Asymptotic Bounds of the Error Probability for a Gaussian Channel with Feedback and a Peak-Power Constraint on the Input Signal

The block transmission of discrete messages in a stationary memoryless Gaussian channel with full feedback and a peak-power constraint on the input signal is described. Two types of channels are investigated: a binary-input semicontinuous channel (with constant peak power) and a continuous-time channel with white Gaussian noise and a peak-power constraint on the input signal. Upper and lower asymptotic bounds are obtained for the optimum error probability for the investigated block transmission.