We investigate design and performance of communications over the bandlimited Gaussian channel with one-bit output quantization. A transceiver structure is proposed, which generates the channel input using a finite set of time-limited and approximately bandlimited waveforms, and performs oversampling on the channel output by an integrate-and-dump filter preceding the one-bit quantizer. The waveform set is constructed based on a specific bandlimited random process with certain zero-crossing properties which can be utilized to convey information. In the presence of the additive white Gaussian noise, a discrete memoryless channel model of our transceiver is derived. Consequently, we determine a closed-form expression for the high signal-to-noise-ratio (SNR) asymptotic information rate of the transceiver, which can be achieved by independent and identically distributed input symbols. By evaluating the fractional power containment bandwidth, we further show that at high SNR, the achievable spectral efficiency grows roughly logarithmically with the oversampling factor, coinciding with a notable result in the absence of noise [19]. Moreover, the error performance of our transceiver is evaluated by low density parity check coded modulation. Numerical results demonstrate that reliable communication at rates exceeding one bit per Nyquist interval can be achieved at moderate SNR.

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具有一位量化和过采样的带限通信：收发器设计和性能评估

我们研究了具有一位输出量化的带限高斯信道上的通信设计和性能。提出了一种收发器结构，它使用一组有限的时间限制和近似带宽限制的波形来生成通道输入，并通过一位量化器之前的积分转储滤波器对通道输出执行过采样。波形集是基于特定的带限随机过程构建的，具有某些可用于传递信息的过零特性。在存在加性高斯白噪声的情况下，导出了我们收发器的离散无记忆信道模型。因此，我们确定了收发器的高信噪比 (SNR) 渐近信息率的闭式表达式，这可以通过独立同分布的输入符号来实现。通过评估部分功率控制带宽，我们进一步表明，在高 SNR 下，可实现的频谱效率随过采样因子大致呈对数增长，与在没有噪声的情况下取得显着结果一致 [19]。此外，我们的收发器的错误性能是通过低密度奇偶校验编码调制来评估的。数值结果表明，在中等 SNR 下，可以实现超过每奈奎斯特间隔一位的速率的可靠通信。此外，我们的收发器的错误性能是通过低密度奇偶校验编码调制来评估的。数值结果表明，在中等 SNR 下，可以实现超过每奈奎斯特间隔一位的速率的可靠通信。此外，我们的收发器的错误性能是通过低密度奇偶校验编码调制来评估的。数值结果表明，在中等 SNR 下，可以实现超过每奈奎斯特间隔一位的速率的可靠通信。