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Wavelets and Subbands

Fundamentals and Applications

  • Agostino Abbate
  • Casimer M. DeCusatis
  • Pankaj K. Das

Part of the Applied and Numerical Harmonic Analysis book series (ANHA)

Table of contents

  1. Front Matter
    Pages i-xvii
  2. Introduction

    1. Front Matter
      Pages 1-1
    2. Agostino Abbate, Casimer M. DeCusatis, Pankaj K. Das
      Pages 1-12
  3. Fundamentals

    1. Front Matter
      Pages 13-13
    2. Agostino Abbate, Casimer M. DeCusatis, Pankaj K. Das
      Pages 15-100
  4. Wavelets and Subbands

    1. Front Matter
      Pages 101-101
    2. Agostino Abbate, Casimer M. DeCusatis, Pankaj K. Das
      Pages 103-187
    3. Agostino Abbate, Casimer M. DeCusatis, Pankaj K. Das
      Pages 189-272
    4. Agostino Abbate, Casimer M. DeCusatis, Pankaj K. Das
      Pages 273-338
    5. Agostino Abbate, Casimer M. DeCusatis, Pankaj K. Das
      Pages 339-382
  5. Applications

    1. Front Matter
      Pages 383-383
    2. Agostino Abbate, Casimer M. DeCusatis, Pankaj K. Das
      Pages 385-421
    3. Agostino Abbate, Casimer M. DeCusatis, Pankaj K. Das
      Pages 423-472
    4. Agostino Abbate, Casimer M. DeCusatis, Pankaj K. Das
      Pages 473-520
  6. Back Matter
    Pages 507-551

About this book

Introduction

Recently there has been intense research activity on the subject of wavelet and subband theory. Experts in diverse fields such as mathematics, physics, electrical engineering, and image processing have provided original and pioneering works and results. But this diversity, while rich and productive, has led to a sense of fragmentation, especially to those new to the field and to nonspecialists who are trying to understand the connections between the different aspects of wavelet and subband theory. `Wavelets and Subbands' is designed to present an understanding of wavelets and their development from a continuous-domain transformation to a frame representation and finally to multiresolution analysis tools such as subband decomposition. The book presents a theoretical understanding of the subject that is intertwined with practical examples and applications of wavelets in ultrasonic and biomedical domains. There is special emphasis on applications in communications, compression, and image processing. Topics and Features: * Provides an understanding of the link between the continuous wavelet transform, the fast wavelet transform, and subband decomposition * Algorithms and numerical examples are implemented in MATLAB * Discusses the design of wavelet bases and details how to implement the transform both in hardware and software * Covers the fundamentals and the developments of the links between areas such as time-frequency analysis, digital signal processing, image processing, and Fourier and wavelet transform, both continuous and discrete * Offers extended mathematical treatment and numerous examples, with particular emphasis on the transition from the continuous domain to multiresolution and subband decomposition. The book is an essential text and reference for graduates, researchers, and professionals in electrical engineering,

Keywords

Communications Engineering Fourier transform MATLAB Signal Processing Wavelets communication discrete Fourier transform image processing

Authors and affiliations

  • Agostino Abbate
    • 1
  • Casimer M. DeCusatis
    • 3
  • Pankaj K. Das
    • 2
  1. 1.Panametrics, Inc.WalthamUSA
  2. 2.Department of Electrical and Computer EngineeringUniversity of CaliforniaSan Diego La JollaUSA
  3. 3.Department HHLAIBM CorporationPoughkeepsieUSA

Bibliographic information

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