Three parameter time-frequency characteristics filter based on fast matching pursuit
Song Wei1,3, Zou Shao-feng1, Ouyang Yonglin2, Zeng Qingcai2, Huang Jiaqiang2, Chang Xin2
1. CNPC Key Laboratory of Geophysical Prospecting,China University of Petroleum (Beijing),Beijing 102249,China;
2. Langfang Branch,Research Institute of Petroleum Exploration & Development,PetroChina,Langfang, Hebei 065007,China
Abstract：Matching pursuit (MP) algorithm can adaptively decomposes a seismic trace into a series of constituent wavelets. Conventional matching pursuit decompositions usually need a sufficiently large atom dictionary and greedy algorithms to decompose wavelet with timeconsumed calculations. Therefor,we introduce a thresholdconstrained crosscorrelation approach. This approach implement a feedback loop between the iterations and the dictionary,and atoms with correlation ratios below the threshold are rejected. It can selfadaptive reduce the size of dictionary. Fast matching pursuit seismic trace decomposition is achieved through multiple atom extractions. After decomposition,each wavelet sorted in energy was expressed by three parameters,amplitude,frequency and centre time,which represents major amplitude and dominant frequency of original signals at a centre time. According to the difference of the major amplitude,dominant frequency and centre time between signal and noise,we construct a three parameter filter,and extract the signal wavelets to reconstruct the seismic trace to filter noise without signal damage. Tests on synthetic and real data show the effectiveness of the proposed method.
