| 三进小波尺度函数序列的特性及构造 |
| |
| 引用本文： | 赵瑞珍,王卫卫,宋国乡.三进小波尺度函数序列的特性及构造[J].系统工程与电子技术,2002,24(6):1-4. |
| |
| 作者姓名： | 赵瑞珍 王卫卫 宋国乡 |
| |
| 作者单位： | 西安电子科技大学理学院,陕西,西安,710071 |
| |
| 基金项目： | 国家自然科学基金资助课题 (69972 0 3 4) |
| |
| 摘 要： | 为了克服二进小波的缺陷和拓宽小波的应用 ,研究了M进小波的多分辨分析和正交性条件 ,给出了一种构造正交三进小波尺度函数对应的滤波器系数的新方法 ,得出了M进小波尺度传递函数对应的有限冲激响应系数最少为MN(N为小波函数的消失矩或阶数 )个的结论 ,并指出了它在图像压缩中具有的潜在优势
|
| 关 键 词： | 三进小波 尺度函数 消失矩 滤波器 图像压缩 |
| 文章编号： | 1001-506X(2002)06-0001-04 |
| 修稿时间： | 2001年6月9日 |
Properties and Construction of Rank 3 Wavelet Scaling Sequences |
| |
| ZHAO Rui zhen,WANG Wei wei,SONG Guo xiang.Properties and Construction of Rank 3 Wavelet Scaling Sequences[J].System Engineering and Electronics,2002,24(6):1-4. |
| |
| Authors: | ZHAO Rui zhen WANG Wei wei SONG Guo xiang |
| |
| Abstract: | To overcome the disadvantages of the dyadic wavelet and extand the scope of wavelet applications, the multiresolution analysis and orthogonal condition of rank M wavelet are studied. A new method for constructing the filter coefficients corresponding to the rank 3 wavelet scaling function is presented. And the conclusion is drawn that the number of the FIR coefficients corresponding to the rank M wavelet scaling function is at least MN , where N is the vanishing moment of the vavelet function. Rank M wavelet has potential advantages over the traditional wavelets in image compression. |
| |
| Keywords: | Rank 3 wavelet Scaling function Vanishing moment Filter Image compression |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
|
