Published in Kopp, B. T., & Osborne, W. P. (1997). Phase jitter in MPSK carrier tracking loops: analytical, simulation and laboratory results. IEEE Transactions on Communications, 45(11), 1385-1388. doi: 10.1109/26.649752 ©1997 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.


A performance characteristic of M-ary phase shift keying (MPSK) receivers is the variance of the phase error between the received and recovered signal carriers. For binary phase shift keying (BPSK) and quadrature phase shift keying (QPSK) loops utilizing integrate and dump filters and operating in the linear region, closed-form solutions for this variance exist [1], [2]. In this paper the variance is found by numerical methods for M > 4. For verification and to investigate operation in the nonlinear region, computer simulation and hardware modeling were used [3].