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以某火箭弹为例，在随机风场作用下，利用纵风作用下的随机弹道系统成形滤波器，把成形滤波器的微分方程和外弹道角运动方程联立，对此系统采用协方差分析描述函数法，对火箭弹的散布进行了计算．计算结果表明，随机风场作用下成形滤波器的原理，即平稳有色噪声等效处理为高斯白噪声作用下的状态的理论得到了实例验证，也说明了有色噪声白化过程的可行性。同时由于成形滤波器的采用，系统的输入为高斯白噪声，当用协方差分析描述函数法时，不但大大简化了火箭弹散布计算过程，而且得到的解也是精确解．另外运用尾翼延时张开技术来减小散布的措施，得出了不同平均风速下的火箭弹角散布与尾翼延张时间的关系的仿真曲线，以及此类型号的火箭弹在仅考虑随机风场作用时的最佳尾翼延张时间．
Taking a rocket as an example, under the action of stochastic wind field, the stochastic ballistic system shaping filter under longitudinal wind is used to establish the differential equation of forming filter and the equation of external ballistic angle motion. The system uses covariance analysis Describe the function method to calculate the distribution of rockets. The calculation results show that the theory of forming filter under the action of stochastic wind field, that is, the theory that the equivalent colored light noise is processed under Gaussian white noise is validated by examples, and the feasibility of white noise whitening process is illustrated. At the same time, due to the adoption of forming filter, the input of the system is Gaussian white noise. When the function method is described by covariance analysis, not only greatly simplifies the calculation process of rocket scatter, but also obtains the exact solution. In addition, the use of tail time-delay opening technology to reduce the spread of the measures obtained at different mean wind speed rocket angle distribution and the tail of the delay time of the simulation curve, and this type of rockets only consider the random wind The best tail wing extension time field effect.