Name
Title | ||
|---|---|---|
Exponential approximation of multivariate bandlimited functions from average oversampling |
Abstract | ||
|---|---|---|
Instead of sampling a function at a single point, average sampling takes the weighted sum of function values around the point. Such a sampling strategy is more practical and more stable. In this note, we present an explicit method with an exponentially-decaying approximation error to reconstruct a multivariate bandlimited function from its finite average oversampling data. The key problem in our analysis is how to extend a function so that its inverse Fourier transform decays at an optimal rate to zero at infinity. |
Year | DOI | Venue |
|---|---|---|
2014 | 10.1080/00036811.2020.1728258 | APPLICABLE ANALYSIS |
Keywords | Field | DocType |
Average sampling, exponential decayness, multivariate bandlimited functions, the Shannon sampling theorem | Mathematical optimization,Exponential function,Bandlimiting,Oversampling,Mathematical analysis,Multivariate statistics,Infinity,Fourier transform,Sampling (statistics),Approximation error,Mathematics | Journal |
Volume | Issue | ISSN |
101 | 1 | 0003-6811 |
Citations | PageRank | References |
0 | 0.34 | 5 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Wenjian Chen | 1 | 0 | 0.34 |
| Haizhang Zhang | 2 | 0 | 0.34 |