| 三种光学变换的特征空间描述 |
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| 引用本文： | 王远干. 三种光学变换的特征空间描述[J]. 钦州师范高等专科学校学报, 2006, 21(3): 12-16 |
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| 作者姓名： | 王远干 |
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| 作者单位： | 重庆大学光电技术及系统国家教育部重点实验室,重庆400030 |
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| 摘 要： | 光学信息处理中常用的方法有傅里叶变换、分数傅里叶变换及小波变换,三种变换各有其特征和适用的范围.从变换的特征子空间出发,用每种变换的特征值和特征函数,分析了三种光学变换的特征,揭示三种变换的本质区别,阐明了各自的适用范围及优缺点.用三种变换对含噪信号进行了去噪实验,实验结果验证了三种变换的特征.
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| 关 键 词： | 傅里叶光学 分数傅里叶变换 小波变换 特征子空间 |
| 收稿时间： | 2006-05-21 |
The characterization of Three Optical Transforms in Eigenspace |
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| WANG Yuan-gan. The characterization of Three Optical Transforms in Eigenspace[J]. Journal of Qinzhou Teachers College, 2006, 21(3): 12-16 |
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| Authors: | WANG Yuan-gan |
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| Affiliation: | Key Laboratory of Opto -electronic Technology and System, MOE, Chongqing University, Chongqing 400030, China |
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| Abstract: | There are three common methods in optical information processing, namely, Fourier Transform, Fractional Fourier Transform and Wavelet Transform. The three transforms have their own respective characteristicsand applied areas. Starting from the eigenspace of the three transforms, the paper analyzes the characteristics of the transforms, announces their essential differences, clarifiestheir meritsand demerits andtheir respective applied areas by using eigenvalue and eigenfunction of everytransform. The de -noise experiment proves the characteristics of every transform. |
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| Keywords: | Fourier Optics Fractional Fourier Transform Wavelet Transform Eigen - subspace |
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