Asymptotic Error Probability for Transmission over a Channel with White Gaussian Noise and Instantaneous Noiseless Feedback

This paper describes the transmission of information which takes on a finite number of equiprobable values and which is independent of the noise in the communication channel, over a channel with continuous time and instantaneous (complete) noiseless feedback. The additive noise in the communication channel is defined by means of a generalized random process, called white Gaussian noise. The exponent of the error probability (the reliability function) for such transmission is calculated.