Seismic signal's decomposition based on matching pursuits method

Matching Pursuits algorithm is a specific implementing method for signal decomposition.It's a problem to decompose or reconstruct seismic signal upon over-completed dictionary since the index of the dictionary and the amount of the computation are very huge.So a fast algorithm is proposed in which the dictionary index is shortened in frequency scope and in scale scope according to the frequency characteristic and the waveform characteristic of the seismic signal.Thus,by means of using known knowledge about the seismic signal,shrinkage of scan scope of atom dictionary index is achieved to accomplish the seismic signal's fast decomposition based on Matching Pursuits algorithm.