Joint Sparsity and Frequency Estimation for Spectral Compressive Sensing

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Resumé

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.
OriginalsprogEngelsk
TitelIEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), 2014
ForlagIEEE
Publikationsdatomaj 2014
Sider1035-1039
ISBN (Trykt)978-1-4799-2892-7
DOI
StatusUdgivet - maj 2014
Begivenhed2014 IEEE International Conference on Acoustics, Speech and Signal Processing - Firenze, Italien
Varighed: 4 maj 20149 maj 2014
Konferencens nummer: 18874

Konference

Konference2014 IEEE International Conference on Acoustics, Speech and Signal Processing
Nummer18874
LandItalien
ByFirenze
Periode04/05/201409/05/2014
NavnI E E E International Conference on Acoustics, Speech and Signal Processing. Proceedings
ISSN1520-6149

Citer dette

Nielsen, J. K., Christensen, M. G., & Jensen, S. H. (2014). Joint Sparsity and Frequency Estimation for Spectral Compressive Sensing. I IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), 2014 (s. 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. s. 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. i 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, s. 1035-1039, 2014 IEEE International Conference on Acoustics, Speech and Signal Processing , Firenze, Italien, 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. s. 1035-1039 (I E E E International Conference on Acoustics, Speech and Signal Processing. Proceedings).

Publikation: Bidrag til bog/antologi/rapport/konference proceedingKonferenceartikel i proceedingForskningpeer review

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