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| 分数阶余弦和正弦变换的多样性 | |
| 引用本文： | 苏婷,董胜伟,孙秀燕,贾利新.分数阶余弦和正弦变换的多样性[J].河南教育学院学报(自然科学版),2008,17(4):7-9. |
| 作者姓名： | 苏婷 董胜伟 孙秀燕 贾利新 |
| 作者单位： | 1. 安阳工学院理学部,河南安阳,455000 2. 莱芜职业技术学院计算机系,山东莱芜,271100 3. 中国人民解放军信息工程大学电子技术学院,河南郑州,450004 |
| 摘 要： | 根据分数傅立叶变换的定义，分析了分数阶算子的分数化过程，给出了基于不同特征值的分数阶余弦变换的数学表达，指出了多样性的根源，在此基础了又分析了分数阶余弦和正弦变换与分数傅立叶变换之间的关系，找出了这种数学表达式下的它们具有的共同性质，找到了分数阶余弦变换多样性的统一．该结论在光学和信息处理等应用领域具有实用价值． |
| 关 键 词： | 傅立叶变换 分数阶余弦变换 正弦变换 |
Multiplicity of Fractional Cosine and Sine Transforms |
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| SU Ting,DONG Shengwei,SUN Xiuyan,JIA Lixin.Multiplicity of Fractional Cosine and Sine Transforms[J].Journal of Henan Education Institute(Natural Science Edition),2008,17(4):7-9. | |
| Authors: | SU Ting DONG Shengwei SUN Xiuyan JIA Lixin |
| Institution: | SU Ting, DONG Shengwei, SUN Xiuyan,JIA Lixin ( 1. Department of Science, Anyang Institute of Technology, Anyang 455000, China ; 2. Department of Computer, Laiwu Vocational College, Laiwu 271100, China ; 3.Electronic and Technology Institute, PLA Information Engineering University, Zhengzhou 450004, China) |
| Abstract: | Based on the definition of the fractional Fourier transform,analyze the processing of fractional operator's fractionation.Propose mathematical expression of fractional cosine transforms based on different character values,give the reason of multiplicity and analyze the relationship of fractional cosine,sine transforms and fractional Fourier transform.Find out their common features in this mathematical expression and the uniform of fractional cosine thansforms' multiplicity.The conclusion has practical values in signal and image processing and so on. |
| Keywords: | Fourier transform fractional cosine transform sine transform |
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