基于第二代小波变换的脉搏信号去噪处理Denoising of the pulse signal based on the second generation wavelet transform
陈卫东,雷军
摘要(Abstract):
小波变换在信号处理中有着广泛的应用,但是传统小波变换依赖于傅立叶变换,有大量的卷积运算,运算速度较慢。本文介绍了第二代小波变换的基本原理,并用其处理脉搏波信号。在滤除噪声时采用了一种新的阈值函数,消除了软阈值法和硬阈值法的局限性,第二代小波变换的结果与传统小波变换的结果对比表明第二代小波变换的处理效果优于传统的小波变换。
关键词(KeyWords): 第二代小波变换;脉搏信号处理;阈值函数;去噪
基金项目(Foundation):
作者(Author): 陈卫东,雷军
参考文献(References):
- [1]Sweldens W.The lifting scheme:A custom design con-struction of biorthogonal wavelets[J].Applied andComputational Harmonic Analysis,1996,3(2).
- [2]Sweldens W.Lossles image compression using integer tointeger wavelet transforms[J].International conferenceon image processing,1997,1(1).
- [3]Antonini M,Barlaud,Mathieup etal.Image coding u-sing the wavelet transform[J].IEEE Transaction on im-age processing,1992,1(2).
- [4]R Calderbank,IDaubechinces,W Sweldens,Boon-Lock Yeo.Wavelet transforms that ma Pinter-gers to in-tergers[J].A PPlied and computation-nal harmonicanalysis,1998,4(3).
- [5]Donohodl,Johnstone L,I M.Adapting to unknownsmoothness via wavelet shrinkage[J].Journal of the A-merican Statistical Association,1995,90.
- [6]杨慧中,钟豪,丁峰.基于多重小波变换的信号去噪及其在软测量中的应用[J].仪器仪表学报,2007,28(7).
- [7]郑作亚,等.一类小波基函数的构造及其在测量数据处理中的应用探讨[J].测绘科学,2007,32(3).
- [8]Donohodl Denosing by soft thresholding[J].IEEE Tramon IT,1995,41(3).