A study on the statistical properties of double hoyt fading channels

This paper deals with a study on the statistical properties of narrowband amplify-and-forward relay fading channels for Hoyt multipath propagation environments. We consider the basic radio link topology, where only one fixed relay station is used for the amplification. In this case, the envelope of the signal received over the overall multipath channel is modeled by the so-called double Hoyt fading process. Considering this multipath propagation channel model, analytical expressions for the first and second order statistics are provided. Specifically, the mean value, variance, probability density function (PDF), level-crossing rate (LCR), and average duration of fades (ADF) of double Hoyt processes are derived. In addition, an expression for the PDF of the corresponding channel phase is also provided. Since the double Rayleigh fading channel is a special case of the double Hoyt model, it will be shown how the derived expressions can be reduced to the results known for the double Rayleigh fading channel. Moreover, the validity of the derived quantities is confirmed by computer simulations.