Introduction to Wavelet Transforms

Table of Contents



Preface



List of Symbols



Greek Symbols



Part I. Basics of Wavelet Transforms.



Introduction to Wavelets



Continuous Wavelet Transform



Discrete Wavelet Transform



Daubechies Wavelets



Some Examples of Wavelets.



Applications



Part II. Intermediate Topics.



Periodic Wavelet Transform



Biorthogonal Wavelet Transform



Coiflets



The Lifting Technique



Wavelet Packets



Lapped Orthogonal Transform.



Part III. Signal Processing.



Discrete Fourier Transform



The z-Transform and Discrete-Time Fourier Transform



Elements of Continuous-Time Signal Processing



Elements of Discrete-Time Signal Processing



Part IV. Mathematical Concepts



Set-Theoretic Concepts and Number Theory



Matrices and Determinants



Applied Analysis



Fourier Theory



Probability Theory and Stochastic Processes



References



Index

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Cumulative Distribution Function;Discrete Time Fourier Transform;Wavelet Transform;Mexican Hat Wavelet;Short Time Fourier Transform;Wavelet Packet;Discrete Time Signal Processing;Morlet Wavelet;Haar Wavelet;Discrete Wavelet Transform;Mother Wavelet Function;Discrete Fourier Transform;Chinese Remainder Theorem;Wavelet Function;Band Stop Filter;Daubechies Wavelets;Scaling Function;Greatest Common Divisor;Euclidean Algorithm;Mother Wavelet;Continuous Wavelet Transform;Laurent Polynomials;Wavelet Packet Transformation;Wavelet Neural Networks;Cost Functional