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Reduced-Complexity Soft-Decision Multiple-Symbol Differential Sphere Detection

机译：降低复杂度的软判决多符号微分球检测

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摘要

Unlike a generic PSK/QAM detector, which may visit a constellation diagram only once, a depth-first Sphere Decoder (SD) has to re-visit the same constellation diagram multiple times. Therefore, in order to prevent the SD from repeating the detection operations, the Schnorr-Euchner search strategy of Schnorr and Euchner may be invoked for optimizing the nodes' search-order, where the ideal case is for the SD to visit the constellation nodes in a zigzag fashion. However, when the hard-decision Multiple-Symbol Differential Sphere Detection (MSDSD) of Lampe is invoked for using multiple receive antennas , the Schnorr-Euchner search strategy has to visit and sort all the constellation points. A similar situation is encountered for the soft-decision MSDSD of Pauli , when the LLRs gleaned from the channel decoder are taken into account. In order to tackle these open problems, in this paper, we propose a correlation process for the hard-decision MSDSD of Lampe and a reduced-complexity design for the soft-decision MSDSD of Pauli , so that the Schnorr-Euchner search strategy always opts for visiting the constellation points in a zigzag fashion. Our simulation results demonstrate that a substantial complexity reduction is achieved by our reduced-complexity design . Explicitly, up to 88.7% complexity reduction is attained for MSDSD aided D16PSK. This complexity reduction is quite substantial, especially when the MSDSD is invoked several times- during turbo detection. Furthermore, in order to offer an improved solution and a comprehensive study for the soft-decision MSDSD, we also propose to modify the output of the SD to harmonize its operation with the near-optimum Approx-Log-MAP. Then the important subject of coherent versus noncoherent is discussed in the context of coded systems, which suggests that MSDSD aided DPSK is an eminently suitable candidate for turbo detection assisted coded systems operating at high Doppler frequencies.
机译：与可能只访问一次星座图的通用PSK / QAM检测器不同，深度优先球形解码器（SD）必须多次访问同一星座图。因此，为了防止SD重复检测操作，可以调用Schnorr和Euchner的Schnorr-Euchner搜索策略来优化节点的搜索顺序，其中理想的情况是SD可以访问SD节点中的星座节点。锯齿形的时尚。但是，当使用多个接收天线调用Lampe的硬决策多符号差分球检测（MSDSD）时，Schnorr-Euchner搜索策略必须访问并分类所有星座点。当考虑从信道解码器收集的LLR时，对于Pauli的软决策MSDSD也会遇到类似的情况。为了解决这些开放性问题，在本文中，我们为Lampe的硬决策MSDSD提出了一个相关过程，并为Pauli的软决策MSDSD提出了一个降低复杂度的设计，以便始终选择Schnorr-Euchner搜索策略以曲折的方式访问星座点。我们的仿真结果表明，通过降低复杂度的设计可以显着降低复杂度。明确地说，MSDSD辅助D16PSK的复杂度降低了88.7％。这种复杂性的降低是相当可观的，尤其是在Turbo检测期间多次调用MSDSD时。此外，为了为软决策MSDSD提供改进的解决方案和全面的研究，我们还建议修改SD的输出，以使其与接近最佳的Approx-Log-MAP协调一致。然后，在编码系统的背景下讨论了相干与非相干的重要主题，这表明MSDSD辅助的DPSK非常适合在高多普勒频率下工作的Turbo检测辅助的编码系统。

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