多径传播中的奇异吸引子：检测与表征
Strange Attractors in Multipath propagation: Detection and characterisation
摘要：
室内/室外环境中的无线电波的多径传播显示出作为时间的函数的高度不规则的行为。这种现象的典型建模假设接收信号是由发射信号的各种改变的副本的叠加组成的随机过程，其幅度和相位从特定的概率密度中提取。我们着手探讨在卡尔加里大学的各种建筑物内传播的信号中存在确定性混沌的假设。对于各种天线极化，相关维数对嵌入维数饱和到3和4之间的值。计算的完整Liapunov谱包含两个正指数，并通过Kaplan-Yorke猜想产生从相关和获得的相同维数。多径传播中奇异吸引子的存在暗示了预测信号行为的更好方法和对抗干扰影响的更好方法。神经网络在非线性预测中的应用将在一个例子中说明，并突出显示其潜在的应用。
英文摘要：
Multipath propagation of radio waves in indoor/outdoor environments shows a highly irregular behavior as a function of time. Typical modeling of this phenomenon assumes the received signal is a stochastic process composed of the superposition of various altered replicas of the transmitted one, their amplitudes and phases being drawn from specific probability densities. We set out to explore the hypothesis of the presence of deterministic chaos in signals propagating inside various buildings at the University of Calgary. The correlation dimension versus embedding dimension saturates to a value between 3 and 4 for various antenna polarizations. The full Liapunov spectrum calculated contains two positive exponents and yields through the Kaplan-Yorke conjecture the same dimension obtained from the correlation sum. The presence of strange attractors in multipath propagation hints to better ways to predict the behaviour of the signal and better methods to counter the effects of interference. The use of Neural Networks in non linear prediction will be illustrated in an example and potential applications of same will be highlighted.
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