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Joint Fundamental Frequency and Order Estimation using Optimal Filtering

Christensen, Mads; Höjvang, Jesper; Jakobsson, Andreas LU and Jensen, Sören (2011) In Eurasip Journal on Advances in Signal Processing 2011(june).
Abstract (Swedish)
Abstract in Undetermined

In this paper, the problem of jointly estimating the number of harmonics and the fundamental frequency of periodic signals is considered. We show how this problem can be solved using a number of methods that either are or can be interpreted as filtering methods in combination with a statistical model selection criterion. The methods in question are the classical comb filtering method, a maximum likelihood method, and some filtering methods based on optimal filtering that have recently been proposed, while the model selection criterion is derived herein from the maximum a posteriori principle. The asymptotic properties of the optimal filtering methods are analyzed and an order-recursive efficient... (More)
Abstract in Undetermined

In this paper, the problem of jointly estimating the number of harmonics and the fundamental frequency of periodic signals is considered. We show how this problem can be solved using a number of methods that either are or can be interpreted as filtering methods in combination with a statistical model selection criterion. The methods in question are the classical comb filtering method, a maximum likelihood method, and some filtering methods based on optimal filtering that have recently been proposed, while the model selection criterion is derived herein from the maximum a posteriori principle. The asymptotic properties of the optimal filtering methods are analyzed and an order-recursive efficient implementation is derived. Finally, the estimators have been compared in computer simulations that show that the optimal filtering methods perform well under various conditions. It has previously been demonstrated that the optimal filtering methods perform extremely well with respect to fundamental frequency estimation under adverse conditions, and this fact, combined with the new results on model order estimation and efficient implementation, suggests that these methods form an appealing alternative to classical methods for analyzing multi-pitch signals (Less)
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author
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Eurasip Journal on Advances in Signal Processing
volume
2011
issue
june
publisher
Hindawi Publishing Corporation
external identifiers
  • wos:000294850300001
ISSN
1687-6172
DOI
10.1186/1687-6180-2011-13
language
English
LU publication?
yes
id
1b528351-b1d0-4524-a09c-dc18fbc9f845 (old id 2158474)
date added to LUP
2011-10-19 19:06:48
date last changed
2017-03-16 09:33:01
@article{1b528351-b1d0-4524-a09c-dc18fbc9f845,
  abstract     = {<b>Abstract in Undetermined</b><br/><br>
In this paper, the problem of jointly estimating the number of harmonics and the fundamental frequency of periodic signals is considered. We show how this problem can be solved using a number of methods that either are or can be interpreted as filtering methods in combination with a statistical model selection criterion. The methods in question are the classical comb filtering method, a maximum likelihood method, and some filtering methods based on optimal filtering that have recently been proposed, while the model selection criterion is derived herein from the maximum a posteriori principle. The asymptotic properties of the optimal filtering methods are analyzed and an order-recursive efficient implementation is derived. Finally, the estimators have been compared in computer simulations that show that the optimal filtering methods perform well under various conditions. It has previously been demonstrated that the optimal filtering methods perform extremely well with respect to fundamental frequency estimation under adverse conditions, and this fact, combined with the new results on model order estimation and efficient implementation, suggests that these methods form an appealing alternative to classical methods for analyzing multi-pitch signals},
  author       = {Christensen, Mads and Höjvang, Jesper and Jakobsson, Andreas and Jensen, Sören},
  issn         = {1687-6172},
  language     = {eng},
  number       = {june},
  publisher    = {Hindawi Publishing Corporation},
  series       = {Eurasip Journal on Advances in Signal Processing},
  title        = {Joint Fundamental Frequency and Order Estimation using Optimal Filtering},
  url          = {http://dx.doi.org/10.1186/1687-6180-2011-13},
  volume       = {2011},
  year         = {2011},
}