On the statistical properties of the capacity of double Hoyt fading channels

The statistical properties of the capacity of narrowband double Hoyt fading channels are studied. Toward this end, analytical expressions for the probability density function (PDF) and cumulative distribution function (CDF) of the instantaneous channel capacity process are derived. Furthermore, for the characterization of the dynamical behavior of the time-varying channel capacity, expressions are provided for the level-crossing rate (LCR) and the average duration of fades (ADF). Since the double Rayleigh fading channel is a special case of the double Hoyt model, it is shown that the derived expressions can be reduced to the corresponding results already known for the capacity of the double Rayleigh fading channel. In addition, the correctness of all the derived quantities is confirmed by computer simulations. The obtained results are useful to study the behavior of the instantaneous capacity in mobile-to-mobile (M2M) communications, ad-hoc networks, and relay-based mobile communication systems.