School of Mathematics and Physics, China University of Geosciences, Wuhan 430074, China

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Abstract—In this paper, we consider the problem of frequency estimation of superimposed exponential signals in the presence of multiplicative and additive noise. We propose a subspace method based iterative procedure for estimation of signal frequency parameters. The proposed method is based principal eigenvalue vectors of a special constructed data matrix and the weighted least squares (WLS) techniques. Simulations studies are performed to ascertain the performance of the proposed method. It is observed that the proposed method works well in terms of the computational efficiency and estimation accuracy.

Index Terms—Superimposed exponential signals, Multiplicative noise, Frequency estimation, Eigenvalue vectors, Weighted least squares.

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Cite: Zhihui Liu, Lihua Fu, Shizhong Zhang, "Subspace Approach for Frequency Estimation of Superimposed Exponential signals in Multiplicative and Additive Noise," Journal of Software vol. 8, no. 7, pp. 1671-1677, 2013.