By Giorgio M. Vitetta, Desmond P. Taylor, Giulio Colavolpe, Fabrizio Pancaldi, Philippa A. Martin(auth.)
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Extra info for Wireless Communications: Algorithmic Techniques
58) if A = 0, since I0 (0) = 1. 59) for KdB = −∞, 6 and 0 dB. usually expressed in decibels (KdB 10 log10 K). Note that Rayleigh fading corresponds to K = 0, whereas an additive white Gaussian noise channel (σa2 = 0) is obtained if K = +∞. 4, where the cases KdB = −∞ dB (Rayleigh fading), 6 dB and 0 dB are considered. Rician and Rayleigh models for the fading amplitude are commonly adopted in the technical literature. However, various researchers have shown that, in some scenarios, better agreement between theory and experimental results is obtained if the so-called Nakagami-m pdf is employed for the statistical characterization of fading amplitude (see [88, p.
It can be shown that: (m) is the gamma function (giving (m − 1)! 60) for large K. In various problems accurate knowledge of the second-order statistical characterization of a(t) is needed. In this chapter we focus only on some aspects of this problem, since only the autocorrelation function (along with the corresponding power spectral density) of the fading distortion is taken into consideration. Further information about second-order statistics can be found in the book . However, before tackling this problem from a mathematical viewpoint, it is useful to analyze the effects of the time-selective fading in the time and frequency domains.
6 Time evolution of the fading phase θ (t) for a sample function of time-selective fading a(t). to a speed17 v = 30 m/s = 108 km/h of the mobile receiver if fc = 1 GHz), so that fD Ts = 10−2 . 8. 6, respectively. These results show that the received signal undergoes substantial ﬂuctuations in amplitude and phase, and that, in particular, during deep fades quick phase variations may occur. 8. A MATLAB-based implementation of the algorithm developed in  for Jakes’ fading generation has been used.
Wireless Communications: Algorithmic Techniques by Giorgio M. Vitetta, Desmond P. Taylor, Giulio Colavolpe, Fabrizio Pancaldi, Philippa A. Martin(auth.)