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Author:

Lian, Qiaofang (Lian, Qiaofang.) | Lian, Yunfang (Lian, Yunfang.) | You, Minghou (You, Minghou.)

Indexed by:

EI Scopus SCIE

Abstract:

In this paper, we focus on the construction of Wilson frames and their dual frames for general lattices of volume 1/K (K even) in the discrete-time setting. We obtain a necessary and sufficient condition for two Bessel sequences having Wilson structure to be dual frames for l(2)(Z). When the window function satisfies some symmetry property, we obtain a characterization of a Wilson system to be a tight frame for l(2)(Z), show that a Wilson frame for l(2)(Z) can be derived from the underlying Gabor frame, and that the dual frame having Wilson structure can also be derived from the canonical Gabor dual of the underlying Gabor frame.

Keyword:

dual frame Wilson frame general lattice Wilson system Gabor frame

Author Community:

  • [ 1 ] [Lian, Qiaofang]Beijing Jiaotong Univ, Dept Math, Beijing 100044, Peoples R China
  • [ 2 ] [Lian, Yunfang]Beijing Jiaotong Univ, Dept Math, Beijing 100044, Peoples R China
  • [ 3 ] [You, Minghou]Beijing Univ Technol, Pilot Coll, Beijing 101101, Peoples R China

Reprint Author's Address:

  • [You, Minghou]Beijing Univ Technol, Pilot Coll, Beijing 101101, Peoples R China

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Source :

INTERNATIONAL JOURNAL OF WAVELETS MULTIRESOLUTION AND INFORMATION PROCESSING

ISSN: 0219-6913

Year: 2012

Issue: 5

Volume: 10

1 . 4 0 0

JCR@2022

ESI Discipline: COMPUTER SCIENCE;

Cited Count:

WoS CC Cited Count: 2

SCOPUS Cited Count: 3

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 0

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