傅氏域中非整数阶微积分算法及其在地震信号处理中的应用

目前，非整数阶微积分的计算已日益显示出其重要性。该文以傅氏域中整数阶微积分计算方法为基础，将该方法推广到傅氏域中非整数阶微积分的计算。经过模型计算、精度分析及地震信号处理中的若干运用，表明了该方法的有效性及可靠性。而且通过该方法在精确的变换等实际应用中的结果进一步表明，在傅氏域中非整数阶微积分这一计算方法具有简便易行、速度快、应用范围广等优点。

THE ALGORITHM OF NON INTEGER ORDER DIFFERENTIAL AND INTEGRAL IN THE FOURIER DOMAIN AND ITS APPLICATIONS TO SEISMIC SIGNAL PROCESSING

At present, the calculation of non integer order differential and integral is becoming more and more important. By Fourier transform, the authors propose a new method to calculate non integer order differential and integral on the basis of the integer order differential and integral in frequency space domain in this paper. From the results of model processing, precision analysis and seismic signal processing, it can be concluded that this algorithm is effective and dependable on seismic signal processing. The applications of this algorithm to the accurate transform and other areas show that it is an easily performed, quickly calculating, and widely used method.