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First Course in Wavelets with Fourier Analysis, A
Albert Boggess
Francis J. Narcowich, both of Texas A&M University, College Station

ISBN-10: 0130228095
ISBN-13: 9780130228093

Publisher: Prentice Hall
Copyright: 2001
Format: Cloth; 260 pp
Status: Out of Print

Suggested retail price: $91.60
This item is out of print and is no longer available for purchase.



For courses in Wavelets or Fourier Analysis.

This undergraduate text is designed to fill the gap between texts on wavelets that are either too advanced (in terms of mathematical background required) or that contain too little mathematical theory underlying wavelets. It presents most of the theory underlying Fourier analysis and wavelets in a clear and comprehensive fashion--without requiring a graduate background in real analysis.

  • A balance between theory and practical algorithms--E.g., presents the theory surrounding multiresolution analysis (decomposition and reconstruction of wavelet spaces) in a general framework in one section, and the decomposition and reconstruction algorithms in another.

    • Gives students a balanced understanding of theory and practice. Ex.___

  • Clear presentation of applications to digital signal processing--E.g., data compression, digital filtering and singularity detection.

    • Makes the topic accessible to a broad audience whose backgrounds may not include any courses in engineering. Ex.___

  • Numerous exercises and examples.

    • Gives students hands-on experience. Ex.___

  • Many illustrations.

    • Helps students visualize the theory discussed. Ex.___

  • Matlab code--Includes the code used in many of the algorithms (in the appendix).
  • Emphasis on signal processing.

    • Provides insight into a topic that is increasingly important in our digital age. Ex.___



0. Inner Product Spaces.


1. Fourier Series.


2. The Fourier Transform.


3. Discrete Fourier Analysis.


4. Wavelet Analysis.


5. Multiresolution Analysis.


6. The Daubechies Wavelets.


7. Other Wavelet Topics.


Appendix A. Technical Matters.


Appendix B. Matlab Routines.


Bibliography.

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Pearson Higher Education offers special pricing when you choose to package your text with other student resources. If you're interested in creating a cost-saving package for your students contact your Pearson Higher Education representative.


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