计算机工程与应用 ›› 2007, Vol. 43 ›› Issue (35): 222-225.

• 工程与应用 • 上一篇    下一篇

基于提升格式的紧支集双正交小波的设计

梁 茜,丁宣浩   

  1. 桂林电子科技大学 数学与计算科学学院,广西 桂林 541004
  • 收稿日期:1900-01-01 修回日期:1900-01-01 出版日期:2007-12-11 发布日期:2007-12-11
  • 通讯作者: 梁 茜

Construction of compactly supported biorthogonal wavelet based on lifting scheme

LIANG Qian,DING Xuan-hao   

  1. School of Mathematics and Computing Science,Guilin University of Electronic Technology,Guilin,Guangxi 541004,China
  • Received:1900-01-01 Revised:1900-01-01 Online:2007-12-11 Published:2007-12-11
  • Contact: LIANG Qian

摘要: 通过研究提升格式构造完全重构滤波器的方法,并结合传统的双正交小波的构造理论,得到了构造基于提升格式的双正交紧支集小波的方法。同时列举滤波器长度为4-4,消失矩为2-1的基于提升格式的双正交小波的构造实例。将所构造出的小波实例用于信号和图像消噪,发现在滤波器长度相同的前提下,基于提升格式的小波的消噪效果优于普通小波,并且用自适应的方法在已求得的范围内找出达到最佳消噪效果的自由变量的取值。

关键词: 提升格式, 双正交小波, 完全重构条件, 紧支集

Abstract: Basing of construction perfect reconstruction filter and together with traditional construction biorthonormal wavelet theory,we obtain the method which constructs compactly supported biorthogonal wavelet based on lifting scheme.And an example about the construction of biorthonormal wavelet with length 4-4 and with vanishing moment 2-1 is given.Some other examples of wavelet are applied to signal denoise.We can find a result that with some length,wavelet based on lifting scheme denoises better than ordinary wavelet,we also using adaptive method to search free variable,which is denoised best.

Key words: lifting scheme, biorthogonal wavelet, perfect reconstruction condition, compact support