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Multi-Pitch Estimation Exploiting Block Sparsity

Adalbjörnsson, Stefan Ingi LU ; Jakobsson, Andreas LU and Christensen, Mads (2015) In Signal Processing 109(April). p.236-247
Abstract
We study the problem of estimating the fundamental frequencies of a signal containing multiple harmonically related sinusoidal components using a novel block sparse signal representation. An efficient algorithm for solving the resulting optimization problem is devised exploiting a novel variable step-size alternating direction method of multipliers (ADMM). The resulting algorithm has guaranteed convergence and shows notable robustness to the f 0 vs f0/2f0/2 ambiguity problem. The superiority of the proposed method, as compared to earlier presented estimation techniques, is demonstrated using both simulated and measured audio signals, clearly indicating the preferable performance of the proposed technique.
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Pitch estimation, Block sparsity, Total variation, Spectral smoothness, Order estimation
in
Signal Processing
volume
109
issue
April
pages
236 - 247
publisher
Elsevier
external identifiers
  • wos:000349426100021
  • scopus:84919936152
ISSN
0165-1684
DOI
10.1016/j.sigpro.2014.10.014
language
English
LU publication?
yes
id
e7f1045e-add4-4dec-a33a-00e11f851d60 (old id 4905164)
date added to LUP
2015-01-15 15:10:55
date last changed
2017-07-30 03:23:09
@article{e7f1045e-add4-4dec-a33a-00e11f851d60,
  abstract     = {We study the problem of estimating the fundamental frequencies of a signal containing multiple harmonically related sinusoidal components using a novel block sparse signal representation. An efficient algorithm for solving the resulting optimization problem is devised exploiting a novel variable step-size alternating direction method of multipliers (ADMM). The resulting algorithm has guaranteed convergence and shows notable robustness to the f 0 vs f0/2f0/2 ambiguity problem. The superiority of the proposed method, as compared to earlier presented estimation techniques, is demonstrated using both simulated and measured audio signals, clearly indicating the preferable performance of the proposed technique.},
  author       = {Adalbjörnsson, Stefan Ingi and Jakobsson, Andreas and Christensen, Mads},
  issn         = {0165-1684},
  keyword      = {Pitch estimation,Block sparsity,Total variation,Spectral smoothness,Order estimation},
  language     = {eng},
  number       = {April},
  pages        = {236--247},
  publisher    = {Elsevier},
  series       = {Signal Processing},
  title        = {Multi-Pitch Estimation Exploiting Block Sparsity},
  url          = {http://dx.doi.org/10.1016/j.sigpro.2014.10.014},
  volume       = {109},
  year         = {2015},
}