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Wavelet Basics Book

Wavelet Basics
Wavelet Basics, Since the study of wavelets is a relatively new area, much of the research coming from mathematicians, most of the literature uses terminology, concepts and proofs that may, at times, be difficult and intimidating for the engineer. Wavelet Basics has ther, Wavelet Basics has a rating of 3 stars
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Wavelet Basics, Since the study of wavelets is a relatively new area, much of the research coming from mathematicians, most of the literature uses terminology, concepts and proofs that may, at times, be difficult and intimidating for the engineer. Wavelet Basics has ther, Wavelet Basics
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  • Wavelet Basics
  • Written by author Y. T. Chan
  • Published by Springer-Verlag New York, LLC, January 1995
  • Since the study of wavelets is a relatively new area, much of the research coming from mathematicians, most of the literature uses terminology, concepts and proofs that may, at times, be difficult and intimidating for the engineer. Wavelet Basics has ther
  • Since the study of wavelets is a relatively new area, much of the research coming from mathematicians, most of the literature uses terminology, concepts and proofs that may, at times, be difficult and intimidating for the engineer. Wavelet Basics has
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Preface
1Introduction1
1.1Signal Transformation1
1.2Orthogonal Transform4
1.3Frames in Vector Space8
1.4Time-Frequency Analysis13
1.5Applications of Time-Frequency Analysis20
2Principles of the Wavelet Transform23
2.2The Continuous Wavelet Transform32
2.3Discrete Parameter Wavelet Transform39
Appendix A - Resolution of the Identity50
3Multiresolution Analysis, Wavelets and Digital Filters53
3.2The DPWT and MRA55
3.3Principles of MRA63
3.4Filters for Perfect Reconstruction74
3.5Paraunitary Filters and Orthonormal Wavelets83
3.6Filter Design for Orthonormal Wavelets89
3.7Biorthogonal Filters91
3.8Wavelet Construction from Two-Scale Equations94
3.9Two Dimensional Wavelets101
Appendix B - Theorem for Convergence of [Phi]([omega])103
Appendix C - Solution of a Polynomial in cos([omega])108
4Current Topics111
4.1Wavelet Packets111
4.2Discrete Time Wavelet Transform113
4.3Signal Processing Applications120
References125
Index131


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Wavelet Basics, Since the study of wavelets is a relatively new area, much of the research coming from mathematicians, most of the literature uses terminology, concepts and proofs that may, at times, be difficult and intimidating for the engineer. Wavelet Basics has ther, Wavelet Basics

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