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《Chinese Journal of Geophysics》 1997-06
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WAVELET TRANSFORM AND INSTANTANEOUS ATTRIBUTES ANALYSIS

Gao Jing-huai; Wang Wen-bin; Zhu Guang-ming (Institute of Geophysics, Acadamia Sinica, Beijing 100101, China) (School of Electronics & Information Engineering, Xi'an Jiaotong Univ., Xi'an. 710049, China) (Xo'an College of Engineering, Xi'an 710054, Chin  
IP (instantaneous parameters such as instantaneous frequency) of a signal computed with HT (Hibert transform) method usually do not well characterize the signal when itS S / N is poor. So a theorem is proposed for the calculation of the analytic signal of a real-veined signal in L2(R). Based on the theorem, a wavelet-based method (called WT method). of computing the IP is given. The numerical simulation results and theoretical analysis show that the WT method has higher precision and antinoise capacity than the HT method does. On the basis of the convolutional model in the analysis of reflection seismogram, the meaning of wavelet transform of seismogram and corresponding IP at different scales is investigared. TIs is very important to practical seismic din processing and interpretation using wavelet transform.
【Fund】: 国家自然科学基金
【CateGory Index】: P631.4
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