Dilation-and-modulation Parseval frames in the half space

被引：1

作者：

Li, Yun-Zhang ^{[1
]}

Li, Ya-Nan ^{[1
]}

机构：

[1] Beijing Univ Technol, Dept Math, Fac Sci, Beijing 100124, Peoples R China

来源：

INTERNATIONAL JOURNAL OF WAVELETS MULTIRESOLUTION AND INFORMATION PROCESSING | 2023年 / 21卷 / 01期

基金：

中国国家自然科学基金;

关键词：

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

D O I：

10.1142/S0219691322500369

中图分类号：

TP31 [计算机软件];

学科分类号：

081202 ; 0835 ;

摘要：

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+).

引用

页数：16

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