随机海浪的滤波器模型及仿真

Filter models and simulation of random waves

为了研究通过引入滤波器模型实现对随机海浪的模拟,随机海浪可用有色噪声表示。在随机运动问题中,需要引入滤波器模型对白噪声输入进行处理,从而得到符合真实海浪情况的有色噪声。本文利用ARMA过程构造滤波器模型,并探讨不同阶数的ARMA滤波器模型对ITTC双参数谱的拟合程度。通过滤波器生成谱产生波浪时历,将模拟数据的统计值与ITTC双参数谱的理论值进行对比,验证滤波器的有效性。实验结果表明:滤波器模型为随机海浪的模拟与有色干扰的变化带来了极大方便。

Random waves can be simulated by a filter model and represented by colored noise.To solve random motion problems,it is necessary to introduce a filter model to deal with white noise input and to obtain colored noise in accordance with random waves.We constructed a filter using the ARMA process and investigated the fitting degree of the model to an ITTC two-parameter spectrum.Wave elevation was generated through the power spectral density based on the filter model.The effectiveness of the filter was verified by comparing the statistics of the simulation data with the theoretical values of the ITTC two-parameter spectrum.This filter model is an accessible strategy for wave simulation and colored interference transformation.