Detecting the number of 2-D harmonics in multiplicative and additive noise using enhanced matrix

Authors:
Shiyong Yang;Hongwei Li;Tao Jiang
Affiliations:
Department of Electronics and Information Engineering, Huazhong University of Science and Technology, Wuhan, 430074, China and Department of Electronics Information Engineering, Wuzhou University, ...;School of Mathematics and Physics, China University of Geosciences, Wuhan, 430074, China;Department of Electronics and Information Engineering, Huazhong University of Science and Technology, Wuhan, 430074, China
Venue:
Digital Signal Processing
Year:
2012

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Abstract

This paper proposes a method for detecting the number of two-dimensional (2-D) harmonics in multiplicative and additive noise. We define an enhanced matrix using the generalized covariances of 2-D harmonics in multiplicative and additive noise and derive an inherent relation between the number of 2-D harmonics and the eigenvalues of the enhanced matrix. The number of 2-D harmonics in multiplicative and additive noise could be detected based on this special relation. The proposed method avoids the peaks searching and does not need any assumptions about the distribution and color of the multiplicative and additive noise. The computation complexity of the proposed method is analyzed. Simulations demonstrate the effectiveness of the proposed method.