Noncoherent Amplify-and-Forward Cooperative Networks: Robust Detection and Performance Analysis
Noncoherent Amplify-and-Forward Cooperative Networks: Robust Detection and Performance Analysis
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DOI：
10.1109/tcomm.2013.071013.120781
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发表时间：
2013-07
影响因子：
8.3
通讯作者：
Peng Liu;S. Gazor;Il Kim;Dong In Kim
中科院分区：
文献类型：
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作者：
Peng Liu;S. Gazor;Il Kim;Dong In Kim
我们开发了封闭形式的广义似然比检验（GLRT）序列检测器，用于多中继放大和前向（AF）合作网络，采用M-ary差分相移键控（M-DPSK）和非相干M-ary移频键控（M-FSK）。所提出的检测器在广泛的衰落环境中实现了鲁棒性能，在这些环境中，信道、信号功率、噪声方差和中继功能的先验知识对目的地是不可用的。对瑞利衰落下的误差概率性能进行了综合分析。具体地说，我们导出了双跳网络中两个检测器的统一的成对错误概率（PEP）表达式，该表达式适用于任意调制阶数M和任意序列长度Ns。我们还推导了在Ns = 1的情况下，在各种网络中使用二进制信号的两个检测器的统一误码概率（BEP）表达式。进一步证明了两种检测器都达到了接近全分集阶。最后，通过在实际场景中的广泛比较，证明了所提出的探测器优于最先进的非相干探测器。例如，在多中继网络中，其中中继在源和目标之间均匀分布，所提出的Ns = 1的非相干FSK检测器在高信噪比下比众所周知的最大能量选择器高出近15 dB。
We develop closed-form generalized likelihood ratio test (GLRT) sequence detectors for multi-relay amplify-and-forward (AF) cooperative networks employing M-ary differential phase-shift keying (M-DPSK) and noncoherent M-ary frequency-shift keying (M-FSK). The proposed detectors achieve robust performance in a wide range of fading environments where prior knowledge of channels, signal powers, noise variances, and relay functionalities is unavailable to the destination. A comprehensive error probability performance analysis is carried out in Rayleigh fading. Specifically, we derive unified pairwise error probability (PEP) expressions for both detectors in a dual-hop network, which are valid for arbitrary modulation order M and arbitrary sequence length Ns. We also derive unified bit-error probability (BEP) expressions for both detectors employing binary signalings in various networks for Ns = 1. It is further shown that both detectors achieve near full diversity orders. Finally, the superiorities of the proposed detectors over the state-of-the-art noncoherent detectors are justified through extensive comparisons in practical scenarios. For example, in a multi-relay network where the relays are uniformly distributed between the source and destination, the proposed detector for noncoherent FSK with Ns = 1 outperforms the well-known maximum energy selector by almost 15 dB in high signal-to-noise ratios.