Fundamentals of Wavelets: Theory, Algorithms, and Applications, Second Edition (Wiley Series in Microwave and Optical Engineering)

380 Pages·2011·21.1 MB·English

by  Jaideva C. Goswami

WILEY SERIES IN MICROWAVE AND OPTICAL ENGINEERING
KAI CHANG, Editor
Texas A& M University
FIBER - OPTIC COMMUNICATION SYSTEMS, Fourth Edition (cid:129) Govind P. Agrawal
ASYMMETRIC PASSIVE COMPONENTS IN MICROWAVE INTEGRATED CIRCUITS (cid:129)
Hee - Ran Ahn
COHERENT OPTICAL COMMUNICATIONS SYSTEMS (cid:129) Silvello Betti, Giancarlo De Marchis,
and Eugenio Iannone
PHASED ARRAY ANTENNAS: FLOQUET ANALYSIS, SYNTHESIS, BFNs, AND AC TIVE ARRAY
SYSTEMS (cid:129) Arun K. Bhattacharyya
HIGH - FREQUENCY ELECTROMAGNETIC TECHNIQUES: RECENT ADVANCES AND
APPLICATIONS (cid:129) A soke K. Bhattacharyya
RADIO PROPAGATION AND ADAPTIVE ANTENNAS FOR WIRELESS COMMUNICATION
LINKS: TERRESTRIAL, ATMOSPHERIC, AND IONOSPHERIC (cid:129) Nathan Blaunstein and
Christos G. Christodoulou
COMPUTATIONAL METHODS FOR ELECTROMAGNETICS AND MICROWAVES (cid:129)
Richard C. Booton, Jr.
ELECTROMAGNETIC SHIELDING (cid:129) Salvatore Celozzi, Rodolfo Araneo, and Giampiero Lovat
MICROWAVE RING CIRCUITS AND ANTENNAS (cid:129) Kai Chang
MICROWAVE SOLID- STATE CIRCUITS AND APPLICATIONS (cid:129) Kai Chang
RF AND MICROWAVE WIRELESS SYSTEMS (cid:129) Kai Chang
RF AND MICROWAVE CIRCUIT AND COMPONENT DESIGN FOR WIRELESS SYSTEMS (cid:129)
Kai Chang, Inder Bahl, and Vijay Nair
MICROWAVE RING CIRCUITS AND RELATED STRUCTURES, Second Edition (cid:129) Kai Chang and
Lung - Hwa Hsieh
MULTIRESOLUTION TIME DOMAIN SCHEME FOR ELECTROMAGNETIC ENGINEERING (cid:129)
Y inchao Chen, Qunsheng Cao, and Raj Mittra
DIODE LASERS AND PHOTONIC INTEGRATED CIRCUITS (cid:129) Larry Coldren and Scott Corzine
EM DETECTION OF CONCEALED TARGETS (cid:129) David J. Daniels
RADIO FREQUENCY CIRCUIT DESIGN (cid:129) W. Alan Davis and Krishna Agarwal
RADIO FREQUENCY CIRCUIT DESIGN, Second Edition (cid:129) W. Alan Davis
MULTICONDUCTOR TRANSMISSION- LINE STRUCTURES: MODAL ANALYSIS TECHNIQUES
(cid:129) J. A. Brand ã o Faria
PHASED ARRAY - BASED SYSTEMS AND APPLICATIONS (cid:129) Nick Fourikis
SOLAR CELLS AND THEIR APPLICATIONS, Second Edition (cid:129) Lewis M. Fraas and
Larry D. Partain
FUNDAMENTALS OF MICROWAVE TRANSMISSION LINES (cid:129) Jon C. Freeman
OPTICAL SEMICONDUCTOR DEVICES (cid:129) Mitsuo Fukuda
MICROSTRIP CIRCUITS (cid:129) Fred Gardiol
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HIGH - SPEED VLSI INTERCONNEC TIONS, Second Edition (cid:129) Ashok K. Goel
FUNDAMENTALS OF WAVELETS: THEORY, ALGORITHMS, AND APPLICATIONS,
Second Edition (cid:129) J aideva C. Goswami and Andrew K. Chan
HIGH - FREQUENCY ANALOG INTEGRATED CIRCUIT DESIGN (cid:129) Ravender Goyal (ed.)
