## Wavelets: Algorithms and Applications |

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### Contents

Wavelets From a Historical Perspective | 13 |

Quadrature Mirror Filters | 33 |

Pyramid Algorithms for Numerical Image Processing | 45 |

Copyright | |

7 other sections not shown

### Common terms and phrases

analytic signal atomic decompositions basis for L2(R belongs Brownian motion Burt and Adelson calculation Chapter choice compact support compression computed construct corresponding counterexample Daubechies Daubechies's defined denote differentiable dyadic intervals example finite energy fluctuations Fourier analysis Fourier transform fractal function p(x Gabor wavelets Galand galaxies grid Haar system Hardy space Hilbert space image processing infinity instantaneous frequency integral ip(t ip(x Lemma linear Mallat Mallat's algorithm Malvar wavelets Marr mathematics multifractal multifractal structure multiresolution analysis ondelettes operators Rj optimal orthogonal pyramids orthonormal basis orthonormal wavelet basis partition precise problem properties pyramid algorithms quadrature mirror filters quantization reconstruction regular representation Riemann function Riesz basis sampled satisfied scale Schauder basis segmentation sequence signal f(t signal processing subband coding subspace synthesis theory time-frequency atoms time-frequency plane time-scale trend turbulence two-dimensional values wavelet analysis wavelet bases wavelet coefficients wavelet packets wavelet transform Wigner-Ville transform wn(x zero zero-crossings