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分数阶小波包时频域的信号去噪新方法
引用本文:黄雨青,王友仁,罗慧,孔德明.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).
作者姓名:黄雨青  王友仁  罗慧  孔德明
作者单位:南京航空航天大学自动化学院 南京210016
基金项目:航空科学基金(No.2009ZD52045); 江苏省研究生科研创新计划项目(No.CX10B_098Z); 南京航空航天大学基本科研业务费专项科研项目(No.NS2010065)资助项目
摘    要:为了提高信号去噪的效果,提出了一种基于分数阶小波包变换(FRWPT)的信号去噪新方法。该方法根据输出信号信噪比的大小,用迭代法寻找分数阶小波包变换的最优分数阶p值,通过分数阶小波包变换将带噪信号映射到最优分数阶小波包时频域内,对变换后的信号进行窄带通滤波,最后通过分数阶小波包逆变换对信号进行重构,实现分数阶小波包时频域内的信号去噪。以带噪Bumps信号和语音信号为例的去噪实验结果表明,采用该方法去噪后的信号信噪比明显提高,在抑制噪声的同时可以有效保持细节信息。

关 键 词:信号去噪  分数阶小波包变换  小波变换  分数阶Fourier变换  

New signal de-noising method based on fractional wavelet packet transform in time-frequency domain
Huang Yuqing,Wang Youren,Luo Hui,Kong Deming.New signal de-noising method based on fractional wavelet packet transform in time-frequency domain[J].Chinese Journal of Scientific Instrument,2011,32(7).
Authors:Huang Yuqing  Wang Youren  Luo Hui  Kong Deming
Affiliation:Huang Yuqing,Wang Youren,Luo Hui,Kong Deming (College of Automation Engineering,Nanjing University of Aeronautics and Astronautics,Nanjing 210016,China)
Abstract:In order to improve the de-noising effect in signal de-noising,a novel signal de-noising method based on fractional wavelet packet transform(FRWPT) is proposed in this paper.The optimal fractional order of FRWPT is obtained with an iterative algorithm according to the SNR of output signals.Noisy signal is transformed into optimal factional wavelet packet time-frequency domain using an optimal FRWPT.Then,the transformed signal is filtered with a narrow band-pass filter.Finally,the signal is reconstructed wit...
Keywords:signal de-noising  fractional wavelet packet transform  wavelet transform  fractional Fourier transform  
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