Double sparsity dictionary for seismic noise attenuation |

We apply the following simple model for synthesizing noisy data with Gaussian white noise:

where denotes the simulated noisy seismic data, denotes the clean data, and denotes a Gaussian white noise with zero mean and standard deviation . The clean data is recovered by applying a simple thresholding operator in the DSD domain.

In order to numerically test the denoising performance, we define the criterion for comparison as signal-to-noise ratio (SNR):

where is the denoised signal.

Double sparsity dictionary for seismic noise attenuation |

2016-02-27