Seismic signal fractional local power spectrum estimation
Zheng Jia1, Peng Zhenming1, Wang Yuqing1, Tian Lin1, He Yanmin1, Li Yiqing2
1. School of Optoelectronic Information, University of Electronic Science and Technology of China, Chengdu, Sichuan 610054, China;
2. China Petroleum Exploration Supervision Co., LTD, Zhuozhou, Hebei 072750, China
Abstract：We propose in this paper a new method of fractional local power spectrum estimation by combining power spectrum estimation and fractional Fourier transform (FrFT). First, the maximum kurtosis in the fractional domain is found out to determine the optimal order for fractional power spectrum. Then the fractional 2-D distribution of fractional power spectrum in the optimal order is calculated. The time-frequency 2-D distribution of fractional power spectrum can be obtained with the rotation of fractional Fourier transform. Similarly, auto-regressive (AR) spectrum estimation can be used to calculate the time-frequency 2-D distribution of fractional power spectrum. The time-frequency properties obtained by these two methods are superior to that of the classic spectrogram. Tests on theoretical model and seismic signals show that the proposed method is efficient.
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