Abstract
In this paper, we consider the two-dimensional (2-D) superimposed exponential signals in independently and identically distributed (i.i.d.) multiplicative and additive noise. We use a three step iterative(TSI) algorithm to estimate the frequencies of the considered model. It is observed that the estimator is consistent and works quite well in terms of biases and mean squared errors. Moreover, the convergence rate of the estimators attain \(O_p(M^{-3/2}N^{-1/2})\) and \(O_p(M^{-1/2}N^{-3/2})\) for each pair of frequencies. It attains the convergence rate of the least squares estimators (LSEs) in presence of only additive noise.
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Bian, J., Li, H., Peng, H., Xing, J. (2009). An Efficient and Fast Algorithm for Estimating the Frequencies of 2-D Superimposed Exponential Signals in Presence of Multiplicative and Additive Noise. In: Wang, H., Shen, Y., Huang, T., Zeng, Z. (eds) The Sixth International Symposium on Neural Networks (ISNN 2009). Advances in Intelligent and Soft Computing, vol 56. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-01216-7_20
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DOI: https://doi.org/10.1007/978-3-642-01216-7_20
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