A Primer on Wavelets and Their Scientific Applications

Front Cover
CRC Press, Jan 1, 2002 - Mathematics - 168 pages
1 Review
The rapid growth of wavelet applications-speech compression and analysis, image compression and enhancement, and removing noise from audio and images-has created an explosion of activity in creating a theory of wavelet analysis and applying it to a wide variety of scientific and engineering problems. It becomes important, then, that engineers and scientists have a working understanding of wavelets. Until now, however, the study of wavelets has been beyond the mathematical grasp of many who need this understanding. Most treatments of the subject involve ideas from functional analysis, harmonic analysis, and other difficult mathematical techniques.

Wavelets and their Scientific Applications offers an introduction to wavelet analysis without mathematical rigor, requiring only algebra and some very basic calculus. The author stresses applications, and explains, using elementary algebra, how wavelet methods are typically applied in analyzing digital data.

Software is available for download through CRC's Website that will enable recording, playing, and modifying sound files, and includes a facility for displaying, printing and modifying IEEE gray field images. Unlike other software packages for wavelet analysis, the author developed this attractive, easy-to-use software without the need for a C++ compiler or MATLABä. Throughout the book the author provides numerous suggestions for computer experiments designed to challenge and enhance the reader's comprehension and provide practice in applying the concepts learned.

Wavelets and their Scientific Applications thus provides the perfect vehicle for understanding wavelets and their uses. It provides a fast-track learning opportunity for scientists and mathematicians unfamiliar with wavelet concepts and applications, and it is ideal for anyone without an extensive mathematical background.
 

What people are saying - Write a review

User Review - Flag as inappropriate

This is a great introduction to wavelets. Things are kept fairly simple, so it's good for getting an idea of how wavelets work and are used, but after reading this you probably still won't be able to read many of the other wavelet books since the math in them gets very heavy.

Contents

Haar Wavelets 11 The Haar transform
1
12 Conservation and compaction of energy
6
13 Haar wavelets
10
14 Multiresolution analysis
13
15 Compression of audio signals
18
16 Removing noise from audio signals
23
17 Notes and references
28
Daubechies wavelets 21 The Daub4 wavelets
29
Frequency analysis 31 Discrete Fourier analysis
95
32 Definition of the DFT and its properties
98
33 Frequency description of wavelet analysis
103
34 Correlation and feature detection
108
35 Object detection in 2D images
114
36 Creating scaling signals and wavelets
118
37 Notes and references
122
Beyond wavelets 41 Wavelet packet transforms
123

22 Conservation and compaction of energy
38
23 Other Daubechies wavelets
42
24 Compression of audio signals
49
25 Quantization entropy and compression
53
26 Denoising audio signals
58
27 Twodimensional wavelet transforms
65
28 Compression of images
72
29 Fingerprint compression
75
210 Denoising images
79
211 Some topics in image processing
87
212 Notes and references
92
42 Applications of wavelet packet transforms
126
43 Continuous wavelet transforms
129
44 Gabor wavelets and speech analysis
134
45 Notes and references
138
Software for wavelet analysis
139
A1 Description of the books software
140
A2 Installing the books software A3 Other software
142
References
145
Index
151
Copyright

Other editions - View all

Common terms and phrases

References to this book

All Book Search results »

Bibliographic information