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Frequency Estimation of 2-D Harmonics in Multiplicative and Additive Noise Based on ESPRIT

Shiyong Yang and Jinlong Jiang
School of Electronic Engineering, Jiujiang University, Jiujiang, China

Abstract—This paper studies the frequency estimation of two-dimensional (2-D) harmonics in presence of multiplicative and additive noise. We construct a cyclic covariance matrix using a class of cyclic covariance of the 2-D harmonics. Exploiting the shift-invariance structure of the signal subspace, we extend ESPRIT to estimate the frequency pairs of 2-D harmonics in multiplicative and additive noise. The proposed method has high-resolution and can directly estimate the frequency pairs of 2-D harmonics without frequency pairing operation. Simulation results demonstrate the effectiveness of the proposed method.

Index Terms—Frequency estimation, multiplicative noise, ESPRIT, two-dimensional harmonic

Cite: Shiyong Yang and Jinlong Jiang, “Frequency Estimation of 2-D Harmonics in Multiplicative and Additive Noise Based on ESPRIT," Journal of Communications, vol. 11, no. 4, pp. 411-416, 2016. Doi: 10.12720/jcm.11.4.411-416

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