ANALYSIS AND DESIGN OF INTEGRATED CIRCUIT ANTENNA MODULES (cid:129) K. C. Gupta and
Peter S. Hall
PHASED ARRAY ANTENNAS, Second Edition (cid:129) R. C. Hansen
STRIPLINE CIRCULATORS (cid:129) Joseph Helszajn
THE STRIPLINE CIRCULATOR: THEORY AND PRACTICE (cid:129) Joseph Helszajn
LOCALIZED WAVES (cid:129) Hugo E. Herná ndez - Figueroa, Michel Zamboni- Rached, and Erasmo
Recami (eds.)
MICROSTRIP FILTERS FOR RF/MICROWAVE APPLICATIONS (cid:129) Jia - Sheng Hong and
M. J. Lancaster
MICROWAVE APPROACH TO HIGHLY IRREGULAR FIBER OPTICS (cid:129) Huang Hung- Chia
NONLINEAR OPTICAL COMMUNICATION NETWORKS (cid:129) Eugenio Iannone, Francesco Matera,
Antonio Mecozzi, and Marina Settembre
FINITE ELEMENT SOFTWARE FOR MICROWAVE ENGINEERING (cid:129) Tatsuo Itoh, Giuseppe Pelosi,
and Peter P. Silvester (eds.)
INFRARED TECHNOLOGY: APPLICATIONS TO ELECTROOPTICS, PHOTONIC DEVICES,
AND SENSORS (cid:129) A. R. Jha
SUPERCONDUCTOR TECHNOLOGY: APPLICATIONS TO MICROWAVE, ELEC TRO- OPTICS,
ELECTRICAL MACHINES, AND PROPULSION SYSTEMS (cid:129) A. R. Jha
TIME AND FREQUENCY DOMAIN SOLUTIONS OF EM PROBLEMS USING INTEGTRAL
EQUATIONS AND A HYBRID METHODOLOGY (cid:129) B. H. Jung, T. K. Sarkar, S. W. Ting,
Y. Zhang, Z. Mei, Z. Ji, M. Yuan, A. De, M. Salazar - Palma, and S. M. Rao
OPTICAL COMPUTING: AN INTRODUCTION (cid:129) M. A. Karim and A. S. S. Awwal
INTRODUCTION TO ELEC TROMAGNETIC AND MICROWAVE ENGINEERING (cid:129)
Paul R. Karmel, Gabriel D. Colef, and Raymond L. Camisa
MILLIMETER WAVE OPTICAL DIELECTRIC INTEGRATED GUIDES AND CIRCUITS (cid:129)
Shiban K. Koul
ADVANCED INTEGRATED COMMUNICATION MICROSYSTEMS (cid:129) Joy Laskar,
Sudipto Chakraborty, Manos Tentzeris, Franklin Bien, and Anh - Vu Pham
MICROWAVE DEVICES, CIRCUITS AND THEIR INTERACTION (cid:129) Charles A. Lee and
G. Conrad Dalman
ADVANCES IN MICROSTRIP AND PRINTED ANTENNAS (cid:129) Kai - Fong Lee and Wei Chen (eds.)
SPHEROIDAL WAVE FUNCTIONS IN ELEC TROMAGNETIC THEORY (cid:129) Le - Wei Li,
Xiao - Kang Kang, and Mook - Seng Leong
ARITHMETIC AND LOGIC IN COMPUTER SYSTEMS (cid:129) Mi Lu
OPTICAL FILTER DESIGN AND ANALYSIS: A SIGNAL PROCESSING APPROACH (cid:129)
Christi K. Madsen and Jian H. Zhao
THEORY AND PRACTICE OF INFRARED TECHNOLOGY FOR NONDESTRUCTIVE TESTING (cid:129)
Xavier P. V. Maldague
METAMATERIALS WITH NEGATIVE PARAMETERS: THEORY, DESIGN, AND MICROWAVE
APPLICATIONS (cid:129) R icardo Marqué s , Ferran Mart í n, and Mario Sorolla
OPTOELECTRONIC PACKAGING (cid:129) A. R. Mickelson, N. R. Basavanhally, and Y. C. Lee (eds.)
