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Wavelet packets and their statistical applications

  • 作者: Ahmad, Khalil, author.
  • 其他作者:
  • 其他題名:
    • Forum for interdisciplinary mathematics.
  • 出版: Singapore : Springer Singapore :Imprint: Springer
  • 叢書名: Forum for interdisciplinary mathematics,
  • 主題: Wavelets (Mathematics) , Mathematics. , Functional Analysis. , Numerical Analysis. , Applications of Mathematics. , Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Sciences. , Signal, Image and Speech Processing.
  • ISBN: 9789811302688 (electronic bk.) 、 9789811302671 (paper)
  • FIND@SFXID: CGU
  • 資料類型: 電子書
  • 內容註: Chapter 1. Preliminaries -- Chapter 2. Wavelet Packets -- Chapter 3. Convergence of Wavelet Packet Series -- Chapter 4. Function Spaces and Wavelet Packets -- Chapter 5. Applications in Signal Processing -- Chapter 6. Applications in Image Processing.
  • 摘要註: 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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  • 系統號: 005432406 | 機讀編目格式
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