Seismic data denoising based on data-driven tight frame dictionary learning method

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Because of various complicated factors in seismic data collection, the random noise of seismic data is too difficult to avoid. This random noise reduces the quality of seismic data and increases the difficulty of seis-mic data processing and interpretation. Improving the denoising technology is significant. In order to improve seismic data denoising result, a novel method named data-driven tight frame ( DDTF) is introduced in this pa-per. First, we get the sparse coefficients of seismic data with noise by DDTF. Then we remove the smaller sparse coefficient by using the hard threshold function. Finally, we get the denoised seismic data by inverse transform. Furthermore, the DDTF is compared with curvelet transform in the stimulation and practical seismic data experiments to validate its performance. DDTF can raise the signal-to-noise ratio of seismic data denoising and protect the effective signal well.
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