Wavelets and Subbands

1. Front Matter

   Pages i-xvii

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2. Introduction

   1. Front Matter

      Pages 1-1

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   2. Introduction

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

      Pages 1-12

3. Fundamentals

   1. Front Matter

      Pages 13-13

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   2. Wavelet Fundamentals

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

      Pages 15-100

4. Wavelets and Subbands

   1. Front Matter

      Pages 101-101

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   2. Time-Frequency Analysis of Signals

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

      Pages 103-187

   3. Discrete Wavelet Transform: From Frames to Fast Wavelet Transform

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

      Pages 189-272

   4. Theory of Subband Decomposition

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

      Pages 273-338

   5. Two-Dimensional Wavelet Transforms and Applications

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

      Pages 339-382

5. Applications

   1. Front Matter

      Pages 383-383

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   2. Applications of Wavelets to the Analysis of Transient Signals

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

      Pages 385-421

   3. Applications of Subband and Wavelet Transform in Digital Communications

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

      Pages 423-472

   4. Real-Time Implementations of the Wavelet Transform

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

      Pages 473-520

6. Back Matter

   Pages 507-551

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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,

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

• Panametrics, Inc., Waltham, USA

  Agostino Abbate

• Department HHLA, IBM Corporation, Poughkeepsie, USA

  Casimer M. DeCusatis

• Department of Electrical and Computer Engineering, University of California, San Diego La Jolla, USA

  Pankaj K. Das

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