地震信号复数域高效匹配追踪分解

Complex domain efficient matching pursuit decomposition of seismic signals

本文提出了一种复数域快速匹配追踪算法,通过在复数域求解匹配子波的复振幅,同时获得匹配子波的振幅和相位信息,并使主频成为唯一一个需要通过子波库扫描来确定的控制参数,提高了匹配追踪的分解效率。算法对比测试结果表明,本文快速匹配追踪算法的计算效率比原算法提高了上千倍,在很大程度上克服了匹配追踪的计算瓶颈问题,同时能够保持匹配追踪瞬时谱精度和地震信号重构精度。

This paper proposes a complex domain fast matching pursuit algorithm.By solving the complex amplitude of matching wavelets,its amplitude and phase information can simultaneously be obtained.Since only the dominant frequency is needed to scan in the wavelet dictionary as a parameter.So the computational efficiency of matching pursuit is greatly improved.Comparison test indicates that the matching pursuit algorithm proposed in this paper is thousand times faster than the original algorithm.The main computational bottleneck problem is overcome to a great extent.At the same time,the accuracy of matching pursuit instantaneous spectrum and signal reconstruction is maintained.