Dilation-and-modulation Parseval frames in the half space-Reference-Cited by-同舟云学术

Dilation-and-modulation Parseval frames in the half space

Published:2022-08-29 Issue:01 Volume:21 Page:
ISSN:0219-6913
Container-title:International Journal of Wavelets, Multiresolution and Information Processing
language:en
Short-container-title:Int. J. Wavelets Multiresolut Inf. Process.

Author:

Li Yun-Zhang¹^ORCID,Li Ya-Nan¹

Affiliation:

1. Department of Mathematics, Faculty of Science, Beijing University of Technology, Beijing 100124, P. R. China

Abstract

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

Funder

National Natural Science Foundation of China

Publisher

World Scientific Pub Co Pte Ltd

Subject

Applied Mathematics,Information Systems,Signal Processing

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219691322500369

Reference26 articles.

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