|
|
|
| Double sparsity dictionary for seismic noise attenuation | |
|
Next: Synthetic examples
Up: Chen & Ma &
Previous: Seislet transform based DSD
In this section, we use two synthetic examples and two field data examples to test the denoising performance of
the proposed DSD based thresholding. In order to numerically test the performance, and to quantify the
comparison for all the examples, we simulate noisy data by adding Gaussian white noise.
We apply the following simple model for synthesizing noisy data with Gaussian white noise:
|
(10) |
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):
|
(11) |
where
is the denoised signal.
Subsections
|
|
|
| Double sparsity dictionary for seismic noise attenuation | |
|
Next: Synthetic examples
Up: Chen & Ma &
Previous: Seislet transform based DSD
2016-02-27