I Wavelets and Wavelet Transforms -- 1 The Wavelet Transform and Time-Frequency Analysis -- 2 Multiwavelets in ?n with an Arbitrary Dilation Matrix -- 3 On the Nonexistence of Certain Divergence-free Multiwavelets -- 4 Osiris Wavelets and Isis Variables -- 5 Wavelets for Statistical Estimation and Detection -- II Signal Processing and Time-Frequency Signal Analysis 133 -- 6 High Performance Time-Frequency Distributions for Practical Applications -- 7 Covariant Time-Frequency Analysis -- 8 Time-Frequency/Time-Scale Reassignment -- 9 Spatial Time-Frequency Distributions: Theory and Applications -- 10 Time-Frequency Processing of Time-Varying Signals with Nonlinear Group Delay -- 11 Self-Similarity and Intermittency -- 12 Selective Thresholding in Wavelet Image Compression -- 13 Coherent Vortex Simulation of Two-and Three-Dimensional Turbulent Flows Using Orthogonal Wavelets