A method to approximate the transmission rate of phase signal with amplitude uncertainty

This paper considers the case of transmitting and receiving a continuous phase signal whose amplitude is degraded by an unknown uniformly distributed real signal. Therefore, the receiver does not have the knowledge of the instantaneous amplitude. In such context, this study is aimed at calculating an approximately transmission rate of the continuous phase signal with a consideration of the amplitude uncertainty. Simulation results are also provided to validate the theoretical analysis. They show that the approximately theoretical expression is in agreement with the simulated version when the transmitter uses sufficiently large transmitting power. We also provide an example of cooperative spectrum sharing as a demonstration of application of this analysis in practice.