| 常见小波的尺度进制求解算法与程序 |
| |
| 引用本文： | 黄苹,袁晓.常见小波的尺度进制求解算法与程序[J].成都信息工程学院学报,2011(4):144-148. |
| |
| 作者姓名： | 黄苹 袁晓 |
| |
| 作者单位： | 四川大学电子信息学院,四川成都610064 |
| |
| 摘 要： | 基于小波变换的稳定性函数来研究尺度进制的算法。用母波的频谱函数来构造出尺度进制为任意进制时的稳定性函数，根据稳定性函数计算小波框架的边界、紧致度和收敛因子，最后由框架参数值进一步计算得到尺度进制范围。结果表明，此范围有效地缓解了小波变换的稳定性和冗余性之间的矛盾。
|
| 关 键 词： | 框架理论 尺度采样 稳定性函数 紧致度 收敛因子 |
Scale Band Algorithm and Program of Common Wavelets |
| |
| HUANG Ping,YUAN Xiao.Scale Band Algorithm and Program of Common Wavelets[J].Journal of Chengdu University of Information Technology,2011(4):144-148. |
| |
| Authors: | HUANG Ping YUAN Xiao |
| |
| Institution: | (School of Electronic and Information, Sichuan University, Chengdu 610064,China) |
| |
| Abstract: | Based on the stability function of wavelet transform, algorithm about scale band is researched. For a given mother wavelet, stability function of arbitrary band is constructed by spectrum function of the mother wavelet. Border of wavelet frame is calculated according to the stability function as well as tight degree and convergence factor. With these important parameters of wavelet-frame calculated, a range of scale-sampling is further deducted finally. The results show that the range can relieve contradiction of the stability and redundancy. |
| |
| Keywords: | frame theory scale-sampling stability function tight degree convergence factor |
| 本文献已被 维普 等数据库收录！ |
