Information rates employing 1-bit quantization and oversampling at the receiver

Abstract

The present paper deals with a bandlimited signal which is sampled with 1-bit precision at the receiver. The sampling rate is assumed to be an arbitrary integer multiple of the symbol rate. Assuming a scenario with additive Gaussian noise, pulse shaping filter and receive filter, the setup corresponds to a discrete channel with memory. The achievable rate is investigated by providing upper and lower bounds, where the latter correspond to different receiver principles. The numerical evaluation shows significant differences in the quality of the bounds. The results are valuable to evaluate system performance which confirm that oversampling with 1-bit precision is beneficial in terms of the achievable rate.