Phase difference statistics for Nakagami-m fading channels

We propose a new channel model for investigating the impact of imperfect channel state information (CSI) over Nakagami-m fading channels. A new definition of the phase difference between two correlated Nakagami random variables is proposed and its probability density function, which depends on the fading parameter m and the power correlation coefficients, is developed. Its first order statistical properties are investigated and simplified. This model looks to be a major contender for investigating the impact of imperfect CSI on Nakagami fading channels.