Fundamentals of Wavelets: Theory, Algorithms, and Applications [NOOK Book]

Be the first to write a review

Overview

Most existing books on wavelets are either too mathematical or they focus on too narrow a specialty. This book provides a thorough treatment of the subject from an engineering point of view. It is a one-stop source of theory, algorithms, applications, and computer codes related to wavelets. This second edition has been updated by the addition of:
  • a section on "Other ...
See more details below
Fundamentals of Wavelets: Theory, Algorithms, and Applications

Available on NOOK devices and apps  
  • Nook Devices
  • NOOK HD/HD+ Tablet
  • NOOK
  • NOOK Color
  • NOOK Tablet
  • Tablet/Phone
  • NOOK for Windows 8 Tablet
  • NOOK for iOS
  • NOOK for Android
  • NOOK Kids for iPad
  • PC/Mac
  • NOOK for Windows 8
  • NOOK Study
  • NOOK for Web

Want a NOOK? Explore Now

NOOK Book (eBook)
$71.82
BN.com price
(Save 43%)$126.00 List Price
Note: This NOOK Book can be purchased in bulk. Please email us for more information.

More About This Book

Overview

Most existing books on wavelets are either too mathematical or they focus on too narrow a specialty. This book provides a thorough treatment of the subject from an engineering point of view. It is a one-stop source of theory, algorithms, applications, and computer codes related to wavelets. This second edition has been updated by the addition of:
  • a section on "Other Wavelets" that describes curvelets, ridgelets, lifting wavelets, etc
  • a section on lifting algorithms
  • Sections on Edge Detection and Geophysical Applications
  • Section on Multiresolution Time Domain Method (MRTD) and on Inverse problems
Read More Show Less

Editorial Reviews

From the Publisher
"This book provides a thorough treatment of wavelet theory and is very convenient for graduate students and researchers in electrical engineering, physics, and applied mathematics." (Zentralblatt MATH, 2011)
Read More Show Less

Product Details

  • ISBN-13: 9780470934647
  • Publisher: Wiley, John & Sons, Incorporated
  • Publication date: 3/8/2011
  • Series: Wiley Series in Microwave and Optical Engineering , #233
  • Sold by: Barnes & Noble
  • Format: eBook
  • Edition number: 2
  • Pages: 359
  • File size: 15 MB
  • Note: This product may take a few minutes to download.

Meet the Author

Jaideva C. Goswami, PhD, is an Engineering Advisor at Schlumberger in Sugarland, Texas. He is also a former professor of Electronics and Communication Engineering at the Indian Institute of Technology, Kharagpur. Dr. Goswami has taught several short courses on wavelets and contributed to the Wiley Encyclopedia of Electrical and Electronics Engineering as well as Wiley Encyclopedia of RF and Microwave Engineering. He has many research papers and patents to his credit, and is a Fellow of IEEE.

Andrew K. Chan, PhD, is on the faculty of Texas A&M University and is the coauthor of Wavelets in a Box and Wavelet Toolware. He is a Life Fellow of IEEE.

Read More Show Less

Table of Contents

1.What is this book all about?

