Wavelet Applications in Engineering Electromagnetics
1st Edition
Published on 1. January 2001
372 pages
978-1-58053-800-8 (ISBN)
Description
Written from an engineering perspective, this unique resource describes the practical application of wavelets to the solution of electromagnetic field problems and in signal analysis with an even-handed treatment of the pros and cons. A key feature of this book is that the wavelet concepts have been described from the filter theory point of view that is familiar to researchers with an electrical engineering background. The book shows you how to design novel algorithms that enable you to solve electrically, large electromagnetic field problems using modest computational resources. It also provides you with new ideas in the design and development of unique waveforms for reliable target identification and practical radar signal analysis. The book includes more then 500 equations, and covers a wide range of topics, from numerical methods to signal processing aspects.
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Magdalena Salazar-Palma | Tapan Sarkar | Michael Wicks
Wavelet Application in Engineering Electromagnetics
Book
04/2002
Artech House Publishers
€147.07
Shipment within 10-20 days
Content
- Intro
- Contents v
- List of Figures ix
- List of Tables xv
- PREFACE xix
- ACKNOWLEDGMENTS xxi
- 1 ROAD MAP OF THE BOOK 1
- 1.1 INTRODUCTION 1
- 1.2 WHY USE WAVELETS? 1
- 1.3 WHAT ARE WAVELETS? 2
- 1.4 WHAT IS THE WAVELET TRANSFORM? 3
- 1.5 USE OF WAVELETS IN THE NUMERICAL SOLUTION OF ELECTROMAGNETIC FIELD PROBLEMS 4
- 1.6 WAVELET METHODOLOGIES COMPLEMENT FOURIER TECHNIQUES 7
- 1.7 OVERVIEW OF THE CHAPTERS 10
- REFERENCES 11
- 2 WAVELETS FROM AN ELECTRICAL ENGINEERING PERSPECTIVE 15
- 2.1 INTRODUCTION 15
- 2.2 DEVELOPMENT OF THE DISCRETE WAVELET METHODOLOGY FROM FILTER THEORY CONCEPTS 16
- 2.3 APPROXIMATION OF A FUNCTION BY WAVELETS 38
- 2.4 EXAMPLES 43
- 2.5 CONCLUSION 47
- REFERENCES 47
- APPENDIX 2A: Principles of Decimation and Expansion 48
- 3 APPLICATION OF WAVELETS IN THE SOLUTION OF OPERATOR EQUATIONS 53
- 3.1 INTRODUCTION 53
- 3.2 APPROXIMATION OF A FUNCTION BY WAVELETS 59
- 3.3 SOLUTION OF OPERATOR EQUATIONS 62
- 3.4 WAVELET BASIS IN THE SOLUTION OF INTEGRAL EQUATIONS 64
- REFERENCES 68
- 4 SOLVING MATRIX EQUATIONS USING THE WAVELET TRANSFORM 71
- 4.1 INTRODUCTION 71
- 4.2 IMPLEMENTION OF THE WAVELET-LIKE TRANSFORM BASED ON THE TENSOR PRODUCT 75
- 4.3 NUMERICAL EVALUATION OF THE WAVELET-LIKE TRANSFORM 80
- 4.4 SOLUTION OF LARGE DENSE COMPLEX MATRIX EQUATIONS... 92
- 4.5 UTILIZATION OF CUSTOM FIR FILTERS 102
- 4.6 CONCLUSION 131
- REFERENCES 132
- 5 SOLVING THE DIFFERENTIAL FORM OF MAXWELLT S EQUATIONS 135
- 5.1 INTRODUCTION 135
- 5.2 SOLUTION OF ONE-DIMENSIONAL PROBLEMS UTILIZING A WAVELET-LIKE BASIS 136
- 5.3 SOLUTION OF Ñ 2 U + k 2 U = F FOR TWO-DIMENSIONAL PROBLEMS UTILIZING A WAVELET-LIKE BASIS 142
- 5.4 APPLICATION TO SOME WAVEGUIDE PROBLEMS 146
- 5.5 CONCLUSION 155
- REFERENCES 155
- 6 ADAPTIVE MULTISCALE MOMENT METHOD 157
- 6.1 OVERVIEW 157
- 6.2 INTRODUCTION OF THE MULTISCALING METHODOLOGY 158
- 6.3 USE OF A MULTISCALE BASIS IN SOLVING INTEGRAL EQUATIONS VIA THE MOMENT METHOD (MM) 165
- 6.4 DIFFERENCES BETWEEN A MULTISCALE BASIS AND A SUBDOMAIN TRIANGULAR BASIS ON AN INTERVAL [0, L] 171
- 6.5 ANALYSIS OF ELECTROMAGNETIC SCATTERING FROM MATERIALLY COATED STRIPS 174
- 6.6 EXTENSION OF THE MULTISCALE CONCEPTS TO 2-D PROBLEMS 199
- 6.7 A TWO-DIMENSIONAL MULTISCALE BASIS ON A TRIANGULAR DOMAIN... 227
- 6.8 DISCUSSION 244
- 6.9 CONCLUSION 245
- REFERENCES 246
- 7 THE CONTINUOUS WAVELET TRANSFORM AND ITS RELATIONSHIP TO THE FOURIER TRANSFORM 247
- 7.1 INTRODUCTION 247
- 7.2 CONTINUOUS TRANSFORMS 248
- 7.3 DISCRETE TRANSFORMS 257
- 7.4 CONCLUSION 271
- REFERENCES 271
- 8 T-PULSE: WINDOWS THAT ARE STRICTLY TIME LIMITED AND PRACTICALLY BAND LIMITED 273
- 8.1 INTRODUCTION 273
- 8.2 A DISCUSSION ON VARIOUS CHOICES OF THE WINDOW FUNCTION 274
- 8.3 DEVELOPMENT OF THE T-PULSE 275
- 8.4 SUMMARY OF THE OPTIMIZATION TECHNIQUES 278
- 8.5 NUMERICAL RESULTS 280
- 8.6 CONCLUSION 293
- REFERENCES 293
- 9 OPTIMAL SELECTION OF A SIGNAL-DEPENDENT BASIS AND DENOISING 295
- 9.1 INTRODUCTION 295
- 9.2 SELECTION OF AN OPTIMUM BASIS 295
- 9.3 DENOISING OF SIGNALS THROUGH THE WAVELET TRANSFORM 301
- 9.4 CONCLUSION 303
- REFERENCES 304
- SELECTED BIBLIOGRAPHY 305
- BOOKS 305
- JOURNAL AND CONFERENCE PAPERS 306
- ABOUT THE AUTHORS 331
- Index 337
