  To relax power consumption requirements in multigigabit/s communications
systems low resolution quantization can be used. Information-theoretic results
have shown that systems employing 1-bit quantization and oversampling are a
viable option for this. This work investigates such a structure under the
influence of additive Gaussian noise and two matched pulse shaping filters. It
is described how a BCJR algorithm, based on a finite-state channel assumption,
can be used to reconstruct symbols of higher order modulation schemes that
allow the transmission of more than one bit per symbol. Furthermore, it is
shown how symbol sources that are fitted to the 1-bit constraint can
significantly improve the error rate performance of the system.
