In this paper, study of the second order statistics of the Nakagami-Hoyt fading channel model (Nakagami-q model) is considered. Expressions for the level crossing rate (LCR) as well as the average duration of fades (ADF) are derived. It is shown that the obtained analytical quantities best fit the corresponding measurement data for an equivalent mobile satellite channel in the case of an environment with heavy shadowing. This leads to the conclusion that the Nakagami-q model is applicable to realistic mobile communication channels. A simple and efficient deterministic simulation model based on the Rice's sum of sinusoids, which enables the emulation of the fading envelope of the Nakagami-q model with the desired statistics, is also described. A very good agreement is obtained between the simulated, analytical, and experimental statistics.