Wavelet deconvolution in a periodic setting ∗

  title={Wavelet deconvolution in a periodic setting ∗},
  author={Iain M. Johnstone and Gerard Kerkyacharian},
In this paper, we present an inverse estimation procedure which combines Fourier analysis with wavelet expansion. In the periodic setting, our method can recover a blurred function observed in white noise. The blurring process is achieved through a convolution operator which can either be smooth (polynomial decay of the Fourier transform) or irregular (such as the convolution with a box-car). The proposal is non-linear and does not require any prior knowledge of the smoothness class; it enjoys… CONTINUE READING
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