The redundant discrete wavelet transform and additive noise

被引：196

作者：

Fowler, JE ^{[1
]}

机构：

[1] Mississippi State Univ, Dept Elect & Comp Engn, Mississippi State, MS 39762 USA

[2] Mississippi State ERC, Visualizat Anal & Imaging Lab, Georesources Inst, Mississippi State, MS 39762 USA

来源：

IEEE SIGNAL PROCESSING LETTERS | 2005年 / 12卷 / 09期

基金：

美国国家科学基金会;

关键词：

additive noise; frame expansion; redundant wavelet transform;

D O I：

10.1109/LSP.2005.853048

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

The behavior under additive noise of the redundant discrete wavelet transform (RDWT), which is a frame expansion that is essentially an undecimated discrete wavelet transform, is studied. Known prior results in the form of inequalities bound distortion energy in the original signal domain from additive noise in frame-expansion coefficients. In this letter, a precise relationship between RDWT-domain and original-signal-domain distortion for additive white noise in the RDWT domain is derived.

引用

页码：629 / 632

页数：4

共 16 条

[1]

[Anonymous], 1997, A Wavelet Tour of Signal Processing

[2] ON THE REPRESENTATION OF OPERATORS IN BASES OF COMPACTLY SUPPORTED WAVELETS [J].

BEYLKIN, G .

SIAM JOURNAL ON NUMERICAL ANALYSIS, 1992, 29 (06) :1716-1740

[3]

Burrus C.S., 1998, introduction to Wavelets and Wavelet Transforms-A Primer

[4]

Cao JG, 2001, 2001 INTERNATIONAL CONFERENCE ON IMAGE PROCESSING, VOL II, PROCEEDINGS, P277, DOI 10.1109/ICIP.2001.958478

[5]

CUI S, IN PRESS IEEE T IMAG

[6]

Dutilleux P., 1990, WAVELETS TIME FREQUE, V222, P298, DOI [DOI 10.1007/978-3-642-97177-8_29, 10.1007/978-3-642-97177-8_29]

[7] Quantized overcomplete expansions in RN:: Analysis, synthesis, and algorithms [J].

Goyal, VK ;

Vetterli, M ;

Thao, NT .

IEEE TRANSACTIONS ON INFORMATION THEORY, 1998, 44 (01) :16-31

[8]

Holschneider M., 1990, Wavelets, P286

[9]

HUA L, 2002, P IEEE INT C MULT EX, V2, P553

[10] Noise reduction using an undecimated discrete wavelet transform [J].

Lang, M ;

Guo, H ;

Odegard, JE ;

Burrus, CS ;

Wells, RO .

IEEE SIGNAL PROCESSING LETTERS, 1996, 3 (01) :10-12

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