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WAVELET ESTIMATION BASED ON BISPECTRUM

Guisheng Xie, Shi Yu-mei

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Abstract

Wavelet Processing is an important technique used to improve the resolution of seismic data, in which the key is wavelet estimation. According to the fact that higher order cumulate retains phase information, a method of wavelet estimation based on bispectrum of seismic signals is provided in this paper. The method does not need the traditional assumption that the wavelet must be minimum-phase, and is valid for wavelet of any phase. Applicability of the method is proved by theoretical calculations on seismic wavelet with different phase properties, showing the potential of higher-order signal spectra in wavelet processing and resolution improvement.

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What this paper is about

Wavelet Processing is an important technique used to improve the resolution of seismic data, in which the key is wavelet estimation. According to the fact that higher order cumulate retains phase information, a method of wavelet estimation based on bispectrum of seismic signals is provided in this paper. The method does not need the traditional assumption that the wavelet must be minimum-phase, and is valid for wavelet of any phase. Applicability of the method is proved by theoretical calculations on seismic wavelet with different phase properties, showing the potential of higher-order signal spectra in wavelet processing and resolution improvement.

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Available abstract

Wavelet Processing is an important technique used to improve the resolution of seismic data, in which the key is wavelet estimation. According to the fact that higher order cumulate retains phase information, a method of wavelet estimation based on bispectrum of seismic signals is provided in this paper. The method does not need the traditional assumption that the wavelet must be minimum-phase, and is valid for wavelet of any phase. Applicability of the method is proved by theoretical calculations on seismic wavelet with different phase properties, showing the potential of higher-order signal spectra in wavelet processing and resolution improvement.

Key concepts: Wavelet, Bispectrum, Wavelet transform, Pattern recognition (psychology), Wavelet packet decomposition, Discrete wavelet transform, Computer science, Second-generation wavelet transform

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