Title
Robust line spectral estimation
Abstract
Line spectral estimation is a classical signal processing problem that finds numerous applications in array signal processing and speech analysis. We propose a robust approach for line spectral estimation based on atomic norm minimization that is able to recover the spectrum exactly even when the observations are corrupted by arbitrary but sparse outliers. The resulting optimization problem is reformulated as a semidefinite program. Our work extends previous work on robust uncertainty principles by allowing the frequencies to assume values in a continuum rather than a discrete set.
Year
DOI
Venue
2014
10.1109/ACSSC.2014.7094450
ACSSC
Keywords
Field
DocType
signal processing,mathematical programming,speech analysis,array signal processing,optimization problem,semidefinite program,arbitrary outlier,spectrum recovery,sparse outlier,atomic norm minimization,robust line spectral estimation,classical signal processing problem,discrete set,minimisation
Atomic norm minimization,Signal processing,Spectral density estimation,Mathematical optimization,Computer science,Outlier,Optimization problem
Conference
ISSN
Citations 
PageRank 
1058-6393
4
0.43
References 
Authors
9
4
Name
Order
Citations
PageRank
Gongguo Tang150536.29
Parikshit Shah231518.43
Badri Narayan Bhaskar328011.43
Benjamin Recht46087309.68