关键词: 局部线性嵌入, 奇异值分解, 重构, 分解, 地震信号, 去噪

Abstract: Existing noise reduction methods for seismic signals can not achieve a good result for the curve events of seismic profile. This paper proposes a noise suppression method for seismic signals based on Locally Linear Embedding（LLE） reconstruction and SVD decomposition. First, the method uses the reconstruction of locally linear embedding to reconstruct each sample of seismic data by its neighborhoods, which achieves the linearization of the curve events of nonlinear data. This removes the random noise in certain extent. Then, it separates the effective signals from the data containing the noise according to a good coherence of effective frequency signals for seismic data of LLE reconstruction, and gets rid of non-relevant noise. It ultimately achieves random noise suppression of seismic data. Finally, the experiments are conducted on forward model and real seismic data. The proposed method effectively removes random noise compared with traditional SVD method, and it does not lose the effective signals mainly.

Key words: Locally Linear Embedding（LLE）, Singular Value Decomposition（SVD）, reconstruction, decomposition, seismic signals, noise reduction