摘要
为改进第二代小波算法,本文根据提升格式,利用样条插值构造一组新的预测算子和更新算子,由此构造的第二代小波在保证其振幅衰减、局部非零、具有波动性特征外,其正则性较高;同时实现基于样条插值的第二代小波变换,验证其提取高频信号的有效性,给出用第二代小波稀疏表达式来进行函数逼近的方法。数值试验表明该算法的可行性和有效性。
Based on lifting scheme,the new prediction operator and update operator are constructed to modify the second generation wavelet algorithm by spline interpolation.The new second generation wavelet not only has the characteristics of the amplitude attenuation,local non-zero and volatility,but also has high regularity.Simultaneously,the new second generation wavelet transform is developed by spline interpolation,and it’s effectiveness for extraction of high-frequency signal is verified.Specific method for function approximation by sparse expression of the new second generation wavelet is given.Numerical experiments show the feasibility and effectiveness of the algorithm.
出处
《计算机与现代化》
2013年第7期76-79,共4页
Computer and Modernization
关键词
第二代小波变换
提升格式
样条插值
函数逼近
the second generation wavelet transform
lifting scheme
spline interpolation
function approximation
