用模糊变换衰减finite-difference波传播中的随机噪声
Random noise attenuation on finite-difference wave propagation using fuzzy transform
摘要：
模糊变换（F-变换）已被引入作为一种近似方法，其中包括经典的转换和模糊建模和模糊控制研究的近似方法。证明了在一定条件下，F变换可以去除周期性噪声，并能显著降低随机噪声。在这项工作中，我们应用F-变换的方法，提出了一种有限差分方法来解决声波方程的噪声初始条件。
英文摘要：
Fuzzy Transform (F-transform) has been introduced as an approximation method which encompasses both classical transforms and approximation methods studied in fuzzy modeling and fuzzy control. It has been proved that, under some conditions, F-transform can remove a periodical noise and it can significantly reduce random noise. In this work we apply the F-transform methodology to propose a finite-difference approach to solving the acoustic wave equation with noisy initial conditions.
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