Title
A Numerical Implementation Of Gridless Compressed Sensing
Abstract
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.
Year
Venue
Keywords
2015
2015 IEEE INTERNATIONAL CONFERENCE ON ACOUSTICS, SPEECH, AND SIGNAL PROCESSING (ICASSP)
Atomic norm, LASSO, multiple parameter estimation, implementation
Field
DocType
ISSN
Noise reduction,Mathematical optimization,Computer science,Lasso (statistics),Parameter space,Sampling (statistics),Estimation theory,Numerical analysis,Compressed sensing,Special case
Conference
1520-6149
Citations 
PageRank 
References 
6
0.44
8
Authors
3
Name
Order
Citations
PageRank
Ashkan Panahi19313.97
M. Viberg2917188.13
Babak Hassibi38737778.04