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Abstract:
The notion of weak dual frames is a generalization of that of dual frames. Gabor analysis on discrete periodic sets has potential applications in signal processing. This paper addresses vector-valued weak Gabor dual frames on discrete periodic sets. We introduce the notions of its weak oblique Gabor dual, weak Gabor duals of types I and II for a Gabor system on a discrete periodic set. Using the Zak-transform matrix method, we characterize these three kinds of weak duals and their uniqueness. Finally, we give an explicit expression of a class of weak Gabor duals and provide some examples. Published under license by AIP Publishing.
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Source :
JOURNAL OF MATHEMATICAL PHYSICS
ISSN: 0022-2488
Year: 2019
Issue: 7
Volume: 60
1 . 3 0 0
JCR@2022
ESI Discipline: PHYSICS;
ESI HC Threshold:123
JCR Journal Grade:2
Cited Count:
WoS CC Cited Count: 4
SCOPUS Cited Count: 4
ESI Highly Cited Papers on the List: 0 Unfold All
WanFang Cited Count:
Chinese Cited Count:
30 Days PV: 8
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