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A numerical implementation of gridless compressed sensing

Ashkan Panahi (Institutionen för signaler och system, Signalbehandling) ; Mats Viberg (Institutionen för signaler och system, Signalbehandling) ; B. Hassibi
ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings (1520-6149). Vol. 2015-August (2015), p. 3342-3346.
[Konferensbidrag, refereegranskat]

Atomic norm denoising has been recently introduced as a generalization of the Least Absolute Shrinkage and Selection Operator (LASSO) to overcome the problem of off-grid parameters. The method has been found to possess many interesting theoretical properties. However, its implementation has been only discussed in a special case of spectral line estimation by uniform sampling. In this paper, we propose a general numerical method to solve the atomic norm denoising problem. The complexity of the proposed algorithm is proportional to the complexity of a single-parameter search in the parameter space and thus in many interesting cases, including frequency estimation it enjoys fast realization.

Nyckelord: Atomic norm , implementation , LASSO , multiple parameter estimation



Denna post skapades 2016-05-10. Senast ändrad 2016-08-17.
CPL Pubid: 236209

 

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Institutioner (Chalmers)

Institutionen för signaler och system, Signalbehandling

Ämnesområden

Elektroteknik och elektronik

Chalmers infrastruktur