# Seismic Data Denoising Based on Wavelet Transform and the Residual Neural Network
## 4 Real Seismic Data Processing Results
Therefore, for high noise level data, further improvement of the denoising performance of this method is necessary. \begin{table}
\begin{tabular}{c c c c c c c} \hline \hline
**Input SNR(dB)** & \multicolumn{6}{c}{**18.148**} \\ \hline Wavelet decomposition level & \multirow{2}{*}{haar} & \multirow{2}{*}{db1} & \multirow{2}{*}{sym7} & \multirow{2}{*}{coif2} & \multirow{2}{*}{bior1.1} & \multirow{2}{*}{rbiol.1} \\ Wavelet name & & & & & & \\ \hline Level 1 output SNR(dB) & 13.364 & 17.096 & 13.581 & 12.616 & 11.950 & 13.781 \\ Level 2 output SNR(dB) & 17.519 & 17.114 & 15.831 & 16.470 & 17.800 & 17.471 \\ Level 3 output SNR(dB) & 17.461 & 17.365 & 15.099 & 15.414 & 17.496 & 17.543 \\ Level 4 output SNR(dB) & 16.941 & 16.988 & 16.492 & 16.117 & 17.105 & 17.103 \\ Level 5 output SNR(dB) & 17.096 & 16.952 & 15.616 & 15.806 & 17.342 & 16.849 \\ \hline Input SNR(dB) & \multicolumn{6}{c}{3.992} \\ \hline Wavelet decomposition level & \multirow{2}{*}{haar} & \multirow{2}{*}{db1} & \multirow{2}{*}{sym5} & \multirow{2}{*}{coif1} & \multirow{2}{*}{bior1.1} & \multirow{2}{*}{rbiol.1} \\ Wavelet name & & & & & \\ \hline Level 1 output SNR(dB) & 9.373 & 9.241 & 9.75 & 10.479 & 9.699 & 9.51 \\ Level 2 output SNR(dB) & 12.857 & 12.957 & 12.406 & 12.092 & 12.662 & 12.867 \\ Level 3 output SNR(dB) & 12.854 & 12.927 & 12.037 & 11.26 & 12.876 & 12.858 \\ Level 4 output SNR(dB) & 12.717 & 12.746 & 12.118 & 11.312 & 12.792 & 12.72 \\ Level 5 output SNR(dB) & 12.769 & 12.751 & 12.094 & 11.550 & 12.768 & 12.845 \\ \hline Input SNR(dB) & \multicolumn{6}{c}{\(-\)2.273} \\ \hline Wavelet decomposition level & \multirow{2}{*}{haar} & \multirow{2}{*}{db1} & \multirow{2}{*}{sym5} & \multirow{2}{*}{coif1} & \multirow{2}{*}{bio1.1} & \multirow{2}{*}{rbiol3.1} \\ Wavelet name & & & & & \\ \hline Level 1 output SNR(dB) & 9.575 & 9.573 & 9.308 & 8.027 & 9.630 & 8.038 \\ Level 2 output SNR(dB) & 8.592 & 8.977 & 9.812 & 9.462 & 8.942 & 10.076 \\ Level 3 output SNR(dB) & 9.504 & 9.373 & 8.772 & 8.648 & 9.424 & 9.401 \\ Level 4 output SNR(dB) & 9.373 & 9.307 & 8.675 & 8.801 & 9.091 & 9.490 \\ Level 5 output SNR(dB) & 9.204 & 9.207 & 8.776 & 8.078 & 9.251 & 9.370 \\ \hline Input SNR(dB) & \multicolumn{6}{c}{\(-\)5.203} \\ \hline Wavelet decomposition level & \multirow{2}{*}{haar} & \multirow{2}{*}{db1} & \multirow{2}{*}{sym7} & \multirow{2}{*}{coif2} & \multirow{2}{*}{bior1.1} & \multirow{2}{*}{rbiol3.1} \\ Wavelet name & & & & & \\ \hline Level 1 output SNR(dB) & 8.581 & 8.520 & 6.750 & 8.717 & 8.440 & 7.448 \\ Level 2 output SNR(dB) & 8.094 & 8.140 & 8.160 & 8.483 & 8.073 & 8.722 \\ Level 3 output SNR(dB) & 8.056 & 8.015 & 7.807 & 7.703 & 8.048 & 8.402 \\ Level 4 output SNR(dB) & 7.974 & 7.900 & 7.764 & 7.620 & 7.872 & 8.361 \\ Level 5 output SNR(dB) & 7.874 & 7.912 & 7.691 & 8.035 & 7.943 & 8.367 \\ \hline Input SNR(dB) & \multicolumn{6}{c}{\(-\)7.116} \\ Wavelet decomposition level & \multirow{2}{*}{haar} & \multirow{2}{*}{db1} & \multirow{2}{*}{sym5} & \multirow{2}{*}{coif2} & \multirow{2}{*}{bior1.1} & \multirow{2}{*}{rbio3.1} \\ Wavelet name & & & & & \\ \hline Level 1 output SNR(dB) & 5.469 & 5.603 & 5.270 & 6.081 & 5.670 & 7.573 \\ Level 2 output SNR(dB) & 6.444 & 6.417 & 6.516 & 6.547 & 6.304 & 6.791 \\ Level 3 output SNR(dB) & 5.920 & 6.015 & 5.004 & 5.410 & 6.032 & 6.05 \\ Level 4 output SNR(dB) & 5.793 & 5.836 & 4.884 & 5.067 & 5.75 & 5.926 \\ Level 5 output SNR(dB) & 5.726 & 5.780 & 4.419 & 4.503 & 5.821 & 5.877 \\ \hline \hline \end{tabular}
\end{table} 
Table 3: DWT-Resnet18 denoising results for real seismic data with different noise levels, using different wavelet basis functions, and at different wavelet decomposition levels. Figure 11: Cont. Figure 10: Comparison of denoising results using Resnet18, Resnet26, DWT\(-\)Resnet18, DWT\(-\)Resnet26, with different input SNRs. Figure 9: Trends of the best denoising results of DWT\(-\)Resnet26 with different SNR real seismic data under different wavelet bases.