Cross-polarised antenna systems are an attractive way to reduce equipment size while maintaining low inter-antenna correlation. The cross-polar discrimination (XPD) is an important parameter of cross-polarised systems. Starting from the definition of Ricean fading channels, it is shown that the small-scale variations of the XPD have a doubly non-central F-distribution. The simulated XPD distribution obtained as a function of the Ricean parameters is successfully compared with measurement results for validation.
Quitin, F., Oestges, C., Horlin, F., & De Doncker, P. (2009). Small-scale variations of cross-polar discrimination in Ricean fading channels. Electronics Letters, 45(4), 213-214. https://doi.org/10.1049/el:20092524 (Original work published 2009)