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.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/1216229
- author
- Christensen, Mads G.
; Jensen, Jesper H.
; Jakobsson, Andreas
LU
and Jensen, Sören H.
- organization
- publishing date
- 2008
- 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
- 2016-04-04 09:28:28
- date last changed
- 2022-01-29 18:00:15
@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}},
keywords = {{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}},
doi = {{10.1109/LSP.2008.2003987}},
volume = {{15}},
year = {{2008}},
}