Wavelet Packets and Their Statistical Applications

Released on by Khalil Ahmad
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  • Wavelet Packets and Their Statistical Applications Book Detail

  • Author : Khalil Ahmad
  • Release Date : 2018-06-21
  • Publisher : Springer
  • Genre : Mathematics
  • Pages : 249
  • ISBN 13 : 9811302685
  • File Size : 55,55 MB
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Wavelet Packets and Their Statistical Applications by Khalil Ahmad PDF Summary

Book Description: This book presents the basic concepts of functional analysis, wavelet analysis and thresholding. It begins with an elementary chapter on preliminaries such as basic concepts of functional analysis, a brief tour of the wavelet transform, Haar scaling functions and function space, wavelets, symlets wavelets and coiflets wavelets. In turn, Chapters 2 and 3 address the construction of wavelet packets, selected results on wavelet packets, band-limited wavelet packets, characterisations of wavelet packets, multiresolution analysis (MRA) wavelet packets, pointwise convergence, the convergence of wavelet packet series and convolution bounds. Chapter 4 discusses characterisations of function spaces like Lebesgue spaces, Hardy spaces and Sobolev spaces in terms of wavelet packets, while Chapter 5 is devoted to applications of wavelets and wavelet packets in speech denoising and biomedical signals. In closing, Chapter 6 highlights applications of wavelets and wavelet packets in image denoising.

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