摘要
对称小波或反对称小波具有线性相位或广义线性相位,因而在信号的分解和重构中非常重要,它可以避免信号失真。在工程中广泛使用的Daubechies小波和Symmlet小波都不是对称小波,作者使用的对称小波构造方法是一种通用的方法,并就Db4和Sym4小波构造了对称小波,构造出的对称小波的计算量是原先小波的一半,提高计算速度。仿真结果表明,由Db4构造的对称小波包与Db4小波包相比,在信号分解与重构过程中具有频率泄漏少、能量集中、计算量小和实时性好等优点。
Symmetric wavelets and anti-symmetric wavelets possess the characteristics of linear phase and generalized linear phase respectively, so that they are very important in signal decomposition and reconstruction, because the distortion of signals can be avoided by using them. Both the Daubechies wavelets and Symlets wavelets which are widely applied in engineering are not symmetric. The presented construction method of symmetric wavelets is a versatile one and the symmetric wavelets are constructed by Db4 and Sym4 wavelets. The calculation amount for the constructed wavelets is a half of that for former wavelets, so the calculation speed is improved. Simulation results show that in the fault signal decomposition and reconstruction the symmetric wavelet packet constructed by Db4 wavelet possesses the following advantages: less frequency leakage, more concentrated energy, less calculation amount and better real-time performance.
出处
《电网技术》
EI
CSCD
北大核心
2002年第11期7-10,共4页
Power System Technology
基金
国家自然科学基金(50077008)
广东省自然科学基金(980608)
关键词
对称小波构造方法
电机
故障信号处理
电力系统
小波函数
Daubechies wavelets
Symlets wavelets
symmetric wavelet
wavelet packet
decomposition and reconstruction
