Sampling theorems of Shannon’s type on two-dimensional four-direction wavelet subspaces. (Chinese. English summary) Zbl 1438.94046
Summary: The Shanon’s type sampling theorem on four-direction to two-dimensional wavelet subspaces is given. Based on the Riesz basis of four-direction to two-dimensional multiresolution analysis, a uniform and non-uniform sampling formula of Shanon on four-direction to two-dimensional subspaces is constructed.
MSC:
| 94A20 | Sampling theory in information and communication theory |
| 94A24 | Coding theorems (Shannon theory) |
