-Hsien Liu, J. Mendel
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Abstract

Virtual-ESPRIT (VESPA) imposes a slight constraint on the array i.e. only a pair of identical sensors are required. We follow the classical procedure to define the sensitivity of VESPA with respect to each model parameter, and derive closed forms for the sensitivity formulas. We justify our derivations by comparing the theoretical formulas with the results from Monte Carlo simulations. Additionally, we demonstrate, by simulations, that VESPA is more robust to model mismatches than ESPRIT in most situations.
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虚拟esprit对模型误差的鲁棒性
虚拟esprit (VESPA)对阵列施加了轻微的约束,即只需要一对相同的传感器。我们按照经典程序定义了VESPA相对于每个模型参数的灵敏度,并推导了灵敏度公式的封闭形式。我们通过将理论公式与蒙特卡罗模拟结果进行比较来证明我们的推导是正确的。此外,我们通过仿真证明,在大多数情况下,VESPA对模型不匹配的鲁棒性比ESPRIT更强。
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