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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+).
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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
Affiliated Colleges: