| 光学小波变换中的Mexican—hat小波母函数特性 |
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| 引用本文： | 田逢春.光学小波变换中的Mexican—hat小波母函数特性[J].重庆大学学报(自然科学版),2002,25(12):62-65,73. |
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| 作者姓名： | 田逢春 |
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| 作者单位： | 重庆大学通信工程学院 重庆400044 |
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| 基金项目： | 高等学校骨干教师资助项目 (GG -5 10 -10 611-10 3 1) |
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| 摘 要： | 分析了一种可以用于光学小波滤波器的Mexican-hat小波母函数（墨西哥帽状小波），讨论了其时－频局部化特性、容许性条件（重建条件）、正则性阶数、正交性等性质，纠正了许多文献中关于二维母小波非张量积形式由一维母小波函数直接旋转得到的错误，证明了Mexican-hat小波不能用作传统的计算机离散小波变换母函数，但用于采用光学方法实现二维小波变换则有很好的能量集中特性。
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| 关 键 词： | 小波变换 光学实现 Mexican－hat 小波母函数 光学滤波器 信号处理 |
| 文章编号： | 1000-582X(2002)12-0062-04 |
A Research on the Characteristics of Mexican-hat Mother Wavelet Used in Optic Realization |
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| TIAN Feng,chun.A Research on the Characteristics of Mexican-hat Mother Wavelet Used in Optic Realization[J].Journal of Chongqing University(Natural Science Edition),2002,25(12):62-65,73. |
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| Authors: | TIAN Feng chun |
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| Abstract: | The Mexican hat mother wavelet used in optic realization is analysed. Its characteristics on time frequency domain localization, accurate reconstruction condition, regularity order and orthonormality are discussed. The error concept for the Mexican hat wavelet that the non tensor product two dimensional form of mother wavelet is obtained from the turning of its one dimensional form is corrected. The reason is explained for that the Mexican hat mother wavelet can't be used in conventional discrete wavelet transform for image data compression,but when it is used in 2 D image wavelet transform realized by optic way, it features excellent energy localization. |
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| Keywords: | wavelet transform optic realization Mexican hat mother wavelet |
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