
Random seismic noise attenuation by learning- type overcomplete dictionary based on K- singular value decomposition algorithm
The transformation of basic functions is one of the most commonly used techniques for seismic denois- ing,which employs sparse representation of seismic data in the transform domain. The choice of transform base functions has an influence on denoising results. We propose a learning- type overcomplete dictionary based on the K- singular value decomposition (K- SVD) algorithm. To construct the dictionary and use it for random seis- mic noise attenuation,we replace fixed transform base functions with an overcomplete redundancy function library. Owing to the adaptability to data characteristics,the learning- type dictionary describes essential data characteristics much better than conventional denoising methods. The sparsest representation of signals is ob- tained by the learning and training of seismic data. By comparing the same seismic data obtained using the learning- type overcomplete dictionary based on K- SVD and the data obtained using other denoising methods, we find that the learning- type overcomplete dictionary based on the K- SVD algorithm represents the seismic data more sparsely,effectively suppressing the random noise and improving the signal- to- noise ratio.
sparse representation / seismic denoising / signal- to- noise ratio / K- singular value decomposition / learning- type overcomplete dictionary.
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