Name
Title | ||
|---|---|---|
A gradient-based alternating minimization approach for optimization of the measurement matrix in compressive sensing |
Abstract | ||
|---|---|---|
In this paper the problem of optimization of the measurement matrix in compressive (also called compressed) sensing framework is addressed. In compressed sensing a measurement matrix that has a small coherence with the sparsifying dictionary (or basis) is of interest. Random measurement matrices have been used so far since they present small coherence with almost any sparsifying dictionary. However, it has been recently shown that optimizing the measurement matrix toward decreasing the coherence is possible and can improve the performance. Based on this conclusion, we propose here an alternating minimization approach for this purpose which is a variant of Grassmannian frame design modified by a gradient-based technique. The objective is to optimize an initially random measurement matrix to a matrix which presents a smaller coherence than the initial one. We established several experiments to measure the performance of the proposed method and compare it with those of the existing approaches. The results are encouraging and indicate improved reconstruction quality, when utilizing the proposed method. |
Year | DOI | Venue |
|---|---|---|
2012 | 10.1016/j.sigpro.2011.10.012 | Signal Processing |
Keywords | Field | DocType |
sparsifying dictionary,random measurement matrix,existing approach,gradient-based technique,small coherence,minimization approach,grassmannian frame design,smaller coherence,measurement matrix,gradient descent,sparse representation | Gradient descent,Mathematical optimization,Matrix (mathematics),Sparse approximation,Coherence (physics),Minification,Grassmannian,Mathematics,Compressed sensing | Journal |
Volume | Issue | ISSN |
92 | 4 | 0165-1684 |
Citations | PageRank | References |
43 | 1.49 | 13 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Vahid Abolghasemi | 1 | 274 | 22.58 |
| Saideh Ferdowsi | 2 | 147 | 10.85 |
| Saeid Sanei | 3 | 530 | 72.63 |