Subject: [linux-audio-dev] Wavelets and Audio
From: George Tzanetakis (gtzan_AT_cs.princeton.edu)
Date: Tue Aug 06 2002 - 03:40:39 EEST
Regarding the Wavelet transform and Wavelet packets they have
been applied to audio in various forms. However
wavelets in audio haven't had the success they had with images.
The discrete wavelet transform can provide a fast way
to compute an octave decomposition that can be used
for analysis tasks such as transient detection,
feature extraction, and beat detection. Using
the DWT reduces significantly the computation
time compared with a similar filterbank implementation
without any multiresolution.
I have successfully used wavelets for beat detection and
feature extraction from audio signals. You can check
the details in the following publications:
"Musical Genre Classification of Audio Signals", George Tzanetakis,
Perry Cook IEEE Transactions on Speech and Audio Processing, July 2002
3."Audio Analysis using the Discrete Wavelet Transform ", George
Tzanetakis, Georg Essl, Perry Cook n. Proc. WSES Int. Conf. Acoustics
and Music: Theory and Applications (AMTA 2001) Skiathos, Greece 2001
(available online at www.cs.princeton.edu/~gtzan/publications.html)
Other applications are in computer music synthesis
and audio compression.
Some references about the use of wavelets in audio are:
Kronland-Martinet R., Morlet J., Grossmann A. "Analysis of sound
patterns through wavelet transforms" Int. Journal of Pattern Recognition
and Artificial
Intelligence, vol. 1, pp.273-302, 1987.
Panos Kudumakis and Mark Sandler,"On the usage of Short Wavelets for
Scalable Audio Coding" in Proc. SPIE: WAVELET APPLICATIONS IN SIGNAL AND
IMAGE PROCESSING, San Diego, CA, USA, 25 July - 1 Aug, 1997.
G. Evangelista, "Pitch Synchronous Wavelet Representations of Speech and
Music Signals," IEEE Transactions on Signal Processing, special issue on
Wavelets and Signal
Processing, vol. 41, no. 12, pp. 3313-3330, Dec. 1993.
G. Evangelista, "Wavelet Representations of Musical Signals," in Musical
Signal Processing, A. Piccialli, G. De Poli, C. Roads and S. T. Pope,
Eds. 1997, pp. 127-153, Swets
& Zeitlinger, Amsterdam, Holland.
Wickerhauser, M.V. (1989). Acoustic signal compression with wave
packets. In Wavelets: A Tutorial in Theory and Applications (ed. C.K.
Chui), 679-691. Academic Press, New York.
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