PhD Qualifying Examination


"Application of Principal Components Analysis to Multiple Wavetable
Synthesis of Musical Instrument Tones"


By Mr. Cheuk-Wai Wun


Abstract:

Multiple wavetable synthesis [1] is an efficient synthesis technique based
on the addition of a number of fixed waveforms with time-varying weights.
Matching synthesis starts with a time-varying spectral analysis of the
original sound.  Next, the synthesis parameters that produce the "best"
match of the original spectrum are determined.  Finally, the sound is
resynthesized using the matched parameters.

This document summarizes two applications of principal components analysis
(PCA), among other main matching techniques for multiple wavetable
synthesis of musical instrument tones. Theoretical background on PCA as
well as weighted PCA is presented. Moreover, it introduces how weighted
PCA is applied to basis spectra determination, with some preliminary
results.


Date:     		Wednesday, 15 January 2003

Time:                   10:00a.m.-12:00noon

Venue:                  Room 3006
			lift 3

Committee Members:      Dr. Andrew Horner (Supervisor)
                        Dr. Brian Mak (Chairman)
			Dr. Lydia Ayers
			Dr. David Rossiter


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