摘要
本文通过引入改进的Morlet小波变换核函数,得到了等幅值的Morlet小波变换(MMWT)和功率谱(MMPS).理论及实验均表明,MMPS不但能够准确的确定信号的局部周期,而且使相同振幅(强度)的谐波产生了相同大小的MMPS,弥补了MPS的不足.对于MMWT还给出了相应的Morlet小波变换尺度与频率转化公式.
In this paper,we construct an equal-amplitude Morlet wavelet transform (MMWT) and Morlet wavelet power spectrum (MMPS) by introducing the modified transform kernel of MWT.Theory and experiments show that MMPS can not only determine the transient frequency of signals,but also make the same amplitude harmonic generate the same MMPS,which compensate for the deficiency of MPS.Additionally,the scale and frequency conversion formula for MMWT is deduced.
出处
《应用数学》
CSCD
北大核心
2010年第2期395-400,共6页
Mathematica Applicata
基金
国家高技术研究发展计划(863)项目(2009AA12Z203
2008AA12Z201)