  High data rates require vast bandwidths, that can be found in the sub-THz
band, and high sampling frequencies, which are predicted to lead to a
problematically high analog-to-digital converter (ADC) power consumption. It
was proposed to use 1-bit ADCs to mitigate this problem. Moreover, oscillator
phase noise is predicted to be especially high at sub-THz carrier frequencies.
For synchronization the phase must be tracked based on 1-bit quantized
observations. We study iterative data-aided phase estimation, i.e., the
expectation-maximization and the Fisher-scoring algorithm, compared to
least-squares (LS) phase estimation. For phase interpolation at the data
symbols, we consider the Kalman filter and the Rauch-Tung-Striebel algorithm.
Compared to LS estimation, iterative phase noise tracking leads to a
significantly lower estimation error variance at high signal-to-noise ratios.
However, its benefit for the spectral efficiency using zero-crossing modulation
(ZXM) is limited to marginal gains for high faster-than-Nyquist signaling
factors, i.e., higher order ZXM modulation.
