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On Optimal Filter Designs for Fundamental Frequency Estimation

Christensen, Mads G.; Jensen, Jesper H.; Jakobsson, Andreas LU and Jensen, Sören H. (2008) In IEEE Signal Processing Letters 15. p.745-748
Abstract
Recently, we proposed using Capon's minimum variance principle to find the fundamental frequency of a periodic waveform. The resulting estimator is formed such that it maximizes the output power of a bank of filters. We present an alternative optimal single filter design and then proceed to quantify the similarities and differences between the estimators using asymptotic analysis and Monte Carlo simulations. Our analysis shows that the single filter can be expressed in terms of the optimal filterbank and that the methods are asymptotically equivalent but generally different for finite length signals.
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author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
optimal filterbank, optimal filter designs, fundamental frequency estimation, Capon minimum variance principle, periodic waveform, asymptotic analysis, Monte Carlo simulations
in
IEEE Signal Processing Letters
volume
15
pages
745 - 748
publisher
IEEE--Institute of Electrical and Electronics Engineers Inc.
external identifiers
  • WOS:000263999300054
  • Scopus:61849122221
ISSN
1070-9908
DOI
10.1109/LSP.2008.2003987
language
English
LU publication?
yes
id
8f7d03ec-0417-4c88-8c0a-d4f57048c098 (old id 1216229)
date added to LUP
2009-05-06 13:37:28
date last changed
2017-01-01 07:49:34
@article{8f7d03ec-0417-4c88-8c0a-d4f57048c098,
  abstract     = {Recently, we proposed using Capon's minimum variance principle to find the fundamental frequency of a periodic waveform. The resulting estimator is formed such that it maximizes the output power of a bank of filters. We present an alternative optimal single filter design and then proceed to quantify the similarities and differences between the estimators using asymptotic analysis and Monte Carlo simulations. Our analysis shows that the single filter can be expressed in terms of the optimal filterbank and that the methods are asymptotically equivalent but generally different for finite length signals.},
  author       = {Christensen, Mads G. and Jensen, Jesper H. and Jakobsson, Andreas and Jensen, Sören H.},
  issn         = {1070-9908},
  keyword      = {optimal filterbank,optimal filter designs,fundamental frequency estimation,Capon minimum variance principle,periodic waveform,asymptotic analysis,Monte Carlo simulations},
  language     = {eng},
  pages        = {745--748},
  publisher    = {IEEE--Institute of Electrical and Electronics Engineers Inc.},
  series       = {IEEE Signal Processing Letters},
  title        = {On Optimal Filter Designs for Fundamental Frequency Estimation},
  url          = {http://dx.doi.org/10.1109/LSP.2008.2003987},
  volume       = {15},
  year         = {2008},
}