Enforcing sparsity, shift-invariance and positivity in a bayesian model of polyphonic piano music
Enforcing sparsity, shift-invariance and positivity in a bayesian model of polyphonic piano music
In this paper we develop a Bayesian method to extract individual notes from a polyphonic piano recording. The distribution of the note activation is non-negative and we therefore introduce a modified Rayleigh distribution to model this note behaviour.
Sparseness of the note activation is achieved by a mixture distribution that is a mixture of a delta function and the modified Rayleigh distribution. The used learning rule requires integration over the note activations, which is done using a Gibbs Sampling Monte Carlo method. We analyse the behaviour of the algorithm using a simplified test signal as well as a real piano recording.
Blumensath, T.
470d9055-0373-457e-bf80-4389f8ec4ead
Davies, M. E.
49efcd9d-430a-4387-8f5b-49c29e308e2a
July 2005
Blumensath, T.
470d9055-0373-457e-bf80-4389f8ec4ead
Davies, M. E.
49efcd9d-430a-4387-8f5b-49c29e308e2a
Blumensath, T. and Davies, M. E.
(2005)
Enforcing sparsity, shift-invariance and positivity in a bayesian model of polyphonic piano music.
IEEE Workshop on Statistical Signal Processing, Bordeaux, France.
(doi:10.1109/SSP.2005.1628695).
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Conference or Workshop Item
(Paper)
Abstract
In this paper we develop a Bayesian method to extract individual notes from a polyphonic piano recording. The distribution of the note activation is non-negative and we therefore introduce a modified Rayleigh distribution to model this note behaviour.
Sparseness of the note activation is achieved by a mixture distribution that is a mixture of a delta function and the modified Rayleigh distribution. The used learning rule requires integration over the note activations, which is done using a Gibbs Sampling Monte Carlo method. We analyse the behaviour of the algorithm using a simplified test signal as well as a real piano recording.
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Published date: July 2005
Venue - Dates:
IEEE Workshop on Statistical Signal Processing, Bordeaux, France, 2005-07-01
Organisations:
Signal Processing & Control Grp
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Local EPrints ID: 151933
URI: http://eprints.soton.ac.uk/id/eprint/151933
PURE UUID: 267ec96a-a5f5-4746-abd2-e4ea59aa0afe
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Date deposited: 01 Jul 2010 10:54
Last modified: 14 Mar 2024 02:55
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Author:
M. E. Davies
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