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===Average fade duration=== The average fade duration quantifies how long the signal spends below the threshold <math>\,\!\rho</math>. For Rayleigh fading, the average fade duration is:<ref name="rappaport" /> :<math>\mathrm{AFD} = \frac{e^{\rho^2}-1}{\rho f_d \sqrt{2\pi}}.</math> The level crossing rate and average fade duration taken together give a useful means of characterizing the severity of the fading over time. For a particular normalized threshold value <math>\rho</math>, the product of the average fade duration and the level crossing rate is a constant and is given by :<math>\mathrm{AFD} \times \mathrm{LCR} = 1 - e^{-\rho^2}. </math>
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