Fundamental Frequency Estimation using the Shift-Invariance Property
(2007) 41st Asilomar Conference on Signals, Systems and Computers, 2007 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.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/1274702
- author
- Christensen, Mads ; Jakobsson, Andreas LU and Jensen, Sören
- publishing date
- 2007
- 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
- host publication
- 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
- conference location
- Pacific Grove, CA, United States
- conference dates
- 2007-11-04 - 2007-11-07
- 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
- 2016-04-01 15:35:40
- date last changed
- 2022-01-28 06:05:40
@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}}, keywords = {{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}}, url = {{http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=4487290}}, year = {{2007}}, }