Open access peer-reviewed Edited Volume

Discrete Wavelet Transforms

Algorithms and Applications

The discrete wavelet transform (DWT) algorithms have a firm position in processing of signals in several areas of research and industry. As DWT provides both octave-scale frequency and spatial timing of the analyzed signal, it is constantly used to solve and treat more and more advanced problems. The present book: Discrete Wavelet Transforms: Algorithms and Applications reviews the recent progress in discrete wavelet transform algorithms and applications. The book covers a wide range of methods (e.g. lifting, shift invariance, multi-scale analysis) for constructing DWTs. The book chapters are organized into four major parts. Part I describes the progress in hardware implementations of the DWT algorithms. Applications include multitone modulation for ADSL and equalization techniques, a scalable architecture for FPGA-implementation, lifting based algorithm for VLSI implementation, comparison between DWT and FFT based OFDM and modified SPIHT codec. Part II addresses image processing algorithms such as multiresolution approach for edge detection, low bit rate image compression, low complexity implementation of CQF wavelets and compression of multi-component images. Part III focuses watermaking DWT algorithms. Finally, Part IV describes shift invariant DWTs, DC lossless property, DWT based analysis and estimation of colored noise and an application of the wavelet Galerkin method. The chapters of the present book consist of both tutorial and highly advanced material. Therefore, the book is intended to be a reference text for graduate students and researchers to obtain state-of-the-art knowledge on specific applications.

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Discrete Wavelet TransformsAlgorithms and ApplicationsEdited by Hannu Olkkonen

Published: August 29th 2011

DOI: 10.5772/817

ISBN: 978-953-307-482-5

eBook (PDF) ISBN: 978-953-51-5550-8

Copyright year: 2011

Books open for chapter submissions

46677 Total Chapter Downloads

20 Crossref Citations

27 Web of Science Citations

30 Dimensions Citations


Open access peer-reviewed

1. Discrete Wavelet Multitone Modulation for ADSL & Equalization Techniques

By Sobia Baig, Fasih-ud-Din Farrukh and M. Junaid Mughal


Open access peer-reviewed

2. A Scalable Architecture for Discrete Wavelet Transform on FPGA-Based System

By Xun Zhang


Open access peer-reviewed

3. VLSI Architectures of Lifting-Based Discrete Wavelet Transform

By Sayed Ahmad Salehi and Rasoul Amirfattahi


Open access peer-reviewed

4. Simulation of Models and BER Performances of DWT-OFDM versus FFT-OFDM

By Khaizuran Abdullah and Zahir M. Hussain


Open access peer-reviewed

5. Several Kinds of Modified SPIHT Codec

By Wenchao Zhang


Open access peer-reviewed

6. Multiresolution Approaches for Edge Detection and Classification Based on Discrete Wavelet Transform

By Guillermo Palacios, J. Ramón Beltrán and Raquel Lacuesta


Open access peer-reviewed

7. Low Bit Rate Video Compression Algorithm Using 3-D Discrete Wavelet Decomposition

By Awad Kh. Al-Asmari


Open access peer-reviewed

8. Low Complexity Implementation of Daubechies Wavelets for Medical Imaging Applications

By Khan Wahid


Open access peer-reviewed

9. Discrete Wavelets on Edges

By Alexandre Chapiro, Tassio Knop De Castro, Virginia Mota, Eder De Almeida Perez, Marcelo Bernardes Vieira and Wilhelm Passarella Freire


Open access peer-reviewed

10. Discrete Wavelet Transform and Optimal Spectral Transform Applied to Multicomponent Image Coding

By Isidore Paul Akam Bita, Michel Barret, Florio Dalla Vedova, Jean-Louis Gutzwiller and Dinh-Tuan Pham


Open access peer-reviewed

11. Watermarking-Based Image Authentication System in the Discrete Wavelet Transform Domain

By Clara Cruz Ramos, Rogelio Reyes Reyes, Mariko Nakano Miyatake and Héctor Manuel Pérez Meana


Open access peer-reviewed

12. Application of Discrete Wavelet Transform in Watermarking

By Corina Nafornita and Alexandru Isar


Open access peer-reviewed

13. Shift Invariant Discrete Wavelet Transforms

By Hannu Olkkonen and Juuso T. Olkkonen


Open access peer-reviewed

14. Condition on Word Length of Signals and Coefficients for DC Lossless Property of DWT

By Masahiro Iwahashi and Hitoshi Kiya


Open access peer-reviewed

15. Wavelet-Based Analysis and Estimation of Colored Noise

By Bart Goossens, Jan Aelterman, Hiêp Luong, Aleksandra Pižurica and Wilfried Philips


Open access peer-reviewed

16. An Adaptive Energy Discretization of the Neutron Transport Equation Based on a Wavelet Galerkin Method

By D. Fournier and R. Le Tellier


Edited Volume and chapters are indexed in

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  • Google Scholar
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  • Base
  • CNKI

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