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Multiple trellis-coded modulation,per-survivor processing and Reed–Solomon coding in the presence of phase noise
Institution:1. School of Physics and Optoelectronic Engineering, Xidian Univ., Xi’an 710071, China;2. Key Laboratory of Space Laser Communication and Detection Technology, Shanghai Institute of Optics and Fine Mechanics, Chinese Academy of Sciences, Shanghai 201800, China;3. The National Key Laboratory of Radar Signal Processing, Xidian University, Xi’an 710071, China;1. School of Electrical Engineering and Telecommunication, University of New South Wales, Australia;2. Data61, CSIRO, Australia;3. Australian National University, Australia;1. Air Traffic Control and Navigation College, Air Force Engineering University, China;2. Air and Missile Defense College, Air Force Engineering University, China;1. School of Computer Science and Technology, Shandong University, Jinan, China;2. Information and Electronic Engineering, Muroran Institute of Technology, Japan
Abstract:The aim of this paper is to consider trellis coded modulation (TCM) in the presence of phase noise. The starting point is a two-dimensional 32 point cross (32-CR) signal set that has served as a benchmark for other power and bandwidth efficient modulation schemes. Per-survivor processing (PSP) is used for carrier phase estimation, and both the phase acquisition (transient state) and phase tracking (steady state) performances are considered in an additive white Gaussian noise (AWGN) channel, in which phase offset or time varying phase noise is introduced. Based on the theoretical and simulation results it can be said that the 32-CR constellation is itself more sensitive to a phase error rather than the PSP algorithm. Due to the phase error the TCM scheme becomes a catastrophic code. Possible solutions include stringent phase noise requirements for oscillators, multiple trellis-coded modulation (MTCM) and concatenated TCM and Reed–Solomon (RS) coding. Our simulation results show that a simple combined MTCM, PSP and RS scheme has around 3 dB advantage compared to the pure TCM and PSP in the presence of phase noise. A semianalytical approach is used for performance evaluation, and the method is a particularly convenient tool to determine the rate of RS coding in detail.
Keywords:Channel coding  Maximum likelihood estimation  Modulation  Phase noise  Tracking loops
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