Abstract
The fast and accurate reconstruction of approximately sparse signal in compressed sensing is investigated. A new method of ASL0 (smoothed l0 norm with analysis) is proposed based on analysis model and SL0. Analysis approach can avoid the accumulative errors caused by synthesis approach, and the smoothed l0 norm makes the optimization process simpler. The simulation results on one-dimension piece-wise smooth signals demonstrate that ASL0 can reconstruct the signal accurately and lower the computational complexity, which shows ASL0 method is suitable to be used to reconstruct the approximately sparse signals.
| Original language | English |
|---|---|
| Pages (from-to) | 1094-1097 |
| Number of pages | 4 |
| Journal | Beijing Ligong Daxue Xuebao/Transaction of Beijing Institute of Technology |
| Volume | 30 |
| Issue number | 9 |
| Publication status | Published - Sept 2010 |
Keywords
- Compressed sensing
- L norm
- Smoothed l norm