| RESEARCH OF PROBLEMS ON REALIZING DIRECT ALGORITHM OF WAVELET TRANSFORM |
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| 作者姓名： | Tang Baoping Zhong Youming Qin Shuren |
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| 作者单位： | Tang Baoping
Zhong Youming
Qin Shuren
Department of Mechanical Engineering，Chongqing University，Chongqing 400044，China |
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| 基金项目： | This project is supported by National Natural Science Foundation of China (No.50135050) |
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| 摘 要： | Direct algorithm of wavelet transform (WT) is the numerical algorithm obtained from the integral formula of WT by directly digitization. Some problems on realizing the algorithm are studied. Some conclusions on the direct algorithm of discrete wavelet transform (DWT), such as discrete convolution operation formula of wavelet coefficients and wavelet components, sampling principle and technology to wavelets, deciding method for scale range of wavelets, measures to solve edge effect problem, etc, are obtained. The realization of direct algorithm of continuous wavelet transform (CWT) is also studied. The computing cost of direct algorithm and Mallat algorithm of DWT are still studied, and the computing formulae are obtained. These works are beneficial to deeply understand WT and Mallat algorithm. Examples in the end show that direct algorithm can also be applied widely.
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| 关 键 词： | 小波变换 算法 DWT CWT 直接法 |
RESEARCH OF PROBLEMS ON REALIZING DIRECT ALGORITHM OF WAVELET TRANSFORM |
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| Tang Baoping,Zhong Youming,Qin Shuren.RESEARCH OF PROBLEMS ON REALIZING DIRECT ALGORITHM OF WAVELET TRANSFORM[J].Chinese Journal of Mechanical Engineering,2003,16(2):136-140. |
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| Authors: | TangBaoping ZhongYouming QinShuren |
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| Affiliation: | DepartmentofMechanicalEngineering,ChongqingUniverse,Chongqing,400044,China |
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| Abstract: | Direct algorithm of wavelet transform (WT) is the numerical algorithm obtained from the integral formula of WT by directly digitization. Some problems on realizing the algorithm are studied. Some conclusions on the direct algorithm of discrete wavelet transform (DWT), such as discrete convolution operation formula of wavelet coefficients and wavelet components, sampling principle and technology to wavelets, deciding method for scale range of wavelets, measures to solve edge effect problem, etc, are obtained. The realization of direct algorithm of continuous wavelet transform (CWT) is also studied. The computing cost of direct algorithm and Mallat algorithm of DWT are still studied, and the computing formulae are obtained. These works are beneficial to deeply understand WT and Mallat algorithm. Examples in the end show that direct algorithm can also be applied widely. |
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| Keywords: | Wavelet transform Direct algorithm Mallat algorithm |
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