It is very important to select the wavelet and its resolution in multi-wavelet decomposition and reconstruction
method.In order to well select wavelet，firstly，we calculate the time-frequency spectrums of complex Paul
wavelet and complex Morlet wavelet，and discuss the influence of wavelet width controlling parameters on
resolution in frequency domain.Then，matching pursuit algorithm is applied to carry out multi-wavelet
decomposition and reconstruction on actual seismic data，and theoretically identify best wavelet width controlling
the frequency-domain resolution of complex Paul wavelet and complex Morlet wavelet；meanwhile，the
difference of the seismic sections reconstructed from the two wavelets is analyzed.Theoretical model and actual
data computation results indicate that the two wavelets have different resolution and different shape of frequency
spectrum.In actual application，we should select the wavelet in terms of the target:the reconstruction profile
based on complex Paul wavelet preserves more low-frequency energy，which is suitable to study the sub-
structures with continuous reflection events；the reconstruction profile based on complex Morlet wavelet has large
contrast between low-frequency and high-frequency spectrum，which is more suitable to study the seismic wave
absorption and attenuation effect.
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