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在地震数字处理中,信号是经过采样后进行处理的,对不同地震道采样时间也不同。因此,解编以及动、静校正的精度都受采样间隔的限制,速度计算也因采样间隔而带来误差。为了提高精度,在处理过程中往往需要插样。在这里,线性内插是不适宜的,它可能引起信号的较大失真。为此,需要寻求一种不使信号失真的高精度内插方案。我们知道,在对野外数据采样之前先进行了假频滤波,所以采样之前的信号是一个频带有限的连续时间函数,我们以x(t)和X(f)分别表示连续信号和它的频谱(如图1)。
In seismic digital processing, the signal is processed after sampling, sampling time for different seismic traces are also different. Therefore, the accuracy of disassembly and dynamic and static correction is limited by the sampling interval, and the calculation of the speed also brings errors due to the sampling interval. In order to improve the accuracy, it is often necessary to sample during processing. Here, linear interpolation is not suitable, it may cause greater distortion of the signal. To do this, it is necessary to find a high-precision interpolation scheme that does not distort the signal. We know that aliasing is done before the field data is sampled, so the signal before sampling is a continuous function with a finite frequency band. We represent the continuous signal and its spectrum (x (t) and x Figure 1).