On the capacity of CPM over Rayleigh fading channels

In this paper, an algorithm is proposed to calculate the capacity of continuous phase modulation (CPM) over Rayleigh fading channels. The proposed algorithm is an extension of the simulation-based algorithm for calculating information rates of channels with memory. We modify the algorithm by taking into account the fading coefficients. The capacity of CPM over Rayleigh fading channels is evaluated by Monte Carlo simulation based on the assumptions that the input symbols at the CPM modulator are independent and uniformly distributed. We consider both the cases where the receiver has perfect knowledge of the channel state information as well as the receiver does not.