Time-Frequency Distribution of Music based on Sparse Wavelet Packet Representations

Line Ørtoft Endelt

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Abstract

We introduce a new method for generating time-frequency distributions, which is particularly useful for the analysis of music signals. The method presented here is based on $\ell1$ sparse representations of music signals in a redundant wavelet packet dictionary. The representations are found using the minimization methods basis pursuit and best orthogonal basis. Visualizations of the time-frequency distribution are constructed based on a simplified energy distribution in the wavelet packet decomposition. The time-frequency distributions emphasizes structured musical content, including non-stationary content, by masking the energy from less structured music instruments. We present four examples for visualizing structured content, including vocal and single instrument.
Original languageEnglish
Place of PublicationAalborg
PublisherDepartment of Control Engineering, Aalborg University
Number of pages8
Publication statusPublished - 2005

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