## Wavelets and Signal ProcessingProvides a digest of the current developments, open questions and unsolved problems likely to determine a new frontier for future advanced study and research in the rapidly growing areas of wavelets, wavelet transforms, signal analysis, and signal and image processing. Ideal reference work for advanced students and practitioners in wavelets, and 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. |

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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 | |

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### Common terms and phrases

amplitude applications array auto-term blind source separation computed consider corresponding covariance property cross-terms de-noising defined delay shift covariance denotes dispersively warped dispersively warped affine dispersively warped Cohen's domain dual eigenfunctions enstrophy estimation example exponential class extended DF Figure fixed point frequency frequency-shift Gaussian given group delay shift Hilbert space hyperbolic class IEEE IEEE Trans impulse integration isomorphic iteration kernel filter Kth power linear matrix method noise obtained optimal parameter power class power exponential Proc quadratic quantization resolution performance Riesz basis satisfies scalogram self-similarity sensor short-time Fourier transform signal components Signal Processing simulation smoothed pseudo WD space spatial spectral spectrogram STFD Subsection TF point Theorem threshold time-frequency analysis time-frequency distributions time-frequency representations time-shift covariance turbulent flows unitary unitary representation vector field vorticity warped affine class warped Cohen's class warping operators wavelet coefficients wavelet transform Wigner distribution window