On Information Rates over a Binary-Input Filtered Gaussian Channel

We study communication systems over band-limited Additive White Gaussian Noise (AWGN) channels in which the transmitter’s output is constrained to be symmetric binary (bipolar). We improve the available Ozarow-Wyner-Ziv (OWZ) lower bound on capacity which is based on peak-power constrained pulse-amplitude modulation, by introducing new schemes (achievability) with two advantages over the studied OWZ schemes. Our schemes achieve a moderately improved information rate and they do so with much fewer sign transitions of the binary signal. The gap between the known upper bound, which is based on spectral constrains of bipolar signals, and our new achievable lower bound is reduced to 0.93 bits per Nyquist interval at high SNR.