部分枚举球体成形
Partial Enumerative Sphere Shaping
摘要：
讨论了在加性高斯白噪声（AWGN）信道下，输入分布的高斯性与系统容量的关系。我们表明，一组特定的近似麦克斯韦-玻尔兹曼（MB）分布几乎关闭了大部分的成形间隙。我们将这些符号级分布与比特级分布相关联，并证明它们对应于保持一些幅度比特级均匀且独立于其他比特级。然后，我们提出了部分枚举球整形（P-ESS）实现概率幅度整形（PAS）框架中的分布。在AWGN信道上的仿真表明，对16-ASK的2个幅度比特进行整形与对3个比特进行整形具有几乎相同的性能，这比以3比特/符号的速率进行均匀信令的功率效率高1.3dB。以这种方式，所需的存储和成形的计算复杂度分别减少了6倍和3倍。
英文摘要：
The dependency between the Gaussianity of the input distribution for the additive white Gaussian noise (AWGN) channel and the gap-to-capacity is discussed. We show that a set of particular approximations to the Maxwell-Boltzmann (MB) distribution virtually closes most of the shaping gap. We relate these symbol-level distributions to bit-level distributions, and demonstrate that they correspond to keeping some of the amplitude bit-levels uniform and independent of the others. Then we propose partial enumerative sphere shaping (P-ESS) to realize such distributions in the probabilistic amplitude shaping (PAS) framework. Simulations over the AWGN channel exhibit that shaping 2 amplitude bits of 16-ASK have almost the same performance as shaping 3 bits, which is 1.3 dB more power-efficient than uniform signaling at a rate of 3 bit/symbol. In this way, required storage and computational complexity of shaping are reduced by factors of 6 and 3, respectively.
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