2. Mathematical Preliminary.

2.1 Linear Spaces.

2.2 Vectors and Vector Spaces.

2.3 Basis Functions, Orthogonality and Biothogonality.

2.4 Local Basis and Riesz Basis.

2.5 Discrete Linear Normed Space.

2.6 Approximation by Orthogonal Projection.

2.7 Matrix Algebra and Linear Transformation.

2.8 Digital Signals.

2.9 Exercises.

2.10 References.

3. Fourier Analysis.

3.1 Fourier Series.

3.2 Rectified Sine Wave.

3.3 Fourier Transform.

3.4 Properties of Fourier Transform.

3.5 Examples of Fourier Transform.

3.6 Poisson’s Sum and Partition of ZUnity.

3.7 Sampling Theorem.

3.8 Partial Sum and Gibb’s Phenomenon.

3.9 Fourier Analysis of Discrete-Time Signals.

3.10 Discrete Fourier Transform (DFT).

3.11 Exercise.

3.12 References.

4. Time-Frequency Analysis.

4.1 Window Function.

4.2 Short-Time Fourier Transform.

4.3 Discrete Short-Time Fourier Transform.

4.4 Discrete Gabor Representation.

4.5 Continuous Wavelet Transform.

4.6 Discrete Wavelet Transform.

4.7 Wavelet Series.

4.8 Interpretations of the Time-Frequency Plot.

4.9 Wigner-Ville Distribution.

4.10 Properties of Wigner-Ville Distribution.

4.11 Quadratic Superposition Principle.

4.12 Ambiguity Function.

4.13 Exercise.

4.14 Computer Programs.

4.15 References.

5. Multiresolution Anaylsis.

5.1 Multiresolution Spaces.

5.2 Orthogonal, Biothogonal, and Semiorthogonal Decomposition.

5.3 Two-Scale Relations.

5.4 Decomposition Relation.

5.5 Spline Functions and Properties.

5.6 Mapping a Function into MRA Space.

5.7 Exercise.

5.8 Computer Programs.

5.9 References.

6. Construction of Wavelets.

6.1 Necessary Ingredients for Wavelet Construction.

6.2 Construction of Semiorthogonal Spline Wavelets.

6.3 Construction of Orthonormal Wavelets.

6.4 Orthonormal Scaling Functions.

6.5 Construction of Biothogonal Wavelets.

6.6 Graphical Display of Wavelet.

6.7 Exercise.

6.8 Computer Programs.

6.9 References.

7. DWT and Filter Bank Algorithms.

7.1 Decimation and Interpolation.

7.2 Signal Representation in the Approximation Subspace.

7.3 Wavelet Decomposition Algorithm.

7.4 Reconstruction Algorithm.

7.5 Change of Bases.

7.6 Signal Reconstruction in Semiorthogonal Subspaces.

7.7 Examples.

7.8 Two-Channel Perfect Reconstruction Filter Bank.

7.9 Polyphase Representation for Filter Banks.

7.10 Comments on DWT and PR Filter Banks.

7.11 Exercise.

7.12 Computer Program.

7.13 References.

8. Special Topics in Wavelets and Algorithms.

8.1 Fast Integral Wavelet Transform.

8.2 Ridgelet Transform.

8.3 Curvelet Transform.

8.4 Complex Wavelets.

8.5 Lifting Wavelet transform.

8.6 References.

9. Digital Signal Processing Applications.

9.1 Wavelet Packet.

9.2 Wavelet-Packet Algorithms.

9.3 Thresholding.

9.4 Interference Suppression.

9.5 Faulty Bearing Signature Identification.

9.6 Two-Dimensional Wavelets and Wavelet Packets.

9.7 Edge Detection.

9.8 Image Compression.

9.9 Microcalcification Cluster Detection. 

Read More Show Less

Customer Reviews

Be the first to write a review
( 0 )
Rating Distribution

5 Star

(0)

4 Star

(0)

3 Star

(0)

2 Star

(0)

1 Star

(0)

Your Rating:

Review Guidelines
Add Recommendations
Your Name: Create a Pen Name or

Barnes & Noble.com Review Rules

Our reader reviews allow you to share your comments on titles you liked, or didn't, with others. By submitting an online review, you are representing to Barnes & Noble.com that all information contained in your review is original and accurate in all respects, and that the submission of such content by you and the posting of such content by Barnes & Noble.com does not and will not violate the rights of any third party. Please follow the rules below to help ensure that your review can be posted.

Reviews by Our Customers Under the Age of 13

We highly value and respect everyone's opinion concerning the titles we offer. However, we cannot allow persons under the age of 13 to have accounts at BN.com or to post customer reviews. Please see our Terms of Use for more details.

What to exclude from your review:

Please do not write about reviews, commentary, or information posted on the product page. If you see any errors in the information on the product page, please send us an email.

Reviews should not contain any of the following:

  • - HTML tags, profanity, obscenities, vulgarities, or comments that defame anyone
  • - Time-sensitive information such as tour dates, signings, lectures, etc.
  • - Single-word reviews. Other people will read your review to discover why you liked or didn't like the title. Be descriptive.
  • - Comments focusing on the author or that may ruin the ending for others
  • - Phone numbers, addresses, URLs
  • - Pricing and availability information or alternative ordering information
  • - Advertisements or commercial solicitation

Reminder:

  • - By submitting a review, you grant to Barnes & Noble.com and its sublicensees the royalty-free, perpetual, irrevocable right and license to use the review in accordance with the Barnes & Noble.com Terms of Use.
  • - Barnes & Noble.com reserves the right not to post any review -- particularly those that do not follow the terms and conditions of these Rules. Barnes & Noble.com also reserves the right to remove any review at any time without notice.
  • - See Terms of Use for other conditions and disclaimers.
Search for Products You'd Like to Recommend

Recommend other products that relate to your review. Just search for them below and share!

Create a Pen Name

Your Pen Name is your unique identity on BN.com. It will appear on the reviews you write and other website activities. Your Pen Name cannot be edited, changed or deleted once submitted.

 
Your Pen Name can be any combination of alphanumeric characters (plus - and _), and must be at least two characters long.

Continue Anonymously
Sort by: Showing 1 Customer Reviews

  • Anonymous

    Posted January 25, 2003

    wavelets for engineers

    The marriage of signal processing and wavelets has spun off a host of exciting applications of math and algorithms. As a rule, it was an unexpected combination of ideas,-- as opposed to a single one, that generated the most sucessful applications. The present very nice book is aimed at students taking a service course, for example electrical or optical engineers, but it has broader appeal as well.

    Was this review helpful? Yes  NoThank you for your feedback.   Report this reviewThank you, this review has been flagged.
Sort by: Showing 1 Customer Reviews
If you find inappropriate content, please report it to Barnes & Noble
Why is this product inappropriate?
Comments (optional)