Three Dimensional Seismic Signal Denoising Based on Four-Dimensional Block Matching Cooperative Filtering Combined with Principle Component Analysis

Huan Zhang; Yue Chi; Yatong Zhou; Tingting Ren

doi:10.3788/LOP55.041007

Journals >Laser & Optoelectronics Progress >Volume 55 >Issue 4 >Page 041007 > Article

Laser & Optoelectronics Progress
Vol. 55, Issue 4, 041007 (2018)

Three Dimensional Seismic Signal Denoising Based on Four-Dimensional Block Matching Cooperative Filtering Combined with Principle Component Analysis

Huan Zhang¹, Yue Chi^1、*, Yatong Zhou¹, and Tingting Ren¹

Author Affiliations

¹ Hebei Mobile Communication Co., Ltd., Shijiazhuang, Hebei 0 50022, China

¹ School of Electronic and Information Engineering, Hebei University of Technology, Tianjin 300401, China

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DOI: 10.3788/LOP55.041007 Cite this Article Set citation alerts

Huan Zhang, Yue Chi, Yatong Zhou, Tingting Ren. Three Dimensional Seismic Signal Denoising Based on Four-Dimensional Block Matching Cooperative Filtering Combined with Principle Component Analysis[J]. Laser & Optoelectronics Progress, 2018, 55(4): 041007 Copy Citation Text

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Fig. 1. Noise reduction curve of BM4D algorithm for different noise standard deviations

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Comparison of noise reduction results of 3D seismic signal 1 acquired by BM4D in combination with different noise estimates. (a) Original signal; (b) 5% noise; (c) PCA+BM4D; (d) Kurtosis+BM4D; (e) Mode+BM4D; (f) Median+BM4D; (g) Min+BM4D; (h) Mad+BM4D; (i) dwt

Fig. 2. Comparison of noise reduction results of 3D seismic signal 1 acquired by BM4D in combination with different noise estimates. (a) Original signal; (b) 5% noise; (c) PCA+BM4D; (d) Kurtosis+BM4D; (e) Mode+BM4D; (f) Median+BM4D; (g) Min+BM4D; (h) Mad+BM4D; (i) dwt

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Fig. 3. Comparison of noise reduction results of 3D seismic signal 2 acquired by BM4D in combination with different noise estimates. (a) Original signal; (b) 5% noise; (c) PCA+BM4D; (d) Kurtosis+BM4D; (e) Mode+BM4D; (f) Median+BM4D; (g) Min+BM4D; (h) Mad+BM4D

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Fig. 4. Denoising performance curves of six algorithms (combined with BM4D) with noise standard deviation. (a) Absolute error of noise estimation; (b) noise estimation time; (c) SNR after denoising; (d) RMSE after denoising

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σ	Algorithm	Noise estimation			Denoising
σ	Algorithm	σ_est	σ_est-σ	$\begin{matrix} \|σ_{est} - σ\| \end{matrix}$	t	SNR /dB	RMSE
	PCA+BM4D	1.0038	0.0038	0.0038	0.4836	38.3274	0.0073
	Kurtosis+BM4D	0.9504	-0.0495	0.0495	18.5017	38.3550	0.0073
	Mode+BM4D	3.5383	2.5383	2.5383	1.9188	32.2805	0.0146
1	Median+BM4D	4.8267	3.8267	3.8267	2.2932	31.3170	0.0163
	Min+BM4D	0.7841	-0.2159	0.2159	0.8736	37.9256	0.0076
	Mad+BM4D	5.1696	4.1696	4.1696	2.7768	31.1280	0.0167
	dwt	-	-	-	-	33.8184	0.0123
	PCA+BM4D	4.9785	-0.0215	0.0215	0.6864	30.7298	0.0175
	Kurtosis+BM4D	6.0958	1.0958	1.0958	18.1585	30.1972	0.0186
	Mode+BM4D	11.1826	6.1826	6.1826	2.5740	28.8854	0.0216
5	Median+BM4D	12.6840	7.6840	7.6840	1.8720	28.6721	0.0222
	Min+BM4D	2.4576	-2.5424	2.5424	0.9984	24.0972	0.0375
	Mad+BM4D	13.9098	8.9098	8.9098	2.3556	28.5197	0.0226
	dwt	-	-	-	-	25.8890	0.0305
	PCA+BM4D	9.9201	-0.0789	0.0789	0.7956	28.3008	0.0231
	Kurtosis+BM4D	11.2075	1.2075	1.2075	17.7997	28.1078	0.0237
	Mode+BM4D	21.3790	11.3790	11.3790	1.9656	26.9655	0.0270
10	Median+BM4D	23.8698	13.8698	13.8698	2.2308	26.7896	0.0275
	Min+BM4D	4.7964	-5.2036	5.2036	0.9516	18.3838	0.0724
	Mad+BM4D	26.1886	16.1886	16.1886	2.3400	26.6363	0.0280
	dwt	-	-	-	-	23.2051	0.0497
	PCA+BM4D	14.8590	-0.1410	0.1410	0.4368	26.8445	0.0274
	Kurtosis+BM4D	16.0695	1.0695	1.0695	18.1273	26.7692	0.0276
	Mode+BM4D	31.4291	16.4291	16.4291	2.2464	25.6033	0.0316
15	Median+BM4D	35.2793	20.2793	20.2793	2.3244	25.4018	0.0323
	Min+BM4D	7.1561	-7.8439	7.8439	0.8892	15.0005	0.1070
	Mad+BM4D	38.7293	23.7293	23.7293	2.1582	25.2345	0.0329
	dwt	-	-	-	-	21.6546	0.0497

Table 1. Comparison of 3D seismic signal denoising performance of actual acquisition of BM4D with different noise estimates

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