Name
Title | ||
|---|---|---|
Sigma-Delta quantization of sub-Gaussian frame expansions and its application to compressed sensing. |
Abstract | ||
|---|---|---|
Suppose that the collection $\{e_{i}\}_{i=1}^{m}$ forms a frame for ℝk, where each entry of the vector ei is a sub-Gaussian random variable. We consider expansions in such a frame, which are then quantized using a Sigma–Delta scheme. We show that an arbitrary signal in ℝk can be recovered from its quantized frame coefficients up to an error which decays root-exponentially in the oversampling rate ... |
Year | DOI | Venue |
|---|---|---|
2013 | 10.1093/imaiai/iat007 | Information and Inference: A Journal of the IMA |
Keywords | Field | DocType |
compressed sensing,quantization,random frames,root-exponential accuracy,Sigma–Delta,sub-Gaussian matrices | Discrete mathematics,Random variable,Mathematical optimization,Oversampling,Polynomial,Gaussian,Residual frame,Quantization (physics),Quantization (signal processing),Compressed sensing,Mathematics | Journal |
Volume | Issue | ISSN |
3 | 1 | 2049-8764 |
Citations | PageRank | References |
16 | 0.67 | 15 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Felix Krahmer | 1 | 369 | 27.16 |
| Rayan Saab | 2 | 149 | 14.56 |
| Özgür Yilmaz | 3 | 685 | 51.36 |