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Title Page               Chapter 1           Appendix A   Appendix J
Copyright                Chapter 2           Appendix B   Appendix K
Abstract                 Chapter 3           Appendix C   Appendix L
Acknowledgements         Chapter 4           Appendix D   References
Table of Contents        Chapter 5           Appendix E
List of Figure           Conclusions/        Appendix F
List of Tables           Future Directions   Appendix G
List of Audio Examples                       Appendix H
List of Programs                             Appendix I

This thesis has provided a foundation for further studies in wavelet-based audio signal processing for musical purposes. Wavelet-based denoising, excitation, and equalization algorithms have been proposed, implemented, and tested. The excitation and equalization algorithms work best for percussive types of sounds, while the denoising algorithms work best for voice-based sounds.

Because of the flexibility and adaptability of wavelet analysis and resynthesis, the outlook for wavelet-based sound synthesis is also promising. For example, a sound synthesis algorithm which uses wavelets as a waveshaping control mechanism is an interesting idea into which the author is planning research:

Nonetheless, significant challenges still remain to be addressed before wavelet-based signal processing can be widely used for creative purposes. The boundary problem for continuous signals must be addressed in a more rigorous manner, so that the clicks heard in many of the audio examples are eliminated. Furthermore, a pre-filtering of the original sound and a post-filtering of the processed sound would also lead to less aliasing in all of the algorithms (Strang 232).

In conclusion, wavelet analysis is a powerful analysis/resynthesis method for audio which promises to become a significant tool for future scientists and musicians in electro-acoustic music.

Go to:
Title Page               Chapter 1           Appendix A   Appendix J
Copyright                Chapter 2           Appendix B   Appendix K
Abstract                 Chapter 3           Appendix C   Appendix L
Acknowledgements         Chapter 4           Appendix D   References
Table of Contents        Chapter 5           Appendix E
List of Figure           Conclusions/        Appendix F
List of Tables           Future Directions   Appendix G
List of Audio Examples                       Appendix H
List of Programs                             Appendix I