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文章基本信息

  • 标题:Multichannel boxcar deconvolution with growing number of channels
  • 本地全文:下载
  • 作者:Marianna Pensky ; Theofanis Sapatinas
  • 期刊名称:Electronic Journal of Statistics
  • 印刷版ISSN:1935-7524
  • 出版年度:2011
  • 卷号:5
  • 页码:53-82
  • DOI:10.1214/11-EJS597
  • 语种:English
  • 出版社:Institute of Mathematical Statistics
  • 摘要:We consider the problem of estimating the unknown response function in the multichannel deconvolution model with a boxcar-like kernel which is of particular interest in signal processing. It is known that, when the number of channels is finite, the precision of reconstruction of the response function increases as the number of channels M grow (even when the total number of observations n for all channels M remains constant) and this requires that the parameter of the channels form a Badly Approximable M-tuple.
  • 关键词:Adaptivity;badly approximable tuples;Besov spaces;Diophantine approximation;functional deconvolution;Fourier anal ysis;Meyer wavelets;nonparametric estimation;wavelet analysis.
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