The η-μ Joint phase-envelope distribution

This letter derives a simple and closed-form expression for the phase-envelope joint distribution of the η-μ fading environment, a general fading model that includes the Hoyt and the Nakagami- models as special cases. In the same way, the marginal distribution of the phase is also obtained in an exact closedform expression. The phase distribution is then used in order to derive the probability density funtion (pdf) of the envelope time derivative, which, as opposed to the Nakagami-m and Rice models, is not Gaussian.