用希尔伯特变换分析次声信号的动态谱
DYNAMIC SPECTRAL ANALYSIS OF INFRASONIC SIGNAL WITH HILBERT TRANSFORM
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摘要: 以往习惯上用快速傅里叶变换对次声信号进行动态谱分析,但该方法不一定都合适。在本文中提出另一种分析次声信号动态谱的方法,是经数字滤波和希尔伯特变换以后,计算每一通道内信号的包络,而滤波器是按1/12倍频程划分的。在本文中讨论了用希尔伯特变换求信号的包络,及1/12倍频程滤波器,然而用二种方法分析一个合成的核爆炸次声信号,对它们计算的结果进行比较。用希尔伯特变换求出的动态谱,不仅有较高的分辨率,可以获得各简正波的主要频率范围,还可以初步获得几个低阶简正波的波形。本方法表明在某些情形中更能反映次声信号的特性。Abstract: In the past we used to analyse the dynamic spectrum of infrasonic waves with FFT1, but which is not always suitable. In this paper another method is proposed to analyse infrasonic waves. This method is that, after digital filtering of the signal and Hilbert transform, the envelope of the signal in all the channels is evaluated, the bandwidth of the filters is 1/12-octave. In this paper the computation of envelope with Hilbert transform and 1/12-octave filtering are discussed. Then a synthetic infrasonic signal generated by a large nuclear explosion is analysed with two methods, and their results are compared. It is shown that, in the dynamic spectrum with Hilbert transform, not only higher resolution can be obtained, the main frequency regions of different modes can be separated, but also waveform can be preliminarily obtained for a few of lower modes. Thus it seems to that in some cases this method is more efficient in discovering the property of an infrasonic signal.