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Performance of cumulant-based rank reduction estimator in presence of unexpected modeling errors

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Abstract

Compared with the rank reduction estimator (RARE) based on second-order statistics (called SOS-RARE), the RARE based on fourth-order cumulants (referred to as FOC-RARE) can handle more sources and restrain the negative impacts of the Gaussian colored noise. However, the unexpected modeling errors appearing in practice are known to significantly degrade the performance of the RARE. Therefore, the direction-of-arrival (DOA) estimation performance of the FOC-RARE is quantitatively derived. The explicit expression for direction-finding (DF) error is derived via the first-order perturbation analysis, and then the theoretical formula for the mean square error (MSE) is given. Simulation results demonstrate the validation of the theoretical analysis and reveal that the FOC-RARE is more robust to the unexpected modeling errors than the SOS-RARE.

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Authors and Affiliations

  1. Institute of Information System Engineering, PLA Information Engineering University, Zhengzhou, 450002, China

    Ding Wang  (王鼎)

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  1. Ding Wang  (王鼎)
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Correspondence to Ding Wang  (王鼎).

Additional information

Foundation item: Project(61201381) supported by the National Natural Science Foundation of China; Project(YP12JJ202057) supported by the Future Development Foundation of Zhengzhou Information Science and Technology College, China

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Wang, D. Performance of cumulant-based rank reduction estimator in presence of unexpected modeling errors. J. Cent. South Univ. 22, 992–1001 (2015). https://doi.org/10.1007/s11771-015-2610-y

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  • DOI: https://doi.org/10.1007/s11771-015-2610-y

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