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中文摘要：
从二带完全重构滤波器组的概念出发,经理论推导提出了由实数Daubichies小波获得复数Daubichies小波的系统构造方法,并通过实例验证了该方法的正确性.在此基础上,深入研究了最大正则阶条件下,不同零点分布与复值滤波器及复值小波函数相应形式之间的关系,给出了当最大正则阶分别取奇数和偶数时,复值滤波器和复值小波函数在不同零点分布下的可能形式.
英文摘要：
Proceeding from the two-band perfect reconstruction filter banks,a systematic constructing method deriving complex Daubichies wavelets from the real ones is proposed on the bases of theory and then the rightness of the method is tested by real examples.Next,the relationship between the different distribution of the zeros and the related forms of complex filters or complex wavelets is studied deeply under the largest rank of regularity.Last,the probably forms of complex filters and complex wavelets are presented when the largest rank of regularity is odd or even.
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