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Joint Fundamental Frequency and Order Estimation using Optimal Filtering

Christensen, Mads; Jensen, Jesper; Jakobsson, Andreas LU and Jensen, Sören (2009) 17th European Signal Processing Conference
Abstract
In this paper, two optimal filter designs for fundamental frequency

estimation are presented with the first being based on a filterbank

and the second on a single filter. We show that the two designs are

related in a simple manner and result in the same residual when used

for cancelling out the harmonics. We propose to use this residual

for estimating the number of harmonics by combining a noise variance

estimate with an order dependent penalty term. This leads to

a joint estimator of the fundamental frequency and the order based

on the same criterion. Via Monte Carlo simulations, the estimator is

demonstrated to have good performance in terms of the... (More)
In this paper, two optimal filter designs for fundamental frequency

estimation are presented with the first being based on a filterbank

and the second on a single filter. We show that the two designs are

related in a simple manner and result in the same residual when used

for cancelling out the harmonics. We propose to use this residual

for estimating the number of harmonics by combining a noise variance

estimate with an order dependent penalty term. This leads to

a joint estimator of the fundamental frequency and the order based

on the same criterion. Via Monte Carlo simulations, the estimator is

demonstrated to have good performance in terms of the percentage

of correctly estimated orders. (Less)
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to conference
publication status
in press
subject
keywords
Acoustic signal analysis, spectral analysis, frequency estimation
conference name
17th European Signal Processing Conference
language
English
LU publication?
yes
id
e1895e56-0a1a-4965-b1fd-d46d40d49e61 (old id 1397940)
alternative location
http://kom.aau.dk/~mgc/publications/icassp2009.pdf
date added to LUP
2009-05-20 14:32:32
date last changed
2017-03-16 09:33:11
@misc{e1895e56-0a1a-4965-b1fd-d46d40d49e61,
  abstract     = {In this paper, two optimal filter designs for fundamental frequency<br/><br>
estimation are presented with the first being based on a filterbank<br/><br>
and the second on a single filter. We show that the two designs are<br/><br>
related in a simple manner and result in the same residual when used<br/><br>
for cancelling out the harmonics. We propose to use this residual<br/><br>
for estimating the number of harmonics by combining a noise variance<br/><br>
estimate with an order dependent penalty term. This leads to<br/><br>
a joint estimator of the fundamental frequency and the order based<br/><br>
on the same criterion. Via Monte Carlo simulations, the estimator is<br/><br>
demonstrated to have good performance in terms of the percentage<br/><br>
of correctly estimated orders.},
  author       = {Christensen, Mads and Jensen, Jesper and Jakobsson, Andreas and Jensen, Sören},
  keyword      = {Acoustic signal analysis,spectral analysis,frequency
estimation},
  language     = {eng},
  title        = {Joint Fundamental Frequency and Order Estimation using Optimal Filtering},
  year         = {2009},
}