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The Hilbert Transforms of Complex Shannon Wavelet and Marr Wavelet

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DOI: 10.23977/aetp.2021.51208 | Downloads: 14 | Views: 803


YANG Xiuzhu 1


1 College of Science, China Three Gorges University, Yichang 443002, China

Corresponding Author

YANG Xiuzhu


The Hilbert transform of complex Shannon wavelet is firstly calculated by using the Residue Theorem. The Hilbert transform of Marr wavelet is then computed by applying the Hilbert transform of Gaussian functions. Since these two kinds of wavelets are relatively important in practice, the calculation of the Hilbert transforms of these two kinds of wavelets could be useful for designing of the wavelets which form a pair of Hilbert transform.


Shannon wavelet, Marr wavelet, Hilbert transform


YANG Xiuzhu, The Hilbert Transforms of Complex Shannon Wavelet and Marr Wavelet. Advances in Educational Technology and Psychology (2021) 5: 32-35. DOI:


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