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中文摘要：
根据双正交小波精确重构条件,推导出了7/5双正交小波滤波器组的参数化表达式.该表达式参数可随意取值,因此能够任意构造具有不同特征的7/5线性相位小波滤波器.作为构造实例,构造了具有最佳编码增益的有理系数7/5小波滤波器.实验表明,它具有与CDF 9/7小波滤波器相似的图像压缩性能,而且其提升小波变换的计算效率可提高20%.
英文摘要：
The parametric expressions of 7/5 biorthogonal wavelet filter bank （FB） family were derived based on the perfect reconstruction condition of such wavelet. By assigning various arbitrary real numbers to the parameter in its expression, any 7/5 FB with different features can be constructed with ease; all of them have the linear phase. As an illustration, a rational-coefficient 7/5 FB with optimal coding gain was constructed. Extensive simulations showed that it has compact performance similar to that of the popular 9/7 FB by Cohen, Daubechies, and Feauveau for image coding, and the corresponding lifting of discrete wavelet transform （DWT） gains an improvement upon computational efficiency up to 20 % over the latter.
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