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Author:

Li, Yun-Zhang (Li, Yun-Zhang.) (Scholars:李云章) | Zhao, Jing (Zhao, Jing.) (Scholars:赵京)

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Scopus SCIE

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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Author Community:

  • [ 1 ] [Li, Yun-Zhang]Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China
  • [ 2 ] [Zhao, Jing]Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China

Reprint Author's Address:

  • 李云章

    [Li, Yun-Zhang]Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China

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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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