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Hilbert变换在尾波分析中的应用。Hilbert变换是一种正交变换。它可以把一个实信号表示成一个复信号,并可由此研究实信号的包络瞬时相位和瞬时频率。Hilbert变换最早用于通信理论中,最近已用于地球物理勘探的数字处理。Hilbert变换在地震学中也开始有所应用。Williams1979年首先把Hilbert变换用于面波分析,并由此得出一种测定地震矩的方法。怎样用Hilbert变换来确定尾波包络和优势频率: 设地震尾波记录为实的连续信号U(t)
Application of Hilbert Transform in Coda Wave Analysis. Hilbert transform is an orthogonal transform. It can represent a real signal as a complex signal, and can thus study the envelope of the real signal instantaneous phase and instantaneous frequency. The Hilbert transform was first used in communication theory and has recently been used for digital processing of geophysical prospecting. Hilbert transform also has some applications in seismology. Williams first published Hilbert transformation in 1979 for surface wave analysis and derived a method of measuring seismic moment. How to use Hilbert transform to determine the coda envelope and dominant frequency: Set the earthquake coda as a real continuous signal U (t)