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arXiv · 2105.06187

On information rates over a binary input channel

Michael Peleg·Tomer Michaeli·Shlomo Shamai
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Abstract

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

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Michael Peleg, Tomer Michaeli, Shlomo Shamai. 2021-10-06. On information rates over a binary input channel. https://doi.org/10.1109/ojcoms.2021.3115096

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