Communication Systems by Marcelo S. Alencar & Valdemar C. da Rocha Jr

Author:Marcelo S. Alencar & Valdemar C. da Rocha Jr.
Language: eng
Format: epub
ISBN: 9783030254629
Publisher: Springer International Publishing

(7.5)

Integrating the above expression for all values of x, the marginal probability distribution for the phase results

(7.6)

in which the function Q(x) is defined in the usual manner

(7.7)

The signal-to-noise ratio is a parameter given by . Expression (7.6) generates a curve with a bell shape for high values of the signal-to-noise ratio. For this probability distribution converges to a uniform distribution (Schwartz 1970).

Another distribution that has found application for modeling fading in multipath environments is the Nakagami pdf. This distribution can be applied in the situation in which there is a random superposition of random vector components (Shepherd 1988). The Nakagami probability density function is given by

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