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MTSI Algorithm for Frequencies Estimation of 2-D Superimposed Exponential Model in Multiplicative and Additive Noise which is Stationary |
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PP: 1767-1780 |
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Author(s) |
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Jiawen Bian,
Jing Xing,
Huiming Peng,
Hongwei Li,
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Abstract |
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| In this paper, the frequencies estimation of two-dimensional (2-D) superimposed exponential model in zero-mean
multiplicative and additive noise which is stationary, is considered by a computationally efficient statistics based iterative algorithm.
The model we considered is a more general evanescent part of stationary random field as well as an important model in statistical signal
processing and texture classifications. It is observed that the estimator is consistent and works quite well in terms of biases and mean
squared errors. Moreover, the asymptotic distribution of the estimators for the frequencies is multivariate normal and the estimators
attain the same convergence rate as the Least Squares Estimator (LSE) in additive noise. Finally, the effectiveness of the algorithm and
the asymptotic results of the estimators for finite sample is verified via some numerical experiments. |
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