## Wavelets and their applications, Part 3 |

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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 analyzing wavelet applications approximation Argoul asymptotic atomic decomposition Besov spaces bounded characterized coding coherent structures Coifman compactly supported compute construction convergence corresponding Daubechies defined denote diagonal dilation dimensional dimensions discrete dyadic wavelet transform edge equation equivalent example expansions factor Farge Figure filter banks finite formula Fourier transform fractal fractal dimensions frequency function spaces given Haar Hilbert space IEEE Trans integral interval inverse iterations kernel lattice Lemma Lipschitz M-curve Mallat Math Mathematics matrix maxima Meyer modulation multiresolution analysis multiscale norm numerical obtained Ondelettes operator orthogonal orthonormal basis paraunitary perfect reconstruction Phys points properties quadratic form quadrature mirror filters quincunx quincunx pyramid renormalization group representation ridge sampling satisfies Section sequence sharp variation signal processing singularities smooth solution sparse spline subspace Theorem theory tion turbulence two-dimensional vector Vetterli vorticity wavelet analysis wavelet bases wavelet coefficients wavelet packets zero