## Wavelets and Their ApplicationsContributions discuss signal analysis discrete-time signal processing, wavelets for Quincunx pyramid, transform maxima and multiscale edges, among other topics; numerical analysis; other applications the optical wave transform, continuous wavelet transform, quantum mechanics; and theoretical develop |

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### Contents

Introduction | 3 |

Wavelets and Filter Banks for DiscreteTime | 17 |

Wavelets for Quincunx Pyramid | 53 |

Copyright | |

16 other sections not shown

### Common terms and phrases

algorithm analysis applications approximation associated assume Banach spaces bases basis bounded characterized coding coefficients coherent structures complete compute consider constant construction convergence corresponding curves Daubechies decomposition defined denote derivative described dimensions direct discrete discussed dyadic edge energy equation equivalent estimate example exists expansions expression fact factor Figure filter banks finite fixed flow formula fractal frame frequency function given gives integral interval iterations lattice leads length limit linear localization Math Mathematics matrix maxima measure method Meyer Note numerical obtained operator orthogonal orthonormal basis particular phase Phys points positive present problem processing proof properties prove provides reconstruction refer regularity remark representation respect ridge sampling satisfies scale sequence shown signal singularities smooth solution space supported Theorem theory tion translates turbulence University wavelet transform zero