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《Journal of South China University of Technology(Natural Science)》 2001-01
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The Wavelet Series Based on Gaussian Function and Its Fast Algorithm

Zhao Xue_zhi 1 Chen Wen_ge 2 Lin Ying 1 Chen Tong_jian 1 Ye Bang_yan 1 (1.Dept.of Mechatronic Engineering , South China Univ.of Tech., Guangzhou 510640,China; 2.Dept.of Mechatronic Engineering , Guang Dong Univ.of Tech., Guangzhou 510090,China)  
The wavelet series made up of different derivatives of Gaussian function and their specialities are discussed systematically in this paper. The computed results show that the n _th derivative of Gaussian function has vanishing moment of n _th order. Gaussian function being scaling function, the special relationship between high pass filter and low pass filter is discussed. The filter coefficient for fast algorithm is also given.
【Fund】: 广东省自然科学基金项目!(980 396 )
【CateGory Index】: TN911.72;TP274.
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