论文标题
通信系统具有量化和光谱约束的能力界限
Capacity Bounds for Communication Systems with Quantization and Spectral Constraints
论文作者
论文摘要
低分辨率的数字到Analog和类似物对数字转换器(DACS和ADC)在减少毫米波(MMWave)和大量MIMO系统的努力方面引起了极大的关注。本文提出了一个信息理论分析,具有量化的线性收发器类别的能力界限。发射器通过单一变换随后进行DAC调节符号,接收器采用ADC,然后采用反向统一变换。如果将单位变换设置为FFT矩阵,则该模型自然捕获过滤和光谱约束,这对于在任何实际收发器中建模至关重要。特别是,该模型允许研究量化对带外排放限制的影响。在大型随机统一变换的极限下,可以通过加性高斯噪声模型来精确描述量化的效果。反过来,该模型会导致传输信号的功率谱和通过量化与容量的下限结合的简单和直观的表达式。与非量化容量和不进行线性假设的容量上限进行比较表明,尽管低分辨率量化对当今5G系统中典型参数的可实现速率的影响最小,但满足带外排放的可能性可能更大。
Low-resolution digital-to-analog and analog-to-digital converters (DACs and ADCs) have attracted considerable attention in efforts to reduce power consumption in millimeter wave (mmWave) and massive MIMO systems. This paper presents an information-theoretic analysis with capacity bounds for classes of linear transceivers with quantization. The transmitter modulates symbols via a unitary transform followed by a DAC and the receiver employs an ADC followed by the inverse unitary transform. If the unitary transform is set to an FFT matrix, the model naturally captures filtering and spectral constraints which are essential to model in any practical transceiver. In particular, this model allows studying the impact of quantization on out-of-band emission constraints. In the limit of a large random unitary transform, it is shown that the effect of quantization can be precisely described via an additive Gaussian noise model. This model in turn leads to simple and intuitive expressions for the power spectrum of the transmitted signal and a lower bound to the capacity with quantization. Comparison with non-quantized capacity and a capacity upper bound that does not make linearity assumptions suggests that while low resolution quantization has minimal impact on the achievable rate at typical parameters in 5G systems today, satisfying out-of-band emissions are potentially much more of a challenge.