利用希尔伯特变换,可以研究信号的包络、瞬时相位和瞬时频率。这些研究,在地震勘探数字处理中有重要意义。瞬时相位可以帮助对比,瞬时频率和振幅研究相结合可以帮助解释油气层。因此,讨论希尔伯特变换与信号的包络、瞬时相位和瞬时频率是必要的。本文着重原理分析,最后给出计算方法。实连续信号的复信号(解析信号)和希尔伯特变换在工程和地震勘探中所得到的原始信号x(t),一般应为连续信号,意即自变量时间t是连续变化的,又由于x(t)取实值,因此我们就称这样的信号为实连续信号。这 Using the Hilbert transform, one can study the signal envelope, instantaneous phase and instantaneous frequency. These studies are of great significance in the digital processing of seismic exploration. The instantaneous phase can help contrast, and the combination of instantaneous frequency and amplitude studies can help explain the reservoir. Therefore, it is necessary to discuss the envelope, instantaneous phase and instantaneous frequency of Hilbert transform and signal. This article focuses on the principle analysis, and finally gives the calculation method. The complex signal (analytic signal) of the continuous signal and the original signal x (t) obtained by the Hilbert transform in engineering and seismic exploration should generally be continuous signals, meaning that the independent variable t is continuously changing in time, and due to x (t) takes the real value, so we call this signal a real continuous signal. This