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High resolution sparse estimation of exponentially decaying two-dimensional signals

Adalbjörnsson, Stefan Ingi LU ; Swärd, Johan LU and Jakobsson, Andreas LU orcid (2014) 22nd European Signal Processing Conference - EUSIPCO 2014
Abstract
In this work, we consider the problem of high-resolution estimation of the parameters detailing a two-dimensional (2-D) signal consisting of an unknown number of exponentially decaying sinusoidal components. Interpreting the estimation problem as a block (or group) sparse representation problem allows the decoupling of the 2-D data structure into a sum of outer-products of 1-D damped sinusoidal signals with unknown damping and frequency. The resulting non-zero blocks will represent each of the 1-D damped sinusoids, which may then be used as non-parametric estimates of the corresponding 1-D signals; this implies that the sought 2-D modes may be estimated using a sequence of 1-D optimization problems.

The resulting sparse... (More)
In this work, we consider the problem of high-resolution estimation of the parameters detailing a two-dimensional (2-D) signal consisting of an unknown number of exponentially decaying sinusoidal components. Interpreting the estimation problem as a block (or group) sparse representation problem allows the decoupling of the 2-D data structure into a sum of outer-products of 1-D damped sinusoidal signals with unknown damping and frequency. The resulting non-zero blocks will represent each of the 1-D damped sinusoids, which may then be used as non-parametric estimates of the corresponding 1-D signals; this implies that the sought 2-D modes may be estimated using a sequence of 1-D optimization problems.

The resulting sparse representation problem is solved using an iterative ADMM-based algorithm, after which the damping and frequency parameter can be estimated by a sequence of simple 1-D optimization problems. (Less)
Please use this url to cite or link to this publication:
author
; and
organization
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
keywords
Sparse signal modeling, Spectral analysis, Sparse reconstruction, Parameter estimation, ADMM.
host publication
European Signal Processing Conference
pages
5 pages
publisher
EURASIP
conference name
22nd European Signal Processing Conference - EUSIPCO 2014
conference location
Lissabon, Portugal
conference dates
2014-09-01 - 2014-09-05
external identifiers
  • scopus:84911883580
ISSN
2219-5491
language
English
LU publication?
yes
id
3c1af84c-2c9b-4e06-acf1-1b6e0db026c5 (old id 4588725)
alternative location
http://www.eurasip.org/Proceedings/Eusipco/Eusipco2014/HTML/papers/1569925345.pdf
date added to LUP
2016-04-01 14:26:33
date last changed
2022-01-28 00:40:49
@inproceedings{3c1af84c-2c9b-4e06-acf1-1b6e0db026c5,
  abstract     = {{In this work, we consider the problem of high-resolution estimation of the parameters detailing a two-dimensional (2-D) signal consisting of an unknown number of exponentially decaying sinusoidal components. Interpreting the estimation problem as a block (or group) sparse representation problem allows the decoupling of the 2-D data structure into a sum of outer-products of 1-D damped sinusoidal signals with unknown damping and frequency. The resulting non-zero blocks will represent each of the 1-D damped sinusoids, which may then be used as non-parametric estimates of the corresponding 1-D signals; this implies that the sought 2-D modes may be estimated using a sequence of 1-D optimization problems. <br/><br>
The resulting sparse representation problem is solved using an iterative ADMM-based algorithm, after which the damping and frequency parameter can be estimated by a sequence of simple 1-D optimization problems.}},
  author       = {{Adalbjörnsson, Stefan Ingi and Swärd, Johan and Jakobsson, Andreas}},
  booktitle    = {{European Signal Processing Conference}},
  issn         = {{2219-5491}},
  keywords     = {{Sparse signal modeling; Spectral analysis; Sparse reconstruction; Parameter estimation; ADMM.}},
  language     = {{eng}},
  publisher    = {{EURASIP}},
  title        = {{High resolution sparse estimation of exponentially decaying two-dimensional signals}},
  url          = {{https://lup.lub.lu.se/search/files/3977536/4588735.pdf}},
  year         = {{2014}},
}