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OPTICAL CHARACTER RECOGNITION (cid:129) Shunji Mori, Hirobumi Nishida, and
Hiromit su Yamada
ANTENNAS FOR RADAR AND COMMUNICATIONS: A POLARIMETRIC APPROACH (cid:129)
Harold Mott
INTEGRATED ACTIVE ANTENNAS AND SPATIAL POWER COMBINING (cid:129) Julio A. Navarro
and Kai Chang
ANALYSIS METHODS FOR RF, MICROWAVE, AND MILLIMETER- WAVE PLANAR
TRANSMISSION LINE STRUCTURES (cid:129) Cam Nguyen
LASER DIODES AND THEIR APPLICATIONS TO COMMUNICATIONS AND INFORMATION
PROCESSING (cid:129) T akahiro Numai
FREQUENCY CONTROL OF SEMICONDUCTOR LASERS (cid:129) Motoichi Oht su (ed.)
WAVELETS IN ELEC TROMAGNETICS AND DEVICE MODELING (cid:129) G eorge W. Pan
OPTICAL SWITCHING (cid:129) Georgios Papadimitriou, Chrisoula Papazoglou, and
Andreas S. Pomportsis
MICROWAVE IMAGING (cid:129) Matteo Pastorino
ANALYSIS OF MULTICONDUCTOR TRANSMISSION LINES (cid:129) Clayton R. Paul
INTRODUCTION TO ELECTROMAGNETIC COMPATIBILITY, Second Edition (cid:129)
Clayton R. Paul
ADAPTIVE OPTICS FOR VISION SCIENCE: PRINCIPLES, PRACTICES, DESIGN AND
APPLICATIONS (cid:129) J ason Porter, Hope Queener, Julianna Lin, Karen Thorn, and Abdul Awwal
(eds.)
ELECTROMAGNETIC OPTIMIZATION BY GENETIC ALGORITHMS (cid:129) Yahya Rahmat - Samii and
Eric Michielssen (eds.)
INTRODUCTION TO HIGH - SPEED ELEC TRONICS AND OPTOELECTRONICS (cid:129)
Leonard M. Riaziat
N EW FRONTIERS IN MEDICAL DEVICE TECHNOLOGY (cid:129) Arye Rosen and Harel Rosen (eds.)
ELECTROMAGNETIC PROPAGATION IN MULTI- MODE RANDOM MEDIA (cid:129)
Harrison E. Rowe
ELECTROMAGNETIC PROPAGATION IN ONE- DIMENSIONAL RANDOM MEDIA (cid:129)
Harrison E. Rowe
HISTORY OF WIRELESS (cid:129) Tapan K. Sarkar, Robert J. Mailloux, Arthur A. Oliner,
Magdalena Salazar - Palma, and Dipak L. Sengupta
PHYSICS OF MULTIANTENNA SYSTEMS AND BROADBAND PROCESSING (cid:129) Tapan K. Sarkar,
Magdalena Salazar - Palma, and Eric L. Mokole
SMART ANTENNAS (cid:129) Tapan K. Sarkar, Michael C. Wicks, Magdalena Salazar- Palma, and
Robert J. Bonneau
NONLINEAR OPTICS (cid:129) E. G. Sauter
APPLIED ELECTROMAGNETICS AND ELECTROMAGNETIC COMPATIBILITY (cid:129)
Dipak L. Sengupta and Valdis V. Liepa
COPLANAR WAVEGUIDE CIRCUITS, COMPONENTS, AND SYSTEMS (cid:129) R ainee N. Simons
ELECTROMAGNETIC FIELDS IN UNCONVENTIONAL MATERIALS AND STRUCTURES (cid:129)
Onkar N. Singh and Akhlesh Lakhtakia (eds.)
