The recent release of the cellular standard known as 5G New Radio (5G-NR) has adopted polar codes for error protection in the physical downlink control channel (PDCCH). We develop a novel joint detection and decoding algorithm for 5G multiple-input multiple-output (MIMO) transceivers to achieve robustness against practical obstacles including channel state information (CSI) errors, noise, interferences, and pilot contamination. To optimize the performance of PDCCH detection, we incorporate the polar code information during signal detection by transforming the Galois field code constraints into the complex signal field. Specifically, our novel joint linear programming (LP) formulation takes into consideration the transformed polar code constraints. Our proposed detector can also be integrated with effective successive cancellation list (SCL) decoders to deliver superior receiver performance and improve the computational efficiency compared to turbo approach joint detection decoding design. Moreover, similar to 4G-LTE, each active user equipment (UE) must blindly detect its own PDCCH in the downlink search space. We further introduce a metric readily available at the detector that can be used to eliminate most of wrong PDCCH candidates before sending them to the decoder and therefore, improve the computational efficiency of PDCCH blind detection for 5G-NR.

中文翻译：

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极化编码的 5G 控制信道的联合检测和解码

最近发布的被称为 5G 新无线电 (5G-NR) 的蜂窝标准在物理下行链路控制信道 (PDCCH) 中采用了极性码进行错误保护。我们为 5G 多输入多输出 (MIMO) 收发器开发了一种新颖的联合检测和解码算法，以实现对实际障碍的鲁棒性，包括信道状态信息 (CSI) 错误、噪声、干扰和导频污染。为了优化 PDCCH 检测的性能，我们在信号检测过程中通过将伽罗瓦域代码约束转换为复信号域来合并极性代码信息。具体来说，我们新颖的联合线性规划 (LP) 公式考虑了转换后的极坐标代码约束。与 Turbo 方法联合检测解码设计相比，我们提出的检测器还可以与有效的连续消除列表 (SCL) 解码器集成，以提供卓越的接收器性能并提高计算效率。此外，与 4G-LTE 类似，每个活动用户设备 (UE) 必须在下行链路搜索空间中盲检测自己的 PDCCH。我们进一步引入了检测器处可用的度量，该度量可用于在将大多数错误的 PDCCH 候选发送到解码器之前消除它们，从而提高 5G-NR 的 PDCCH 盲检测的计算效率。每个活动用户设备（UE）必须在下行链路搜索空间中盲检测自己的 PDCCH。我们进一步引入了检测器处可用的度量，该度量可用于在将大多数错误的 PDCCH 候选发送到解码器之前消除它们，从而提高 5G-NR 的 PDCCH 盲检测的计算效率。每个活动用户设备（UE）必须在下行链路搜索空间中盲检测自己的 PDCCH。我们进一步引入了检测器处可用的度量，该度量可用于在将大多数错误的 PDCCH 候选发送到解码器之前消除它们，从而提高 5G-NR 的 PDCCH 盲检测的计算效率。