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Nonlinearities and Synchronization in Musical Acoustics and Music PsychologyFrequency Representations

Nonlinearities and Synchronization in Musical Acoustics and Music Psychology: Frequency... [Many kinds of Wavelets are used to investigate different kinds of data series (Mallat 2009). Still all are based on the same ground of the scaling law and the possibility of free spacing. Wavelets can be placed arbitrarily in a time series at any place, and therefore differ from a Fourier Transform which always needs to be performed between the two boundaries of the time series. Therefore Wavelets may have any frequency with arbitrary precision, which again differs from Fourier Transforms which need to be multiples of the fundamental frequency of the series length.] http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png

Nonlinearities and Synchronization in Musical Acoustics and Music PsychologyFrequency Representations

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Publisher
Springer Berlin Heidelberg
Copyright
© Springer-Verlag Berlin Heidelberg 2013
ISBN
978-3-642-36097-8
Pages
13 –56
DOI
10.1007/978-3-642-36098-5_2
Publisher site
See Chapter on Publisher Site

Abstract

[Many kinds of Wavelets are used to investigate different kinds of data series (Mallat 2009). Still all are based on the same ground of the scaling law and the possibility of free spacing. Wavelets can be placed arbitrarily in a time series at any place, and therefore differ from a Fourier Transform which always needs to be performed between the two boundaries of the time series. Therefore Wavelets may have any frequency with arbitrary precision, which again differs from Fourier Transforms which need to be multiples of the fundamental frequency of the series length.]

Published: Jan 1, 2013

Keywords: Wavelet Transform; Integration Path; Musical Instrument; Frequency Representation; Microphone Array

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