ANALYSIS AND DESIGN OF AUTONOMOUS MICROWAVE CIRCUITS (cid:129) Almudena Suá rez
ELECTRON BEAMS AND MICROWAVE VACUUM ELECTRONICS (cid:129) Shulim E. Tsimring
FUNDAMENTALS OF GLOBAL POSITIONING SYSTEM RECEIVERS: A SOFTWARE
APPROACH, Second Edition (cid:129) James Bao - yen Tsui
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RF/MICROWAVE INTERACTION WITH BIOLOGICAL TISSUES (cid:129) André Vander Vorst,
Arye Rosen, and Youji Kotsuka
InP - BASED MATERIALS AND DEVICES: PHYSICS AND TECHNOLOGY (cid:129) Osamu Wada and
Hideki Hasegawa (eds.)
COMPACT AND BROADBAND MICROSTRIP ANTENNAS (cid:129) Kin- Lu Wong
DESIGN OF NONPLANAR MICROSTRIP ANTENNAS AND TRANSMISSION LINES (cid:129)
Kin - Lu Wong
PLANAR ANTENNAS FOR WIRELESS COMMUNICATIONS (cid:129) Kin - Lu Wong
FREQUENCY SELECTIVE SURFACE AND GRID ARRAY (cid:129) T. K. Wu (ed.)
ACTIVE AND QUASI - OPTICAL ARRAYS FOR SOLID- STATE POWER COMBINING (cid:129)
Robert A. York and Zoya B. Popovi c´ (eds.)
OPTICAL SIGNAL PROCESSING, COMPUTING AND NEURAL NETWORKS (cid:129) Francis T. S. Yu
and Suganda Jutamulia
ELECTROMAGNETIC SIMULATION TECHNIQUES BASED ON THE FDTD METHOD (cid:129)
Wenhua Yu, Xiaoling Yang, Yongjun Liu, and Raj Mittra
SiGe, GaAs, AND InP HETEROJUNCTION BIPOLAR TRANSISTORS (cid:129) Jiann Yuan
PARALLEL SOLUTION OF INTEGRAL EQUATION- BASED EM PROBLEMS (cid:129) Yu Zhang and
Tapan K. Sarkar
ELECTRODYNAMICS OF SOLIDS AND MICROWAVE SUPERCONDUCTIVITY (cid:129)
Shu - Ang Zhou
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Fundamentals of
Wavelets
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WILEY SERIES IN MICROWAVE AND OPTICAL ENGINEERING
KAI CHANG, Editor
Texas A&M University
A complete list of the titles in this series appears at the end of this volume.
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Fundamentals of
Wavelets
Theory, Algorithms,
and Applications
Second Edition
JAIDEVA C. GOSWAMI
ANDREW K. CHAN
JOHN WILEY & SONS, INC., PUBLICATION
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Copyright © 2011 by John Wiley & Sons, Inc. All rights reserved
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Library of Congress Cataloging-in-Publication Data:
Goswami, Jaideva C.
Fundamentals of wavelets : theory, algorithms, and applications / Jaideva C. Goswami,
Andrew K. Chan.—2nd ed.
p. cm.—(Wiley series in microwave and optical engineering; 219)
ISBN 978-0-470-48413-5 (hardback)
1. Wavelets (Mathematics) 2. Image processing–Mathematics. 3. Electromagnetic waves–
Scattering–Mathematical models. 4. Boundary value problems. I. Chan, Andrew K.
II. Title.
TK5102.9.G69 2010
621.301′5152433—dc22
2010025495
Printed in the United States of America
10 9 8 7 6 5 4 3 2 1
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To
Shrimati Sati and Shri Chandra Nath Goswami
— Jaideva C. Goswami
My Lord Jesus Christ from whom I received wisdom and knowledge
and
my wife, Sophia, for her support and encouragement
— Andrew K. Chan
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