Published in Osborne, W., & Kopp, B. (1993). An analysis of carrier phase jitter in an M-PSK receiver utilizing MAP estimation. IEEE Military Communications Conference, 1993. MILCOM '93. Conference record. 'Communications on the Move,' v.2, 465-470. doi: 10.1109/MILCOM.1993.408624 ©1993 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE. This material is presented to ensure timely dissemination of scholarly and technical work. Copyright and all rights therein are retained by authors or by other copyright holders. All persons copying this information are expected to adhere to the terms and constraints invoked by each author's copyright. In most cases, these works may not be reposted without the explicit permission of the copyright holder.


The use of 8 and 16 PSK TCM to support satellite communications in an effort to achieve more bandwidth efficiency in a power-limited channel has been proposed. The authors address the problem of carrier phase jitter in an M-PSK receiver utilizing the high SNR approximation to the maximum a posteriori estimation of carrier phase. In particular, numerical solutions to 8 and 16 PSK self-noise and the amplitude suppression factor in the loop are presented. The effect of changing SNR on the loop noise bandwidth is also discussed. This data is then used to compute variance of phase error as a function of SNR. Simulation data is used to verify these calculations. The results show that there is a threshold in the variance of phase error verse SNR curves that is a strong function of SNR and a weak function of loop bandwidth. The M-PSK variance thresholds occur at SNRs in the range of practical interest for the use of 8 and 16-PSK TCM. This suggests that phase error variance is an important consideration in the design of these systems