5G MIMO无线信道中具有真实LDPC码的QAM星座的映射器侧几何成形
Mapper Side Geometric Shaping for QAM Constellations in 5G MIMO Wireless Channel with Realistic LDPC Codes
摘要：
在无线通信系统中，存在用于信号传输的许多阶段。其中，映射和解映射将比特序列转换为复数序列，反之亦然。这个操作是由星座系统来完成的--由复平面上的一组标记点来完成。通常，星座的几何形状是固定的，并且星座点是均匀间隔的，例如，相同的正交幅度调制（QAM）用于宽范围的信噪比（SNR）。通过消除星座的一致性，可以实现更大的容量值。由于当前标准的限制，很难在映射器或解映射器侧改变星座。在这种情况下，可以使用原始方法仅在映射器或解映射器侧优化星座。通过容量的数值计算，说明了最佳几何星座的选择依赖于信噪比。通过最大化互信息（MI）来进行优化。MI函数描述通过具有最佳编码的信道传输的信息量。为了证明这种方法的有效性，我们使用现实的LDPC码和MIMO 5G OFDM信道在现代物理级Sionna仿真器中提供了数值实验。
英文摘要：
In wireless communication systems, there are many stages for signal transmission. Among them, mapping and demapping convert a sequence of bits into a sequence of complex numbers and vice versa. This operation is performed by a system of constellations~ -- by a set of labeled points on the complex plane. Usually, the geometry of the constellation is fixed, and constellation points are uniformly spaced, e.g., the same quadrature amplitude modulation (QAM) is used in a wide range of signal-to-noise ratio (SNR). By eliminating the uniformity of constellations, it is possible to achieve greater values of capacity. Due to the current standard restrictions, it is difficult to change the constellation both on the mapper or demapper side. In this case, one can optimize the constellation only on the mapper or the demapper side using original methodology. By the numerical calculating of capacity, we show that the optimal geometric constellation depends on SNR. Optimization is carried out by maximizing mutual information (MI). The MI function describes the amount of information being transmitted through the channel with the optimal encoding. To prove the effectiveness of this approach we provide numerical experiments in the modern physical level Sionna simulator using the realistic LDPC codes and the MIMO 5G OFDM channels.
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