论文标题
关于高斯通道的能力实践输入，具有极性量化
On the Capacity-Achieving Input of the Gaussian Channel with Polar Quantization
论文作者
论文摘要
极性接收器体系结构是一种接收器设计，可捕获信号的包络和相位信息，而不是其同相和正交组件。几项研究表明，极性接收器对相位噪声和其他非线性的鲁棒性。然而，文献中尚未研究具有有限精确量化器的极性接收器的信息理论限制。这项工作的主要贡献是确定添加剂白色高斯噪声（AWGN）通道的最佳信号传导策略，并在输出处进行极性量化。更确切地说，我们表明，能力实现调制方案具有振幅相位移位键合（APSK）结构。使用此结果，通过数值优化振幅的概率质量函数来确定输出处极性量化的AWGN通道的容量。还介绍了具有$ B_1 $ -BIT相位量化和优化的单位幅度量化器的极性量化AWGN通道的容量。我们的数值发现表明存在信噪比（SNR）阈值的存在，高于该阈值，最佳APSK方案的振幅级别及其各自的概率突然改变。此外，随着SNR的增加，能力方面的输入演变的方式取决于相量化位的数量。
The polar receiver architecture is a receiver design that captures the envelope and phase information of the signal rather than its in-phase and quadrature components. Several studies have demonstrated the robustness of polar receivers to phase noise and other nonlinearities. Yet, the information-theoretic limits of polar receivers with finite-precision quantizers have not been investigated in the literature. The main contribution of this work is to identify the optimal signaling strategy for the additive white Gaussian noise (AWGN) channel with polar quantization at the output. More precisely, we show that the capacity-achieving modulation scheme has an amplitude phase shift keying (APSK) structure. Using this result, the capacity of the AWGN channel with polar quantization at the output is established by numerically optimizing the probability mass function of the amplitude. The capacity of the polar-quantized AWGN channel with $b_1$-bit phase quantizer and optimized single-bit magnitude quantizer is also presented. Our numerical findings suggest the existence of signal-to-noise ratio (SNR) thresholds, above which the number of amplitude levels of the optimal APSK scheme and their respective probabilities change abruptly. Moreover, the manner in which the capacity-achieving input evolves with increasing SNR depends on the number of phase quantization bits.
