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Performance Analysis of Approximate ML Detection of MPSK Signals Transmitted over AWGN Channels
IEICE TRANSACTIONS on Communications
Publication Date: 1997/05/25
Print ISSN: 0916-8516
Type of Manuscript: PAPER
Category: Communication Theory
maximum likelihood detection, M-ary Phase Shift Keying (MPSK), coherent detection, Viterbi algorithm,
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Approximate maximum likelihood (ML) detection implemented by a reduced state Viterbi algorithm (VA), called the reduced state Viterbi coherent detection (RSVCD) algorithm in this paper, is described for the reception of uncoded M-ary PSK (MPSK) signals transmitted over additive white Gaussian noise (AWGN) channels. An M-state trellis, each state representing one of M signal constellation points, is used. The RSVCD algorithm performs parallel channel estimation based on the per-survivor processing principle (PSPP). Simple decision feedback CD (DFCD) is deduced as a special case of RSVCD. Unified BER expressions are derived for RSVCD, DFCD, and approximate ML detection implemented as an ML-state Viterbi algorithm (referred to as VACD)  as well as ideal CD and differential detection (DD). Computer simulation results are also presented and compared with theoretical results.