连分式法全局预测单电台跳频码频率

Global Prediction of the Frequency Hopping for a Radio Set Based on Continued Fractions

  • 摘要: 在跳频电台跳频系统动力学方程未知的情形下,通过拓展多项式逼近到有理分式逼近理论,并借鉴混沌系统相空间重构思想,利用连分式法建立了跳频码频率非线性全局预测模型,用此模型重构跳频系统的动力学方程,实现对其频率特性分析,达到了预测目的。理论分析和仿真实验表明:连分式法能够有效预测一些跳频电台的频率,该方法预测精度高,并且能得到显式的预测表达式。

     

    Abstract: After developing the polynomial approximation method to the rational-fraction approximation's in theory, a non-linear predictable global model for the system of a radio set is built based on the continued-fraction approximation and the phase-space reconfiguration while the dynamic model can't be known for the system of a radio set. We can analyze the characteristic and gain the prediction of frequency hopping by substituting the model for the equation of frequency hopping code. The results of theoretic analysis and computer simulation have proved this method is practically feasible. We can predict it accurately comparatively and get an explicit expression.

     

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