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Average Sampling Theorems on Multidimensional Random Signals.
- Source :
- Numerical Functional Analysis & Optimization; 2021, Vol. 42 Issue 12, p1461-1487, 27p
- Publication Year :
- 2021
-
Abstract
- In this paper, a lower bounded of sequences on classical sampling theorem for random signals is given and is used to extend the applicable range of frame. The convergence property of sampling series, the estimate of truncation error both in mean square sense and for almost sure results on sampling theorem for multidimensional random signals from asymmetrical average sampling are analyzed. Using the new results on frames recently, the famous Shannon sampling theorem on multidimensional random signals has been extended with a new idea. [ABSTRACT FROM AUTHOR]
- Subjects :
- SAMPLING theorem
STATISTICAL sampling
Subjects
Details
- Language :
- English
- ISSN :
- 01630563
- Volume :
- 42
- Issue :
- 12
- Database :
- Complementary Index
- Journal :
- Numerical Functional Analysis & Optimization
- Publication Type :
- Academic Journal
- Accession number :
- 153456451
- Full Text :
- https://doi.org/10.1080/01630563.2021.1969949