Title
The Abc-Problem For Gabor Systems And Uniform Sampling In Shift-Invariant Spaces
Keywords
Gabor frame; Infinite matrix; Sampling; Shift-invariant space; Uniform stability
Abstract
In this chapter, we identify ideal window functions χI on finite intervals I and time–frequency shift lattices aℤ × bℤ such that the corresponding Gabor systems (Formula presented) are frames for L2(ℝ). Also we consider a stable recovery of rectangular signals f in a shift-invariant space (Formula presented) from their equally-spaced samples f(t0 + µ), µ ϵ aℤ, for arbitrary initial sampling position t0.
Publication Date
1-1-2015
Publication Title
Applied and Numerical Harmonic Analysis
Issue
9783319132297
Number of Pages
177-194
Document Type
Article; Book Chapter
Personal Identifier
scopus
DOI Link
https://doi.org/10.1007/978-3-319-13230-3_8
Copyright Status
Unknown
Socpus ID
84989922230 (Scopus)
Source API URL
https://api.elsevier.com/content/abstract/scopus_id/84989922230
STARS Citation
Dai, Xin Rong and Sun, Qiyu, "The Abc-Problem For Gabor Systems And Uniform Sampling In Shift-Invariant Spaces" (2015). Scopus Export 2015-2019. 1356.
https://stars.library.ucf.edu/scopus2015/1356