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

共 50 条

[21] REAL-VALUED FAST FOURIER-TRANSFORM ALGORITHMS
SORENSEN, HV
JONES, DL
HEIDEMAN, MT
BURRUS, CS
IEEE TRANSACTIONS ON ACOUSTICS SPEECH AND SIGNAL PROCESSING, 1987, 35 (06): : 849 - 863
[22] A FAST FOURIER TRANSFORM ALGORITHM FOR REAL-VALUED SERIES
BERGLAND, GD
COMMUNICATIONS OF THE ACM, 1968, 11 (10) : 703 - +
[23] Filterbank-based Fast Parallel Algorithms for Real-valued Discrete Gabor Expansion and Transform
Tao, Liang
Kwan, H. K.
Gu, Juan-juan
2010 IEEE INTERNATIONAL SYMPOSIUM ON CIRCUITS AND SYSTEMS, 2010, : 2674 - 2677
[24] Noise reduction for NMR FID signals via oversampled real-valued discrete Gabor transform
Tao, L
Kwan, HK
IEICE TRANSACTIONS ON INFORMATION AND SYSTEMS, 2005, E88D (07) : 1511 - 1518
[25] Novel DCT-Based Real-Valued Discrete Gabor Transform and Its Fast Algorithms
Tao, Liang
Kwan, Hon Keung
IEEE TRANSACTIONS ON SIGNAL PROCESSING, 2009, 57 (06) : 2151 - 2164
[26] Practical image encryption scheme by real-valued data
Yang, HG
Kim, ES
OPTICAL ENGINEERING, 1996, 35 (09) : 2473 - 2478
[27] Real-valued discrete Gabor transforms for discrete signal and image representation
Tao, L
Chen, GJ
CHINESE JOURNAL OF ELECTRONICS, 2001, 10 (04): : 444 - 449
[28] A shift-invariant discrete wavelet transform
SariSarraf, H
Brzakovic, D
IEEE TRANSACTIONS ON SIGNAL PROCESSING, 1997, 45 (10) : 2621 - 2626
[29] TRANSLATION INVARIANT COMPLEX DISCRETE WAVELET TRANSFORMS
Zhang, Zhong
Toda, Hiroshi
PROCEEDINGS OF 2008 INTERNATIONAL CONFERENCE ON WAVELET ANALYSIS AND PATTERN RECOGNITION, VOLS 1 AND 2, 2008, : 699 - 704
[30] Block Time-Recursive Algorithms for DCT-Based Real-Valued Discrete Gabor Transform
Gu, Juan-juan
Tao, Liang
2008 ISECS INTERNATIONAL COLLOQUIUM ON COMPUTING, COMMUNICATION, CONTROL, AND MANAGEMENT, VOL 2, PROCEEDINGS, 2008, : 70 - +

← 1 2 3 4 5 →