Discrete sampling formulas on spaces of \(p^{M}\)-periodic sequences for computational applications on edge detection. (English) Zbl 1077.94009
The authors introduce the notion of multiresolution analysis on the discrete sequence space. Based on it, sampling theorems are derived and truncation errors are estimated. These results can be compared with G. Walter’s theorem in functional spaces. In addition, one application for edge detection is given.
Reviewer: Youming Liu (Beijing)
MSC:
| 94A20 | Sampling theory in information and communication theory |
| 65T60 | Numerical methods for wavelets |
| 68T10 | Pattern recognition, speech recognition |
| 42C15 | General harmonic expansions, frames |
Keywords:
sampling formula; periodic sequences; multisolution analysis; discrete Fourier transform; edge detectionReferences:
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