地震信号时频谱的逆匹配追踪方法

Inverse matching pursuit for the time-frequency spectra of seismic signals

匹配追踪Wigner-Ville分布时频表征方法提供的时频信息有限.本文通过匹配追踪原子的时频分布构造了一种新的匹配追踪时频表征方法,可以得到地震信号的高精度匹配追踪时频分布,而且不产生交叉项.在此基础上,利用匹配追踪原子时频分布的良好可逆性,提出了利用匹配追踪时频分布恢复地震信号的逆匹配追踪算法,实现了地震信号的精确重构,拓宽了匹配追踪方法在地震资料处理和解释中的应用范围.

The traditional matching pursuit Wigner-Ville distribution provides limited time-frequency information. This paper proposed a new matching pursuit time-frequency characterization method based on the time-frequency spectrum of matching pursuit atoms. It can quickly obtain high precision time-frequency spectra of seismic signals, without cross-terms generated during the computation procedure. Furthermore, by making use of the reversibility of time-frequency spectrum, an inverse matching pursuit algorithm is proposed. It can reconstruct seismic signals from the matching pursuit time-frequency spectra. The methods proposed in this paper will extend matching pursuit＇s application sphere in seismic data process and interpretation field.