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中文摘要：
分析了复小波的优点,根据正交小波构造的条件,采用“保持实小波滤波器的幅频特性,改变其相频特性”的方法,构造了与相应实小波具有相同幅频特性、不同相频特性的复小波,并论证了该构造法的正确性,给出了具体的方法和步骤以及所构造的db4复小波滤波器组系数,并以此复小波为例研究从白噪声中提取局部放电信号.
英文摘要：
This paper analyses the advantages of complex wavelet. According to the construction conditions of orthonormal wavelet, by remaining amplitude-spectrum characteristic of real wavelet filter and changing its phase-frequency characteristic, complex wavelets is constructed with the same amplitude-frequency characteristic and different phase-frequency characteristic. And then the correctness of this method is verified and the steps in detail are presented. Finally, db4 complex wavelet is constructed and used to extract the PDs from white noise.
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