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Smooth 2-D frequency estimation using covariance fitting

Swärd, Johan LU ; Brynolfsson, Johan LU ; Jakobsson, Andreas LU and Sandsten, Maria LU (2014) 22nd European Signal Processing Conference - EUSIPCO 2014 In European Signal Processing Conference
Abstract
In this paper, we introduce a non-parametric 2-D spectral estimator for smooth spectra, allowing for irregularly sampled measurements. The estimate is formed by assuming that the spectrum is smooth and will vary slowly over the frequency grids, such that the spectral density inside any given rectangle in the spectral grid may be approximated well as a plane. Using this framework, the 2-D spectrum is estimated by finding the solution to a convex covariance fitting problem, which has an analytic solution.

%solved using the generalized alternating direction method of multipliers.

Numerical simulations indicate the achievable performance gain as compared to the Blackman-Tukey estimator.
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
keywords
2-D frequency estimation, smooth spectrum, irregular sampling.
in
European Signal Processing Conference
pages
5 pages
publisher
EURASIP
conference name
22nd European Signal Processing Conference - EUSIPCO 2014
external identifiers
  • scopus:84911941530
ISSN
2219-5491
language
English
LU publication?
yes
id
17e9f259-d728-461e-ba58-b7c2fcdff3d9 (old id 4588711)
alternative location
http://www.eurasip.org/Proceedings/Eusipco/Eusipco2014/HTML/papers/1569925615.pdf
date added to LUP
2014-09-17 11:03:56
date last changed
2017-03-16 09:33:05
@inproceedings{17e9f259-d728-461e-ba58-b7c2fcdff3d9,
  abstract     = {In this paper, we introduce a non-parametric 2-D spectral estimator for smooth spectra, allowing for irregularly sampled measurements. The estimate is formed by assuming that the spectrum is smooth and will vary slowly over the frequency grids, such that the spectral density inside any given rectangle in the spectral grid may be approximated well as a plane. Using this framework, the 2-D spectrum is estimated by finding the solution to a convex covariance fitting problem, which has an analytic solution.<br/><br>
%solved using the generalized alternating direction method of multipliers. <br/><br>
Numerical simulations indicate the achievable performance gain as compared to the Blackman-Tukey estimator.},
  author       = {Swärd, Johan and Brynolfsson, Johan and Jakobsson, Andreas and Sandsten, Maria},
  booktitle    = {European Signal Processing Conference},
  issn         = {2219-5491},
  keyword      = {2-D frequency estimation,smooth spectrum,irregular sampling.},
  language     = {eng},
  pages        = {5},
  publisher    = {EURASIP},
  title        = {Smooth 2-D frequency estimation using covariance fitting},
  year         = {2014},
}