Practical design of perfect-translation-invariant real-valued discrete wavelet transform

被引：12

作者：

Toda, Hiroshi ^{[1
]}

Zhang, Zhong ^{[1
]}

Imamura, Takashi ^{[1
]}

机构：

[1] Toyohashi Univ Technol, Dept Prod Syst Engn, 1-1 Hibarigaoka Tenpaku Cho, Toyohashi, Aichi 4418580, Japan

来源：

INTERNATIONAL JOURNAL OF WAVELETS MULTIRESOLUTION AND INFORMATION PROCESSING | 2014年 / 12卷 / 04期

关键词：

Perfect translation invariance; shift invariance; real-valued wavelet frame; approximate tight wavelet frame;

D O I：

10.1142/S0219691314600054

中图分类号：

TP31 [计算机软件];

学科分类号：

081202 ; 0835 ;

摘要：

The real-valued tight wavelet frame having perfect translation invariance (PTI) has already proposed. However, due to the irrational-number distances between wavelets, its calculation amount is very large. In this paper, based on the real-valued tight wavelet frame, a practical design of a real-valued discrete wavelet transform (DWT) having PTI is proposed. In this transform, all the distances between wavelets are multiples of 1/4, and its transform and inverse transform are calculated fast by decomposition and reconstruction algorithms at the sacrifice of a tight wavelet frame. However, the real-valued DWT achieves an approximate tight wavelet frame.

引用

页数：27

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