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S. Mallat and Z. Zhang, “Matching Pursuits with Time Frequency Dictionaries,” IEEE Transaction on Signal Processing, Vol. 41, No. 12, 1993, pp. 3397-3415. doi:10.1109/78.258082

has been cited by the following article:

• TITLE: Application of Atomic Sparse Decomposition to Feature Extraction of the Fault Signal in Small Current Grounding System

  AUTHORS: Nanhua Yu, Rui Li, Jun Yang, Bei Dong

  KEYWORDS: Small Current Grounding System; Fault Line Selection; Atomic Sparse Decomposition; Matching Pursuit; Damped Sinusoids

  JOURNAL NAME: Energy and Power Engineering, Vol.5 No.4B, October 30, 2013

  ABSTRACT: Applying the atomic sparse decomposition in the distribution network with harmonics and small current grounding to decompose the transient zero sequence current that appears after the single phase to ground fault occurred. Based on dictionary of Gabor atoms and matching pursuit algorithm, the method extracts the atomic components iteratively from the feature signals and translated them to damped sinusoidal components. Then we can obtain the parametrical and analytical representation of atomic components. The termination condition of decomposing iteration is determined by the threshold of the initial residual energy with the purpose of extract the features more effectively. Accordingly, the proposed method can extract the starting and ending moment of disturbances precisely as well as their magnitudes, frequencies and other features. The numerical examples demonstrate its effectiveness.