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Insight into Wavelets: From Theory to Practice

Insight into Wavelets: From Theory to Practice


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About the Book

Signal processing has become an essential part of contemporary scientific and technological activity. The concept of signal spreads over various fields and applications. Wavelet transform is one of the latest and powerful tools for signal analysis. These transforms are used in applications such as sparse representation of signal (signal compression), time-frequency analysis, denoising of signals, and in solving partial differential equations. This substantially revised and fully updated edition of the book introduces the student to wavelet transform, wavelet design methods and its applications. The major change in the Second Edition is the inclusion of chapters on Wavelet Packets, Fractional Spline Wavelets, M-band Wavelets, and Design based on Groebner Bases and Curvelets. The text makes the subject accessible to anyone with a modest background in basic linear algebra. Intended primarily as a textbook for the postgraduate students of computer science, electrical/electronics and communication engineering, this book would also be useful for the practising engineers and researchers.

Table of Contents:
Preface. Acknowledgements.; 1. The Age of Wavelets.; 2. Fourier Series and Geometry.; 3. Continuous Wavelet and Short Time Fourier Transform.; 4. Discrete Wavelet Transform.; 5. Designing Orthogonal Wavelet Systems - A Direct Approach.; 6. Discrete Wavelet Transform and Relation to Filter Banks.; 7. Generating and Plotting of Parametric Wavelets.; 8. Biorthogonal Wavelets.; 9. Designing Wavelets - Frequency Domain Approach.; 10. Groebner Basis for Wavelet Design.; 11. Wavelet Packet Analysis.; 12. M-Band Wavelets.; 13. B-Splines and Fractional Spline Scaling Functions.; 14. Lifting Scheme.; 15. Image Compression.; 16. Denoising.; 17. Beyond Wavelets: The Ridgelets and Curvelets.; 18. Spline Wavelets: Introduction and Applications to Computer Graphics. Appendix. Index.

About the Author :
K.P. SOMAN (Ph.D., IIT Kharagpur) is Head, Centre for Excellence in Computational Engineering and Networking, Amrita Vishwa Vidyapeetham, Coimbatore. He has published/presented over 50 papers in international journals and conferences. His areas of interest include high performance computing, Data mining, Design patterns, Wavelet transform, Fractal analysis and Cryptography. Dr. Soman has authored a book, Insight Into Wavelet: From Theory to Practice, published by Prentice-Hall of India (2004). K.I. RAMACHANDRAN, Ph.D., is Professor, Centre for Excellence in Computational Engineering and Networking, Amrita Vishwa Vidyapeetham, Coimbatore. Professor Ramachandran has published in several papers in national and international journals. His research interests include computational fluid mechanics, nonlinear dynamics, virtual instrumentation, wavelets and fractals.


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Product Details
  • ISBN-13: 9788120329027
  • Publisher: PHI Learning
  • Publisher Imprint: Prentice-Hall of India Pvt.Ltd
  • Edition: Revised edition
  • Language: English
  • Sub Title: From Theory to Practice
  • ISBN-10: 8120329023
  • Publisher Date: 01 Dec 2005
  • Binding: Paperback
  • Height: 235 mm
  • No of Pages: 404
  • Width: 178 mm


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