✦ LIBER ✦
Average sampling in shift invariant subspaces with symmetric averaging functions
✍ Scribed by Wenchang Sun; Xingwei Zhou
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 236 KB
- Volume
- 287
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
✦ Synopsis
In this paper, we study the reconstruction of functions in shift invariant subspaces from local averages with symmetric averaging functions. We present an average sampling theorem for shift invariant subspaces and give quantitative results on the aliasing error and the truncation error. We show that every square integrable function can be approximated by its average sampling series. As special cases we also obtain new error bounds for regular sampling. Examples are given.