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Off-grid Fundamental Frequency Estimation

Sward, Johan LU ; Li, Hongbin and Jakobsson, Andreas LU (2017) In IEEE/ACM Transactions on Audio Speech and Language Processing
Abstract

In this paper, we propose a gridless method for estimating an unknown number of fundamental frequencies. Starting with a conventional dictionary matrix, containing sets of candidate fundamental frequencies and their corresponding harmonics, a non-convex log-sum cost function is formed such that it imposes the harmonic structure and treats every fundamental frequency in the dictionary as a parameter. The cost function is iteratively decreased by minimizing a surrogate function, and, in each iteration, the fundamental frequencies are refined, whereas redundant parameters are omitted from the dictionary. The proposed method is tested on both real and simulated data, showing its preferred performance as compared to other state-of-the-art... (More)

In this paper, we propose a gridless method for estimating an unknown number of fundamental frequencies. Starting with a conventional dictionary matrix, containing sets of candidate fundamental frequencies and their corresponding harmonics, a non-convex log-sum cost function is formed such that it imposes the harmonic structure and treats every fundamental frequency in the dictionary as a parameter. The cost function is iteratively decreased by minimizing a surrogate function, and, in each iteration, the fundamental frequencies are refined, whereas redundant parameters are omitted from the dictionary. The proposed method is tested on both real and simulated data, showing its preferred performance as compared to other state-of-the-art multi-pitch estimators.

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author
organization
publishing date
type
Contribution to journal
publication status
epub
subject
in
IEEE/ACM Transactions on Audio Speech and Language Processing
publisher
Piscataway, NJ : Institute of Electrical and Electronics Engineers
external identifiers
  • scopus:85035785863
  • wos:000418297800007
ISSN
2329-9290
DOI
10.1109/TASLP.2017.2775800
language
English
LU publication?
yes
id
9f3ffb30-5a15-4d96-97ba-98f1e53946b0
date added to LUP
2017-12-12 13:21:35
date last changed
2018-01-16 13:27:43
@article{9f3ffb30-5a15-4d96-97ba-98f1e53946b0,
  abstract     = {<p>In this paper, we propose a gridless method for estimating an unknown number of fundamental frequencies. Starting with a conventional dictionary matrix, containing sets of candidate fundamental frequencies and their corresponding harmonics, a non-convex log-sum cost function is formed such that it imposes the harmonic structure and treats every fundamental frequency in the dictionary as a parameter. The cost function is iteratively decreased by minimizing a surrogate function, and, in each iteration, the fundamental frequencies are refined, whereas redundant parameters are omitted from the dictionary. The proposed method is tested on both real and simulated data, showing its preferred performance as compared to other state-of-the-art multi-pitch estimators.</p>},
  author       = {Sward, Johan and Li, Hongbin and Jakobsson, Andreas},
  issn         = {2329-9290},
  language     = {eng},
  month        = {11},
  publisher    = {Piscataway, NJ : Institute of Electrical and Electronics Engineers},
  series       = {IEEE/ACM Transactions on Audio Speech and Language Processing},
  title        = {Off-grid Fundamental Frequency Estimation},
  url          = {http://dx.doi.org/10.1109/TASLP.2017.2775800},
  year         = {2017},
}