Abstract
We consider the denoising problem using the hybrid thresholding of wavelet-transform coefficients of the array of observations. The asymptotic order of the threshold and loss function is calculated while minimizing the average probability of error in calculating the wavelet coefficients.
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Funding
This work was supported by the Russian Foundation for Basic Research, project no. 19–07–00352. It was performed as part of the program of the Moscow Center for Fundamental and Applied Mathematics.
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Translated by I. Tselishcheva
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Kudryavtsev, A.A., Shestakov, O.V. Estimation of the Average Error Probability for Calculating Wavelet Coefficients in the Hybrid Thresholding Method. MoscowUniv.Comput.Math.Cybern. 45, 16–20 (2021). https://doi.org/10.3103/S0278641921010039
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DOI: https://doi.org/10.3103/S0278641921010039