Name
Abstract | ||
|---|---|---|
A new algorithm for the reconstruction of sparse signals, which is referred to as the ℓp-regularized least squares ( ℓp-RLS) algorithm, is proposed. The new algorithm is based on the minimization of a smoothed ℓp-norm regularized square error with p <; 1 . It uses a conjugate-gradient (CG) optimization method in a sequential minimization strategy that involves a two-parameter continuation technique. An improved version of the new algorithm is also proposed, which entails a bisection technique that optimizes an inherent regularization parameter. Extensive simulation results show that the new algorithm offers improved signal reconstruction performance and requires reduced computational effort relative to several state-of-the-art competing algorithms. The improved version of the ℓp-RLS algorithm offers better performance than the basic version, although this is achieved at the cost of increased computational effort. |
Year | DOI | Venue |
|---|---|---|
2014 | 10.1109/TCSII.2013.2296133 | Circuits and Systems II: Express Briefs, IEEE Transactions |
Keywords | Field | DocType |
compressed sensing,conjugate gradient methods,least squares approximations,minimisation,signal reconstruction,ℓp-regularized least squares algorithm,bisection technique,compressive sensing,conjugate-gradient optimization method,inherent regularization parameter,sequential minimization strategy,smoothed ℓp-norm regularized square error,sparse signal reconstruction,two-parameter continuation technique,$ell_{p}$-norm,compressive sensing (cs),conjugate-gradient (cg) optimization,least squares optimization,sequential optimization,noise,noise measurement,minimization,optimization,approximation algorithms | Least squares,Approximation algorithm,Mathematical optimization,Algorithm,Regularization (mathematics),Minification,Minimisation (psychology),Norm (mathematics),Mathematics,Signal reconstruction,Compressed sensing | Journal |
Volume | Issue | ISSN |
61 | 3 | 1549-7747 |
Citations | PageRank | References |
2 | 0.39 | 0 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Pant, J.K. | 1 | 2 | 0.39 |
| Wu-Sheng Lu | 2 | 296 | 24.90 |
| A. Antoniou | 3 | 267 | 30.79 |