A New Wavelet Threshold Determination Method Considering Interscale Correlation in Signal Denoising

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Abstract

Due to simple calculation and good denoising effect, wavelet threshold denoising method has been widely used in signal denoising. In this method, the threshold is an important parameter that affects the denoising effect. In order to improve the denoising effect of the existing methods, a new threshold considering interscale correlation is presented. Firstly, a new correlation index is proposed based on the propagation characteristics of the wavelet coefficients. Then, a threshold determination strategy is obtained using the new index. At the end of the paper, a simulation experiment is given to verify the effectiveness of the proposed method. In the experiment, four benchmark signals are used as test signals. Simulation results show that the proposed method can achieve a good denoising effect under various signal types, noise intensities, and thresholding functions.

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He, C., Xing, J., Li, J., Yang, Q., & Wang, R. (2015). A New Wavelet Threshold Determination Method Considering Interscale Correlation in Signal Denoising. Mathematical Problems in Engineering, 2015. https://doi.org/10.1155/2015/280251

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