全部 标题 作者
关键词 摘要

OALib Journal期刊
ISSN: 2333-9721
费用:99美元

查看量下载量

相关文章

更多...
电子学报  2014 

基于离散分数阶正交小波变换图像降噪新方法

, PP. 280-287

Keywords: 分数阶小波变换,小波变换,多分辨率分析,图像降噪

Full-Text   Cite this paper   Add to My Lib

Abstract:

分数阶小波变换是小波变换时间-频域的分析方法在时间-分数阶频率域的推广,在时间和分数阶频率域具有表征信号特征的能力.本文在离散分数阶正交小波变换(DFRWT)多分辨率分析(MRA)理论基础上,推导出DFRWT系数分解及重构新形式并作二维扩展.根据图像DFRWT子带系数能量随不同阶数p变化的特点,提出基于DFRWT阈值降噪新方法.该方法在保持子带低频能量为绝对大值条件下,适当提高子带高频能量值,更利于抑制图像噪声.实验结果表明,与传统小波阈值降噪方法相比,该方法主观质量得到了明显增强,提高了峰值信噪比.

References

[1]  孟祥意, 陶然, 王越.分数阶傅里叶域两通道滤波器组[J].电子学报, 2008, 36(5):919-926. Meng Xiang-yi, Tao Ran, Wang Yue.The fractional fourier domain analysis of two channel filter banks[J].Acta Electronica Sinica, 2008, 36(5):919-926.(in Chinese)
[2]  孟祥意, 陶然, 王越.分数阶傅里叶域两通道滤波器组的一般化设计方法[J].电子学报, 2009, 37(9):2046-2051. Meng Xiang-yi, et al.Generalized design method of multirate filter banks in the fractional fourier domain[J].Acta Electronica Sinica, 2009, 37(9):2046-2051.(in Chinese )
[3]  L B Almeida.The fractional fourier transform and time-frequency representations[J].IEEE Trans Signal Processing, 1994, 42(11):3084-3091.
[4]  A I Zayed.A convolution and product theorem for the fractional fourier transform[J].IEEE Signal Processing Letters, 1998, 5(4):101-103.
[5]  F Ruggeri, B Vidakovic.A Bayesian decision theoretic approach to wavelet thresholding[J].Statist Sinica, 1999, 9(1):183-197.
[6]  D L Donoho.De-noising by soft-thresholding[J].IEEE Trans Inform Theory, 1995, 41(5):613-627.
[7]  Shi Jun, Zhang Nai-tong, Liu Xiao-ping.A novel fractional wavelet transform and its applications[J].Science China Information Sciences, 2012, 55(6):1270-1279.
[8]  陈, 彭钰林, 王舒文.从离散到连续-分数阶信号处理的理论、方法与应用[J].电子学报, 2012, 40(11):2282-2289. Chen Zhe, Peng Yu-lin, Wang Shu-wen.From discrete to continuous-fractional signal processing theories, methods and applications[J].Acta Electronica Sinica, 2012, 40(11):2282-2289.(in Chinese )
[9]  Mendlovic D, Zalevsky Z, Mas D.Fractional wavelet transform[J].Applied Optics, 1997, 36(20):4801-4806.
[10]  Ying Huang.The fractional wave packet transform[J].Multidimensional Systems and Signal Processing, 1998, 4(9):399-402.
[11]  黄雨青, 王友仁, 罗慧.分数阶小波包时频域的信号去噪新方法[J].仪器仪表学报, 2011, 32(7):1534-1538. Huang Yu-qing, Wang You-ren, Luo Hui.A new signal de-noising method based on fractional wavelet packet transform in time-frequency domain[J].Chinese Journal of Scientific Instrument, 2011, 32(7):1534-1538.(in Chinese)
[12]  Gaurav Bhatnagar, Q M Jonathan Wu.Biometrics inspired watermarking based on a fractional dual tree complex wavelet transform[J].Future Generation Computer Systems, 2012, 29(1):182-195.
[13]  Gaurav Bhatnagar, Q M Jonathan Wu, Balasubramanian raman.discrete fractional wavelet transform and its application to multiple encryption[J].Future Generation Computer Systems, 2013, 223(20):297-316.
[14]  Shi J, Liu X, Zhang N.Multiresolution analysis and orthogonal wavelets associated with fractional wavelet transform[J/OL].http://link.springer.com/article/10.1007/ s11760-013-0498-2, 2013-8-27.
[15]  Soo-Chang Pei, Min-Hung Yeh.Two dimensional discrete fractional Fourier transform[J].Signal Processing, 1998, 67(1):99-108.
[16]  Ingrid Daubechies.小波十讲[M].李建平, 杨万年译.北京.国防工业出版社, 2004.

Full-Text

Contact Us

service@oalib.com

QQ:3279437679

WhatsApp +8615387084133