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For the modelling and simulation of mobile radio channels, one often uses a sum of complex sinusoids (cisoids). This paper analyses in detail the Level-Crossing Rate (LCR), the Average Duration of the Fades (ADF), and the Cumulative Distribution Function (CDF) of the envelope of a Sum-Of-Cisoids (SOC). For these statistical quantities, exact and simple approximate solutions are derived by taking into account that the inphase and quadrature components of SOC models are generally correlated. The correctness of all theoretical results is confirmed by simulations.
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