Bit error probability of coherent M-ary PSK over flat Rayleigh fading channels

Chalmers University of Technology, Goeteborg, Västra Götaland, Sweden
Electronics Letters (Impact Factor: 0.93). 11/2005; 41(21):1186 - 1187. DOI: 10.1049/el:20052348
Source: IEEE Xplore


Systems using coherent multilevel PSK to communicate over flat Rayleigh fading channels are considered. Presented is a closed-form expression for the exact bit error probability when the binary reflected Gray code is used to map bits to symbols. The result is a general, simple, and correct expression, which has not been previously available in the literature. A comparison between this new expression and previous approximate expressions shows that the difference is more significant for fading channels than for Gaussian channels.

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Available from: Erik Gustav Ström, May 30, 2013
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    ABSTRACT: In this paper, we study the transmission strategy in a two-way relay channel. In particular, we propose a new class of logM1 (M2)-MA (multi-access) block relay protocols where an M1-ary modulation is used in the MA phase, and an M2-ary in the broadcast phase. Lower-order (e.g., BPSK) and higher-order (e.g., 16-QAM, 32-PSK) modulations are used respectively for the multi-access phase and the broadcast phase, in contrast to the conventional method of using the same modulation type (of either higher or lower order) throughout. To achieve this, the relay buffers the received symbols from consecutive multi-access phases and performs signal combining in conjunction with the decode-and-forward protocol. We derive the theoretical performance bounds for the Rayleigh fading channels and closed forms for the AWGN channels. Numerical results confirm the advantages of the proposed scheme with an improved throughput in lower signal-to-noise ratio range.
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