Design for equal-even length biorthogonal wavelet filter banks

Computer Engineering and Applications ›› 2012, Vol. 48 ›› Issue (31): 89-92.

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Design for equal-even length biorthogonal wavelet filter banks

YANG Aiping, ZHANG Jinxia, LIU Jianzhong, HOU Zhengxin

School of Electronic Information Engineering, Tianjin University, Tianjin 300072, China

Online:2012-11-01 Published:2012-10-30

紧支撑等偶长度双正交小波滤波器组设计

杨爱萍，张金霞，刘建忠，侯正信

天津大学电子信息工程学院，天津 300072

Abstract

Abstract: This paper presents a new class of biorthogonal wavelet filter banks, named equal-even length biorthogonal wavelet filter banks. Based on formula deduced, detailed designing steps and special characteristics are studied. It also gives the design for equal-even length Bior 5.3 as an example. The paper applies this kind of wavelet into image edge detection, and shows that the proposed wavelets have better performance in edge detection.

Key words: filter banks, equal-even length biorthogonal wavelet, edge-symmetric extension, image edge detection

摘要： 提出了一类特殊的双正交小波滤波器组，即等偶长度双正交小波滤波器组；推导其设计公式，给出详细的设计步骤，分析这类小波的特殊性质，给出了等偶Bior 5.3滤波器组的设计实例。将这一类滤波器运用到图像的边缘检测中，表现出了优异的边缘检测性能。

关键词: 滤波器组, 等偶长度双正交小波, 边界对称延拓, 边缘检测

YANG Aiping, ZHANG Jinxia, LIU Jianzhong, HOU Zhengxin. Design for equal-even length biorthogonal wavelet filter banks[J]. Computer Engineering and Applications, 2012, 48(31): 89-92.

杨爱萍，张金霞，刘建忠，侯正信. 紧支撑等偶长度双正交小波滤波器组设计[J]. 计算机工程与应用, 2012, 48(31): 89-92.

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Design for equal-even length biorthogonal wavelet filter banks

紧支撑等偶长度双正交小波滤波器组设计

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