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7/5双正交小波的构造及图像编码应用
引用本文:高成秀,刘在德,王智平.7/5双正交小波的构造及图像编码应用[J].兰州理工大学学报,2006,32(2):89-92.
作者姓名:高成秀  刘在德  王智平
作者单位:1. 兰州工业高等专科学校,机械工程系,甘肃,兰州,730050
2. 西安交通大学,电子与信息工程学院,陕西,西安,710049
3. 兰州理工大学,材料科学与工程学院,甘肃,兰州,730050
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%.

关 键 词:双正交小波  滤波器  最佳编码增益  离散小波变换  提升  图像编码
文章编号:1673-5196(2006)02-0089-04
收稿时间:2005-06-23
修稿时间:2005年6月23日

Construction of 7/5 biorthogonal wavelet and its application to image coding
GAO Cheng-xiu,LIU Zai-de,WANG Zhi-ping.Construction of 7/5 biorthogonal wavelet and its application to image coding[J].Journal of Lanzhou University of Technology,2006,32(2):89-92.
Authors:GAO Cheng-xiu  LIU Zai-de  WANG Zhi-ping
Abstract: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.
Keywords:biorthogonal wavelet  filter bank  optimal coding gain  discrete wavelet transform  lifting  image coding
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