2-D harmonic retrieval using higher-order statistics |
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Authors: | John M M Anderson Georgios B Giannakis |
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Affiliation: | (1) Department of Electrical and Computer Engineering at the University of Florida, 32611 Gainesville, Florida;(2) Department of Electrical Engineering at the University of Virginia, 22903 Charlottesville, VA |
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Abstract: | We consider the problem of estimating the harmonics of a noisy 2-D signal. The observed data is modeled as a 2-D sinusoidal signal, with either random or deterministic phases, plus additive Gaussian noise ofunknown covariance. Our method utilizes recently defined higher-order statistics, referred to as mixed-cumulants, which permit a formulation that is applicable to both the random and deterministic case. In particular, we first estimate the frequencies in each dimension using an overdetermined Yule-Walker type approach. Then, the 1-D frequencies are paired using a matching criterion. To support our theory, we examine the performance of the proposed method via simulations. |
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