Description: I Introduction to Wavelet Transformation and Time Frequency Analysis.- 1. General Introduction.- 2. Time Frequency Distributions.- 3. Fourier Transform and Short-Time Fourier Transform.- 4. Wavelet Theory.- 5. Conclusion.- 6. References.- II Computational Aspects of Wavelets And Wavelet Transforms.- 1. Introduction.- 2. Wavelets - Classification and Properties.- 3. Wavelet Transformation.- 4. Graphical Display of the Wavelet Transformation.- 5. Other Public Domain Wavelet Software.- 6. Concluding Remarks.- 7. Notation.- 8. References.- 9. Appendix I: Matlab Routines for Discrete Wavelet Transformation.- III Trend Analysis Using the Frazier-Jawerth Transform.- 1. Introduction.- 2. Background.- 3. Terminology.- 4. The FJ Decomposition and the FJT.- 5. Example.- 6. FJT Algorithms.- 7. On-line Implementation of the FJT.- 8. Conclusions.- 9. Acknowledgment.- 10. References.- IV Process Signal Features Analysis.- 1. Introduction.- 2. Signal Patterns on the Phase Plane.- 3. Signal Dependent Basis.- 4. Application Examples.- 5. Conclusion.- 6. References.- V Learning at Multiple Resolutions: Wavelets as Basis Functions in Artificial Neural Networks and Inductive Decision Trees.- 1. Introduction.- 2. Learning and Approximation Theory.- 3. Multi-Resolution Functional Approximation Using Wavelets.- 4. Theory of Wave-Nets.- 5. Extracting Rules from Wave-Nets.- 6. Conclusions and Discussion.- 7. References.- VI Application of Wavelets in Process Control.- 1. Introduction.- 2. Wavelets: A Process Control Perspective.- 3. Model Predictive Control: A Wavelet Domain Solution.- 4. Conclusions.- 5. References.- VII Use of Wavelets For Numerical Solution of Differential Equations.- 1. Introduction.- 2, Multiresolution Analysis.- 3. Wavelet Bases.- 4. Wavelet-Galerkin Method.- 5. Two-ScaleMethods.- 6. The Laplace Transform Wavelet Methods.- 7. Discussion.- 8. Conclusions.- 9. References.- VIII A Parallel Two-Dimensional Wavelet Packet Transform and Some Applications in Computing and Compression Analysis.- 1. Introduction.- 2. Parallel Wavelet Packet Decomposition.- 3. Parallel Wavelet Packet Best Basis Selection.- 4. Parallel Wavelet Packet Reconstruction.- 5. Parallel Matrix-Vector Multiplication in the Wavelet Packet Basis Expansion.- 6. Applications of the Wavelet Packet Transform to the Compression and Analysis of a Two-Dimensional Turbulent Flow.- 7. Acknowledgment.- 8. References.- 9. Annexes: Algorithms Written in Pseudo-Code.

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