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A Research on the Characteristics of Mexican-hat Mother Wavelet Used in Optic Realization
作者姓名:TIAN Feng  chun
摘    要: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.

关 键 词:wavelet  transform  optic  realization  Mexican  hat  mother  wavelet

A Research on the Characteristics of Mexican-hat Mother Wavelet Used in Optic Realization
TIAN Feng,chun.A Research on the Characteristics of Mexican-hat Mother Wavelet Used in Optic Realization[J].Storage & Process,2002(12):62.
Authors:TIAN Feng  chun
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.
Keywords:wavelet transform  optic realization  Mexican  hat  mother wavelet
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