Wavelets for Sparse Representation of Music

Line Ørtoft Endelt, Anders La-Cour Harbo

Research output: Contribution to book/anthology/report/conference proceedingArticle in proceedingResearchpeer-review

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Abstract

We are interested in obtaining a sparse representation of music signals by means of a discrete wavelet transform (DWT). That means we want the energy in the representation to be concentrated in few DWT coefficients. It is well-known that the decay of the DWT coefficients is strongly related to the number of vanishing moments of the mother wavelet, and to the smoothness of the signal. In this paper we present the result of applying two classical families of wavelets to a series of musical signals. The purpose is to determine a general relation between the number of vanishing moments of the wavelet and the sparseness of the DWT coefficients.
Original languageEnglish
Title of host publicationProceedings of WEDELMUSIC 2004
Number of pages5
Publication date2004
Pages10-14
Publication statusPublished - 2004
EventWEDELMUSIC 2004 - Barcelona, Spain
Duration: 13 Sep 200415 Sep 2005

Conference

ConferenceWEDELMUSIC 2004
CountrySpain
CityBarcelona
Period13/09/200415/09/2005

Fingerprint

Sparse Representation
Music
Wavelet Transform
Wavelets
Vanishing Moments
Coefficient
Smoothness
Decay
Series
Energy

Cite this

Endelt, L. Ø., & Harbo, A. L-C. (2004). Wavelets for Sparse Representation of Music. In Proceedings of WEDELMUSIC 2004 (pp. 10-14)
Endelt, Line Ørtoft ; Harbo, Anders La-Cour. / Wavelets for Sparse Representation of Music. Proceedings of WEDELMUSIC 2004. 2004. pp. 10-14
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Endelt, LØ & Harbo, AL-C 2004, Wavelets for Sparse Representation of Music. in Proceedings of WEDELMUSIC 2004. pp. 10-14, Barcelona, Spain, 13/09/2004.

Wavelets for Sparse Representation of Music. / Endelt, Line Ørtoft; Harbo, Anders La-Cour.

Proceedings of WEDELMUSIC 2004. 2004. p. 10-14.

Research output: Contribution to book/anthology/report/conference proceedingArticle in proceedingResearchpeer-review

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AU - Harbo, Anders La-Cour

PY - 2004

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AB - We are interested in obtaining a sparse representation of music signals by means of a discrete wavelet transform (DWT). That means we want the energy in the representation to be concentrated in few DWT coefficients. It is well-known that the decay of the DWT coefficients is strongly related to the number of vanishing moments of the mother wavelet, and to the smoothness of the signal. In this paper we present the result of applying two classical families of wavelets to a series of musical signals. The purpose is to determine a general relation between the number of vanishing moments of the wavelet and the sparseness of the DWT coefficients.

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Endelt LØ, Harbo AL-C. Wavelets for Sparse Representation of Music. In Proceedings of WEDELMUSIC 2004. 2004. p. 10-14