摘要
针对在小波和小波包分解中最大分解层的确定多凭借经验,同时为避免过度分解造成的假频,提出一个确定最大分解层的实用方法。该方法不仅利用数据长度和小波阶数,还进一步利用数据的振幅谱以及尺度函数和小波函数的中心频率,从而使得该方法能有效避免小波和小波包过度分解产生的假频。实例应用表明了该方法的有效性和实用性。
In view of the fact that the maximum wavelet and wavelet packet decomposition level is usually obtained through experience and pseudo-frequencies may result due to over-decomposition, a practical method of determining maximum decomposition level is proposed, which not only makes use of data length and wavelet-order but also of data amplitude spectrum and central frequencies of scaling and wavelet functions. So the pseudo-frequencies caused by scaling and wavelet functions can be avoided efficiently. Example shows that the proposed method is effective and practical.
出处
《科技导报》
CAS
CSCD
2008年第10期40-42,共3页
Science & Technology Review
基金
国家自然科学基金项目(40774071)
关键词
最大分解层
小波阶数
频率范围
中心频率
振幅谱
maximum decomposition level
wavelet-order
frequencyrange
central frequency
amplitude spectrum
