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Gridless compressive sensing

Ashkan Panahi (Institutionen för signaler och system, Signalbehandling) ; Mats Viberg (Institutionen för signaler och system, Signalbehandling)
2014 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2014; Florence; Italy; 4 May 2014 through 9 May 2014 (1520-6149). p. 3385-3389. (2014)
[Konferensbidrag, refereegranskat]

The effect of off-grid atoms has become the prominent problem in application of the Compressed Sensing (CS) techniques to the cases where there is an underlying continuous parametrization. In this work, we develop a generalizing CS framework which shows that sampling to a finite grid is not necessary toward compressive estimation. We propose an alternative procedure over infinite dictionaries, which we show to be theoretically consistent in many cases of interest and then propose a robust implementation. We illustrate the general properties of our technique in some difficult practical instances of frequency estimation.

Article number 6854228

Denna post skapades 2014-08-25. Senast ändrad 2015-05-08.
CPL Pubid: 201868


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Institutionen för signaler och system, Signalbehandling (1900-2017)



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