Signaling over the Gaussian channel with intermittent feedback

Abstract

Abstract-Optimal signaling is studied over a power-limited Gaussian channel with intermittent feedback, where a random mechanism-whose outcome is unknown to the receiverdetermines whether or not the output symbol is fed back to the encoder. If the output symbols are fed back with probability smaller than one half, then even the two-messages error probability cannot decay faster than exponentially in the blocklength. But if this probability is greater than one half, then, even for some positive rates, a doubly exponential decay is achievable.