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Rayleigh fading
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===Level crossing rate=== The level crossing rate is a measure of the rapidity of the fading. It quantifies how often the fading crosses some threshold, usually in the positive-going direction. For Rayleigh fading, the level crossing rate is:<ref name="rappaport">{{cite book|title=Wireless Communications: Principles and Practice|edition=2nd|author=T. S. Rappaport|date=December 31, 2001|publisher=Prentice Hall PTR|isbn=978-0-13-042232-3}}</ref> :<math>\mathrm{LCR} = \sqrt{2\pi}f_d\rho e^{-\rho^2}</math> where <math>f_d</math> is the maximum Doppler shift and <math>\,\!\rho</math> is the threshold level normalised to the [[root mean square]] (RMS) signal level: :<math>\rho = \frac{R_\mathrm{threshold}}{R_\mathrm{rms}}.</math>
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