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Semi-Average Sampling for Shift-Invariant Signals in a Mixed Lebesgue Space.
- Source :
-
Numerical Functional Analysis & Optimization . 2020, Vol. 41 Issue 9, p1045-1064. 20p. - Publication Year :
- 2020
-
Abstract
- This article mainly studies the nonuniform and semi-average sampling of time-varying shift-invariant signals living in a mixed Lebesgue space L p , q (R d + 1) , under the condition that the generator φ of the shift-invariant subspace belongs to a hybrid-norm space of mixed form depending on the orders p and q. First, the sampling stability for two kinds of semi-average sampling functionals is established. Then, we give the corresponding iterative approximation projection algorithms with exponential convergence for recovering the time-based shift-invariant signals from the semi-average samples. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 01630563
- Volume :
- 41
- Issue :
- 9
- Database :
- Academic Search Index
- Journal :
- Numerical Functional Analysis & Optimization
- Publication Type :
- Academic Journal
- Accession number :
- 144577765
- Full Text :
- https://doi.org/10.1080/01630563.2020.1737815