High resolution sparse estimation of exponentially decaying two-dimensional signals

High resolution sparse estimation of exponentially decaying two-dimensional signals. Adalbjörnsson, S. I., Swärd, J., & Jakobsson, A. In 2014 22nd European Signal Processing Conference (EUSIPCO), pages 491-495, Sep., 2014.

Paper abstract bibtex

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.

@InProceedings{6952137,
  author = {S. I. Adalbjörnsson and J. Swärd and A. Jakobsson},
  booktitle = {2014 22nd European Signal Processing Conference (EUSIPCO)},
  title = {High resolution sparse estimation of exponentially decaying two-dimensional signals},
  year = {2014},
  pages = {491-495},
  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 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.},
  keywords = {optimisation;parameter estimation;signal representation;signal resolution;high resolution sparse estimation;exponentially decaying two-dimensional signals;2D signal;block sparse representation problem;outer-products;1D damped sinusoidal signals;unknown damping;nonzero blocks;nonparametric estimates;1D optimization problems;iterative ADMM-based algorithm;frequency parameter;2D data structure decoupling;parameter estimation;Damping;Estimation;Frequency estimation;Signal to noise ratio;Nuclear magnetic resonance;Minimization;Dictionaries;Sparse signal modeling;Spectral analysis;Sparse reconstruction;Parameter estimation;ADMM},
  issn = {2076-1465},
  month = {Sep.},
  url = {https://www.eurasip.org/proceedings/eusipco/eusipco2014/html/papers/1569925345.pdf},
}

Downloads: 0

{"_id":"qjwQsDCtivjhymA2x","bibbaseid":"adalbjrnsson-swrd-jakobsson-highresolutionsparseestimationofexponentiallydecayingtwodimensionalsignals-2014","authorIDs":[],"author_short":["Adalbjörnsson, S. I.","Swärd, J.","Jakobsson, A."],"bibdata":{"bibtype":"inproceedings","type":"inproceedings","author":[{"firstnames":["S.","I."],"propositions":[],"lastnames":["Adalbjörnsson"],"suffixes":[]},{"firstnames":["J."],"propositions":[],"lastnames":["Swärd"],"suffixes":[]},{"firstnames":["A."],"propositions":[],"lastnames":["Jakobsson"],"suffixes":[]}],"booktitle":"2014 22nd European Signal Processing Conference (EUSIPCO)","title":"High resolution sparse estimation of exponentially decaying two-dimensional signals","year":"2014","pages":"491-495","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 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.","keywords":"optimisation;parameter estimation;signal representation;signal resolution;high resolution sparse estimation;exponentially decaying two-dimensional signals;2D signal;block sparse representation problem;outer-products;1D damped sinusoidal signals;unknown damping;nonzero blocks;nonparametric estimates;1D optimization problems;iterative ADMM-based algorithm;frequency parameter;2D data structure decoupling;parameter estimation;Damping;Estimation;Frequency estimation;Signal to noise ratio;Nuclear magnetic resonance;Minimization;Dictionaries;Sparse signal modeling;Spectral analysis;Sparse reconstruction;Parameter estimation;ADMM","issn":"2076-1465","month":"Sep.","url":"https://www.eurasip.org/proceedings/eusipco/eusipco2014/html/papers/1569925345.pdf","bibtex":"@InProceedings{6952137,\n author = {S. I. Adalbjörnsson and J. Swärd and A. Jakobsson},\n booktitle = {2014 22nd European Signal Processing Conference (EUSIPCO)},\n title = {High resolution sparse estimation of exponentially decaying two-dimensional signals},\n year = {2014},\n pages = {491-495},\n 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 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.},\n keywords = {optimisation;parameter estimation;signal representation;signal resolution;high resolution sparse estimation;exponentially decaying two-dimensional signals;2D signal;block sparse representation problem;outer-products;1D damped sinusoidal signals;unknown damping;nonzero blocks;nonparametric estimates;1D optimization problems;iterative ADMM-based algorithm;frequency parameter;2D data structure decoupling;parameter estimation;Damping;Estimation;Frequency estimation;Signal to noise ratio;Nuclear magnetic resonance;Minimization;Dictionaries;Sparse signal modeling;Spectral analysis;Sparse reconstruction;Parameter estimation;ADMM},\n issn = {2076-1465},\n month = {Sep.},\n url = {https://www.eurasip.org/proceedings/eusipco/eusipco2014/html/papers/1569925345.pdf},\n}\n\n","author_short":["Adalbjörnsson, S. I.","Swärd, J.","Jakobsson, A."],"key":"6952137","id":"6952137","bibbaseid":"adalbjrnsson-swrd-jakobsson-highresolutionsparseestimationofexponentiallydecayingtwodimensionalsignals-2014","role":"author","urls":{"Paper":"https://www.eurasip.org/proceedings/eusipco/eusipco2014/html/papers/1569925345.pdf"},"keyword":["optimisation;parameter estimation;signal representation;signal resolution;high resolution sparse estimation;exponentially decaying two-dimensional signals;2D signal;block sparse representation problem;outer-products;1D damped sinusoidal signals;unknown damping;nonzero blocks;nonparametric estimates;1D optimization problems;iterative ADMM-based algorithm;frequency parameter;2D data structure decoupling;parameter estimation;Damping;Estimation;Frequency estimation;Signal to noise ratio;Nuclear magnetic resonance;Minimization;Dictionaries;Sparse signal modeling;Spectral analysis;Sparse reconstruction;Parameter estimation;ADMM"],"metadata":{"authorlinks":{}},"downloads":0},"bibtype":"inproceedings","biburl":"https://raw.githubusercontent.com/Roznn/EUSIPCO/main/eusipco2014url.bib","creationDate":"2021-02-13T17:43:41.615Z","downloads":0,"keywords":["optimisation;parameter estimation;signal representation;signal resolution;high resolution sparse estimation;exponentially decaying two-dimensional signals;2d signal;block sparse representation problem;outer-products;1d damped sinusoidal signals;unknown damping;nonzero blocks;nonparametric estimates;1d optimization problems;iterative admm-based algorithm;frequency parameter;2d data structure decoupling;parameter estimation;damping;estimation;frequency estimation;signal to noise ratio;nuclear magnetic resonance;minimization;dictionaries;sparse signal modeling;spectral analysis;sparse reconstruction;parameter estimation;admm"],"search_terms":["high","resolution","sparse","estimation","exponentially","decaying","two","dimensional","signals","adalbjörnsson","swärd","jakobsson"],"title":"High resolution sparse estimation of exponentially decaying two-dimensional signals","year":2014,"dataSources":["A2ezyFL6GG6na7bbs","oZFG3eQZPXnykPgnE"]}