## Wavelets and Signal ProcessingThe mathematical theory of wavelet analysis and its applications have grown considerably over the past twenty years. Wavelet analysis is now an integral part of the solution to difficult problems in fields as diverse as signal processing, computer vision, data compression, pattern recognition, image processing, computer graphics, medical imaging, and defense technology. The present volume is an interdisciplinary digest of recent developments, open questions, and unsolved problems for future research in these rapidly growing areas. Written by mathematicians and engineers, the book is divided into two main parts: "Wavelets and Wavelet Transforms," and "Signal Processing and Time-Frequency Signal Analysis." Specific topics covered include: * Current developments of the mathematical theory of wavelet analysis to time-frequency signal analysis * Wavelet methods for analyzing and computing turbulent flows * Geometric multiscale analysis * Image processing methods in remote sensing * Digital image techniques in medicine * Wavelet-based data compression in signal processing * Wavelet-based algorthims for solving differential equations Rich in applications and methods, and complete with up-to-date bibliographies, this book is an excellent text/reference for advanced students, researchers, and practitioners in wavelets, wavelet transforms, signal processing and time-frequency signal analysis. Professionals working in electrical and computer engineering, applied mathematics, computer science, biomedical engineering, physics, optics, and fluid mechanics will also find the book a valuable resource. M. G. Amin P. Flandrin A. Papandreou-Suppappola F. Auger G.J. Frazer G. Pellegrino A. Azzalini C. Heil K.M. Ramachandran G. Battle R. Chandramouli P. Sansgiry A. Benassi F. Hlawatsch V. Sucic B. Boashash J. Istas G. Tauböck C.A. Cabrelli J.D. Lakey T. Twaroch E. Chassande-Mottin A. R. Lindsey Y. Zhang L. Cohen I. Mihaila J. Ziuber S.Cohen U.M. Molter S. Deguy M.C. Pereyra |

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### Contents

The Wavelet Transform and TimeFrequency Analysis | 3 |

Multiwavelets in Kn with an Arbitrary Dilation Matrix | 23 |

References | 38 |

References | 54 |

Appendix | 97 |

Wavelets for Statistical Estimation and Detection | 103 |

References | 130 |

Signal Processing and TimeFrequency Signal Analysis | 133 |

References | 228 |

References | 264 |

Theory and Applications | 269 |

TimeFrequency Processing of TimeVarying Signals with | 311 |

SelfSimilarity and Inter mi ttency | 361 |

Selective Thresholding in Wavelet Image Compression | 377 |

Coherent Vortex Simulation of Two and ThreeDimensional | 383 |

433 | |