Joint Sparsity and Frequency Estimation for Spectral Compressive Sensing

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Abstract

Parameter estimation from compressively sensed signals has recently received some attention. We here also consider this problem in the context of frequency sparse signals which are encountered in many application. Existing methods perform the estimation using finite dictionaries or incorporate various interpolation techniques to estimate the continuous frequency parameters. In this paper, we show that solving the problem in a probabilistic framework instead produces an asymptotically efficient estimator which outperforms existing methods in terms of estimation accuracy while still having a low computational complexity. Moreover, the proposed algorithm is also able to make inference about the sparsity level of the measured signal. The simulation code is available online.
Original languageEnglish
Title of host publicationIEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), 2014
PublisherIEEE
Publication dateMay 2014
Pages1035-1039
ISBN (Print)978-1-4799-2892-7
DOIs
Publication statusPublished - May 2014
EventIEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP) - Firenze, Italy
Duration: 4 May 20149 May 2014
Conference number: 18874

Conference

ConferenceIEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP)
Number18874
CountryItaly
CityFirenze
Period04/05/201409/05/2014
SeriesI E E E International Conference on Acoustics, Speech and Signal Processing. Proceedings
ISSN1520-6149

Cite this

Nielsen, J. K., Christensen, M. G., & Jensen, S. H. (2014). Joint Sparsity and Frequency Estimation for Spectral Compressive Sensing. In IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), 2014 (pp. 1035-1039). IEEE. I E E E International Conference on Acoustics, Speech and Signal Processing. Proceedings https://doi.org/10.1109/ICASSP.2014.6853754
Nielsen, Jesper Kjær ; Christensen, Mads Græsbøll ; Jensen, Søren Holdt. / Joint Sparsity and Frequency Estimation for Spectral Compressive Sensing. IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), 2014. IEEE, 2014. pp. 1035-1039 (I E E E International Conference on Acoustics, Speech and Signal Processing. Proceedings).
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Nielsen, JK, Christensen, MG & Jensen, SH 2014, Joint Sparsity and Frequency Estimation for Spectral Compressive Sensing. in IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), 2014. IEEE, I E E E International Conference on Acoustics, Speech and Signal Processing. Proceedings, pp. 1035-1039, IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP), Firenze, Italy, 04/05/2014. https://doi.org/10.1109/ICASSP.2014.6853754

Joint Sparsity and Frequency Estimation for Spectral Compressive Sensing. / Nielsen, Jesper Kjær; Christensen, Mads Græsbøll; Jensen, Søren Holdt.

IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), 2014. IEEE, 2014. p. 1035-1039 (I E E E International Conference on Acoustics, Speech and Signal Processing. Proceedings).

Research output: Contribution to book/anthology/report/conference proceedingArticle in proceedingResearchpeer-review

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Nielsen JK, Christensen MG, Jensen SH. Joint Sparsity and Frequency Estimation for Spectral Compressive Sensing. In IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), 2014. IEEE. 2014. p. 1035-1039. (I E E E International Conference on Acoustics, Speech and Signal Processing. Proceedings). https://doi.org/10.1109/ICASSP.2014.6853754