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Computationally Efficient Estimation of Multi-dimensional Damped Modes using Sparse Wideband Dictionaries

Jälmby, Martin; Swärd, Johan LU ; Elvander, Filip LU and Jakobsson, Andreas LU (2018) 26th European Signal Processing Conference, EUSIPCO 2018 p.1759-1763
Abstract
Estimating the parameters of non-uniformly sampled multi-dimensional damped modes is computationally cumbersome, especially if the model order of the signal is not assumed to be known a priori. In this work, we examine the possibility of using the recently introduced wideband dictionary framework to formulate a computationally efficient estimator that iteratively refines the estimates of the candidate frequency and damping coefficients for each component. The proposed wideband dictionary allows for the use of a coarse initial grid without increasing the risk of not identifying closely spaced components, resulting in a substantial reduction in computational complexity. The performance of the proposed method is illustrated using both... (More)
Estimating the parameters of non-uniformly sampled multi-dimensional damped modes is computationally cumbersome, especially if the model order of the signal is not assumed to be known a priori. In this work, we examine the possibility of using the recently introduced wideband dictionary framework to formulate a computationally efficient estimator that iteratively refines the estimates of the candidate frequency and damping coefficients for each component. The proposed wideband dictionary allows for the use of a coarse initial grid without increasing the risk of not identifying closely spaced components, resulting in a substantial reduction in computational complexity. The performance of the proposed method is illustrated using both simulated and real spectroscopy data, clearly showing the improved performance as compared to previous techniques. (Less)
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
host publication
26th European Signal Processing Conference, EUSIPCO 2018
pages
5 pages
publisher
IEEE - Institute of Electrical and Electronics Engineers Inc.
conference name
26th European Signal Processing Conference, EUSIPCO 2018
conference location
Rome, Italy
conference dates
2018-09-03 - 2018-09-07
external identifiers
  • scopus:85059801298
ISBN
978-90-827970-1-5
DOI
10.23919/EUSIPCO.2018.8553460
language
English
LU publication?
yes
id
3b8a91f7-9a8d-4b80-bd56-1892a1209f40
date added to LUP
2018-09-12 14:12:13
date last changed
2019-04-28 17:50:38
@inproceedings{3b8a91f7-9a8d-4b80-bd56-1892a1209f40,
  abstract     = {Estimating the parameters of non-uniformly sampled multi-dimensional damped modes is computationally cumbersome, especially if the model order of the signal is not assumed to be known a priori. In this work, we examine the possibility of using the recently introduced wideband dictionary framework to formulate a computationally efficient estimator that iteratively refines the estimates of the candidate frequency and damping coefficients for each component. The proposed wideband dictionary allows for the use of a coarse initial grid without increasing the risk of not identifying closely spaced components, resulting in a substantial reduction in computational complexity. The performance of the proposed method is illustrated using both simulated and real spectroscopy data, clearly showing the improved performance as compared to previous techniques.},
  author       = {Jälmby, Martin and Swärd, Johan and Elvander, Filip and Jakobsson, Andreas},
  isbn         = {978-90-827970-1-5},
  language     = {eng},
  location     = {Rome, Italy},
  pages        = {1759--1763},
  publisher    = {IEEE - Institute of Electrical and Electronics Engineers Inc.},
  title        = {Computationally Efficient Estimation of Multi-dimensional Damped Modes using Sparse Wideband Dictionaries},
  url          = {http://dx.doi.org/10.23919/EUSIPCO.2018.8553460},
  year         = {2018},
}