| Meaning: |
The class
JakesDistribution
implementes a continuous distribution which delivers
random variables in accordance with Jake's Doppler power density spectrum.
Jake's power density spectrum is often used to model the distribution of
Doppler shifts in a fading channel. The distribution delivers random
variables according to Jake's spectrum between - Fdmax and +Fdmax. For an
introduction to this topic and the inverse of the cdf see in the references. |
| Parameters: |
maximum Doppler shift \(f_{D,max}\) |
| PDF: |
\(P(T=t) = f(t) = \frac{1}{\pi \cdot f_{D,max} \cdot \sqrt{1-
\frac{t}{f_{D,max}}}} \mbox{ for } |t| < f_{D,max} \) |
| DF: |
\(P(T \le t) = F(t) = \frac{1}{2} + \frac{1}{\pi} \cdot
\arcsin{\frac{t}{f_{D,max}}} \mbox{ for } |t| < f_{D,max}\) |
| Expected value: |
\(E[T]= 0\) |
| Variance: |
\(VAR[T]= \frac{1}{2}f_{D,max}^2\) |
| Coefficient of variation: |
not applicable |
| Parser example: |
[...].Distribution =
JakesDistribution
[...].Distribution.Fdmax = 100.0 # Hz
|
| References: |
-
P. Hoeher: Kohaerenter Empfang trelliscodierter PSK-Signale auf
frequenzselektiven Mobilfunkkanaelen - Entzerrung, Decodierung und
Kanalparameterschaetzung, VDI Fortschrittsberichte, Reihe 10, Nr. 147.
-
P. Hoeher: A Statistical Discrete-Time Model for the WSSUS Multipath Channel,
IEEE Transactions on Vehicular Technology, Vol. 41, No. 4, pp. 461-468,
November 1992.
|