Blind deconvolution model in periodic setting with fractional Gaussian noise |
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| Authors: | Rida Benhaddou |
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| Institution: | Department of Mathematics, Ohio University, Athens, OH |
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| Abstract: | We consider the problem of estimating the response function in a deconvolution model under fractional Gaussian noise and noisy kernel. A preliminary threshold is used to stabilize the inversion. Our estimator is adaptive and attains minimax optimal or near-optimal rates in a wide range of Besov balls. |
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| Keywords: | Blind deconvolution Fractional Gaussian noise Minimax convergence rate |
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