A Belief Propagation-Based Framework for Soft Multiple-Symbol Differential Detection

Soft noncoherent detection, which relies on calculating the a posteriori probabilities (APPs) of the bits transmitted with no channel estimation, is imperative for achieving excellent detection performance in high-dimensional wireless communications. In this paper, a high-performance belief propagat...

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Bibliographic Details
Published in:IEEE transactions on wireless communications 2016-10, Vol.15 (10), p.7128-7142
Main Authors: Wang, Chanfei, Lv, Tiejun, Gao, Hui, Yang, Shaoshi
Format: Article
Language:English
Subjects:
a posteriori probability (APP)
Belief propagation
belief propagation (BP)
Computational complexity
Iterative decoding
Message passing
multiple-symbol differential detection (MSDD)
Receivers
Soft-input soft-output (SISO)
Viterbi algorithm (VA)
Wireless communication
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Summary:Soft noncoherent detection, which relies on calculating the a posteriori probabilities (APPs) of the bits transmitted with no channel estimation, is imperative for achieving excellent detection performance in high-dimensional wireless communications. In this paper, a high-performance belief propagation (BP)-based soft multiple-symbol differential detection (MSDD) framework, dubbed BP-MSDD, is proposed with its illustrative application in differential space-time block-code(DSTBC)-aided ultra-wideband impulse radio (UWB-IR) systems. First, we revisit the signal sampling with the aid of a trellis structure and decompose the trellis into multiple subtrellises. Furthermore, we derive an APP calculation algorithm, in which the forward-and-backward message passing mechanism of BP operates on the subtrellises. The proposed BP-MSDD is capable of significantly outperforming the conventional hard-decision MSDDs. However, the computational complexity of the BP-MSDD increases exponentially with the number of MSDD trellis states. To circumvent this excessive complexity for practical implementations, we reformulate the BP-MSDD, and additionally propose a Viterbi algorithm-based hard-decision MSDD (VA-HMSDD) and a VA-based soft-decision MSDD (VA-SMSDD). Moreover, both the proposed BP-MSDD and VA-SMSDD can be exploited in conjunction with soft channel decoding to obtain powerful iterative detection and decoding-based receivers. Simulation results demonstrate the effectiveness of the proposed algorithms in DSTBC-aided UWB-IR systems.
ISSN:1536-1276
1558-2248
DOI:10.1109/TWC.2016.2598169