A New Signal De-noising Method Based on Energy Difference Spectrum of Singular Value

摘要

The order of effective rank is difficult to determine for noise reduction based on singular value decomposition. In order to improve the signal to noise ratio of practical sample data, a novel de-noising method was proposed by energy difference spectrum of singular value to solve this problem. According to the energy difference between useful signal and noise, the energy difference spectrum of singular value was constructed and then the reconstruction order number was determined according to the peak position of the energy difference spectrum. The effectiveness of the method was proved by simulation and practical results. And the results of comparing the performances of the proposed method to the morphological filter and the Ensemble Empirical Mode Decomposition (EEMD) show the proposed method can retain the original signal characteristic effectively and eliminate noise as much as possible. It?s very important for signal feature extraction and analysis next step.