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Fundamental Frequency Estimation using the Shift-Invariance Property

Christensen, Mads; Jakobsson, Andreas LU and Jensen, Sören (2007) 41st Asilomar Conference on Signals, Systems and Computers, 2007 In 2007 Conference Record of the Forty-First Asilomar Conference on Signals, Systems and Computers p.631-635
Abstract
In this paper, we propose a method for the estimation of the fundamental frequency of a periodic waveform based on the shift-invariance property of the sinusoidal signal model known from ESPRIT. An advantage of the proposed method is that the model order and the fundamental frequency can be found jointly and that the method does not depend on the density of the observation noise but rather on it being approximately white. Also, the cost function is observed to very smooth as compared to that of MUSIC. The method is shown in simulations to have good performance with the root mean square estimation error approaching the Cramer-Rao lower bound.
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author
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
keywords
frequency estimation, Cramer-Rao lower bound, shift-invariance property, sinusoidal signal model, root mean square estimation error
in
2007 Conference Record of the Forty-First Asilomar Conference on Signals, Systems and Computers
pages
631 - 635
publisher
IEEE--Institute of Electrical and Electronics Engineers Inc.
conference name
41st Asilomar Conference on Signals, Systems and Computers, 2007
external identifiers
  • scopus:50249176547
ISSN
1058-6393
language
English
LU publication?
no
id
4a8c7052-4c42-4059-9702-1cdbe96ac771 (old id 1274702)
alternative location
http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=4487290
date added to LUP
2009-05-25 12:20:15
date last changed
2017-01-01 06:42:44
@inproceedings{4a8c7052-4c42-4059-9702-1cdbe96ac771,
  abstract     = {In this paper, we propose a method for the estimation of the fundamental frequency of a periodic waveform based on the shift-invariance property of the sinusoidal signal model known from ESPRIT. An advantage of the proposed method is that the model order and the fundamental frequency can be found jointly and that the method does not depend on the density of the observation noise but rather on it being approximately white. Also, the cost function is observed to very smooth as compared to that of MUSIC. The method is shown in simulations to have good performance with the root mean square estimation error approaching the Cramer-Rao lower bound.},
  author       = {Christensen, Mads and Jakobsson, Andreas and Jensen, Sören},
  booktitle    = {2007 Conference Record of the Forty-First Asilomar Conference on Signals, Systems and Computers},
  issn         = {1058-6393},
  keyword      = {frequency estimation,Cramer-Rao lower bound,shift-invariance property,sinusoidal signal model,root mean square estimation error},
  language     = {eng},
  pages        = {631--635},
  publisher    = {IEEE--Institute of Electrical and Electronics Engineers Inc.},
  title        = {Fundamental Frequency Estimation using the Shift-Invariance Property},
  year         = {2007},
}