SpringerBriefs in Computer Science

Efficient Algorithms for Discrete Wavelet Transform

With Applications to Denoising and Fuzzy Inference Systems

Authors: Shukla, S K, Tiwari, Arvind K.

  • Describes a mathematical model to predict the errors introduced in the implementation of the discrete wavelet transform (DWT) on fixed-point processors
  • Explores the application of DWT on benchmark signals and images in terms of denoising
  • Proposes a modified threshold selection and thresholding scheme
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About this book

Due to its inherent time-scale locality characteristics, the discrete wavelet transform (DWT) has received considerable attention in signal/image processing. Wavelet transforms have excellent energy compaction characteristics and can provide perfect reconstruction. The shifting (translation) and scaling (dilation) are unique to wavelets. Orthogonality of wavelets with respect to dilations leads to multigrid representation. As the computation of DWT involves filtering, an efficient filtering process is essential in DWT hardware implementation. In the multistage DWT, coefficients are calculated recursively, and in addition to the wavelet decomposition stage, extra space is required to store the intermediate coefficients. Hence, the overall performance depends significantly on the precision of the intermediate DWT coefficients. This work presents new implementation techniques of DWT, that are efficient in terms of computation, storage, and with better signal-to-noise ratio in the reconstructed signal.

Table of contents (6 chapters)

  • Introduction

    Shukla, K. K. (et al.)

    Pages 1-20

  • Filter Banks and DWT

    Shukla, K. K. (et al.)

    Pages 21-36

  • Finite Precision Error Modeling and Analysis

    Shukla, K. K. (et al.)

    Pages 37-49

  • PVM Implementation of DWT-Based Image Denoising

    Shukla, K. K. (et al.)

    Pages 51-59

  • DWT-Based Power Quality Classification

    Shukla, K. K. (et al.)

    Pages 61-81

Buy this book

eBook $29.99
price for USA
  • ISBN 978-1-4471-4941-5
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Download immediately after purchase
Softcover $39.95
price for USA
  • ISBN 978-1-4471-4940-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Efficient Algorithms for Discrete Wavelet Transform
Book Subtitle
With Applications to Denoising and Fuzzy Inference Systems
Authors
Series Title
SpringerBriefs in Computer Science
Copyright
2013
Publisher
Springer-Verlag London
Copyright Holder
K. K. Shukla
eBook ISBN
978-1-4471-4941-5
DOI
10.1007/978-1-4471-4941-5
Softcover ISBN
978-1-4471-4940-8
Series ISSN
2191-5768
Edition Number
1
Number of Pages
IX, 91
Number of Illustrations and Tables
15 b/w illustrations, 31 illustrations in colour
Topics