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Author:

Li, Yun-Zhang (Li, Yun-Zhang.) (Scholars:李云章) | Li, Ya-Nan (Li, Ya-Nan.)

Indexed by:

EI Scopus SCIE

Abstract:

Due to R+ not being a group under addition, L-2(R+) admits no traditional wavelet or Gabor frame. This paper addresses a class of dilation-and-modulation (MD) Parseval frames for L-2(R+). We present a parametric expression of all MD-Parseval frames (frame sequences) and MD-orthonormal bases (systems); and develop an approach to obtain all MD-Parseval frames (frame sequences) and MD-orthonormal bases (systems) starting with one MD-Parseval frame for L-2(R+).

Keyword:

Parseval frame orthonormal basis dilation-and-modulation system dilation-and-modulation Parseval frame Flame

Author Community:

  • [ 1 ] [Li, Yun-Zhang]Beijing Univ Technol, Dept Math, Fac Sci, Beijing 100124, Peoples R China
  • [ 2 ] [Li, Ya-Nan]Beijing Univ Technol, Dept Math, Fac Sci, Beijing 100124, Peoples R China

Reprint Author's Address:

  • [Li, Yun-Zhang]Beijing Univ Technol, Dept Math, Fac Sci, Beijing 100124, Peoples R China;;

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Source :

INTERNATIONAL JOURNAL OF WAVELETS MULTIRESOLUTION AND INFORMATION PROCESSING

ISSN: 0219-6913

Year: 2022

Issue: 01

Volume: 21

1 . 4

JCR@2022

1 . 4 0 0

JCR@2022

ESI Discipline: COMPUTER SCIENCE;

ESI HC Threshold:46

JCR Journal Grade:3

CAS Journal Grade:4

Cited Count:

WoS CC Cited Count: 1

SCOPUS Cited Count: 1

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 7

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