摘要
小波域去噪分析中,面对硬阈值函数不连续性在去噪过程中可能产生的振荡失真,软阈值函数在去噪过程中估计小波系数和分解小波系数之间的恒定偏差。提出了新的阈值函数,它连续性好且高阶可导,便于进行各种数学运算处理,能克服传统软硬阈值函数在去噪中的不足,达到更好去除噪声的效果。用新建的阈值函数对噪声信号进行仿真去噪,仿真实验数据表明,新阈值函数去噪效果优于传统的软硬阈值函数和一些现有的其它阈值函数法去噪。实验证明新的阈值函数实用可行。
In the wavelet domain de-noising analysis,in the face of the hard threshold function discontinuity,oscillation distortion may be produced in the process of de-noising. Soft threshold function makes constant deviation between estimating wavelet coefficients in the process of de-noising and decomposition of wavelet coefficients.This paper puts forward a new threshold function,which can guide good continuity and high order,convenient for various mathematical processing,can overcome the deficiency of traditional soft hard threshold function in the de-noising,get rid of the noise to achieve better effect. Using the new threshold function of the noise signal de-noising simulation,simulation experiment data show that the new de-noising threshold function is better than traditional hard and soft threshold function and some other existing threshold de-noising function method. The experiment proves that the new threshold function is practical and feasible.
作者
吴怀选
张磊
符楚君
杨永霞
WU Huai-xuan;ZHANG Lei;FU Chu-jun;YANG Yong-xia(College of Medical Information Engineering of Guangdong Pharmaceutical University,Guangzhou,Guangdong 510006,China)
出处
《计算技术与自动化》
2019年第2期80-84,共5页
Computing Technology and Automation
基金
广东省医学科学技术研究基金资助项目(B2017124)
关键词
小波变换
阈值函数
小波阈值去噪
信噪比
均方差
wavelet transform
threshold function
wavelet threshold de-noising
signal to noise ratio(SNR)
mean squared error(MSE)
