Representation of Signal in Tight Wavelet Frame and Best Wavelet Base
-
摘要: 探讨了信号的小波标架表示与最佳小波基选择问题.首先对信号的小波标架表示与小波基表示的关系进行了描述,这个关系对于分析信号的小波标架表示是非常有用的;其次推导了周期小波标架的分解与重构的Mallat-塔式算法并证明了标架界为1的紧小波标架的周期化仍为标架界为1的紧小波标架;最后给出了基于小波标架算法和极小化加性代价函数的最佳小波基选择算法.Abstract: The subject on the representation of signal in tight wavelet frame and the selection of the best wavelet base was discussed. The relation between the wavelet frame representation and the wavelet base representations, which is very useful for interpreting the wavelet frame representation, is described. then the Mallat-pyramid algorithm for periodic tight wavelet frame decomposition and reconstruction is derived and it is proven that periodic wavelet frame by periodizing the tight wavelet frame with bound 1 in is a tight wavelet frame with bound 1. Finally based on the wavelet frame algorithm and criterion of minimizing an additive cost function, the selecting best wavelet base algorithm is proposed.
-
1. Mallat S. A theory of multiresolution signal decomposition:the wavelet representation. IEEE Trans PAMI, 1989, 11(7):674~693 2. Unser M. Texture classification and segmentation using wavelet frames. IEEE Trans Image Proc, 1995, 4:1549~1560 3. Mallat S, Zhong Z. Characterization of signals from multiscale edges. IEEE Trans PAMI, 1992,14(7):710~732 4. 李世雄,刘家琦. 小波变换和反演数学. 北京:地质出版社,1994. 44~49 5. Hess-Nielsen N, Wickerhauser M V. Wavelet and time-frequency analysis. Proc IEEE,1996, 84(4):523~540 6. Coifman R R, Wickerhauser M V. Entropy-based algorithms for best basis selection. IEEE Trans IT, 1992,38:713~718 7. Liang J, Parks T W. A translation-invariant wavelet representation algorithm with applications. IEEE Trans Signal Proc, 1996, 44(2):225~232 期刊类型引用(8)
1. 陈山，吴丽莎，张凯，程轶红，程亚萍，冯驰. 基于LoRa通信的大规模用电信息采集与传输系统设计. 自动化技术与应用. 2024(10): 153-157 . 
百度学术2. 肖萍，刘荆欣，王妍，臧洁. 一种视频多模态数据自适应采集策略. 小型微型计算机系统. 2023(02): 383-391 . 百度学术3. 刘烈君. 基于模糊自适应算法的无线视频多路径同步传输方法. 哈尔滨商业大学学报(自然科学版). 2022(01): 35-41 . 百度学术4. 孙璇. VR全景视频渲染输出安全性自动评价模型. 自动化技术与应用. 2022(06): 86-90 . 百度学术5. 徐积文，张永棠. 实时游戏中网络延迟对体验质量的影响. 中国测试. 2021(03): 150-158 . 百度学术6. 张帅，厉向东，卢国英. 基于三维虚拟VR技术的产品设计系统研究. 现代电子技术. 2021(14): 119-123 . 百度学术7. 李敏. 基于TCP协议的音频流媒体QoE的定量研究. 电声技术. 2020(05): 72-73 . 百度学术8. 赵雪彤. 多媒体网络中差异化视频信息分类传递技术. 计算机仿真. 2020(11): 189-193 . 百度学术其他类型引用(7)
-
百度学术
点击查看大图
计量
- 文章访问数: 3412
- HTML全文浏览量: 139
- PDF下载量: 980
- 被引次数: 15
下载:
