Title
Gridless compressive sensing
Abstract
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.
Year
DOI
Venue
2014
10.1109/ICASSP.2014.6854228
Acoustics, Speech and Signal Processing
Keywords
Field
DocType
compressed sensing,frequency estimation,signal sampling,CS framework,compressive estimation,frequency estimation,gridless compressive sensing,infinite dictionaries,off-grid atoms
Mathematical optimization,Parametrization,Computer science,Generalization,Sampling (statistics),Compressed sensing,Grid
Conference
ISSN
Citations 
PageRank 
1520-6149
3
0.41
References 
Authors
6
2
Name
Order
Citations
PageRank
Ashkan Panahi19313.97
M. Viberg2917188.13