  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.
