Abstract
A source sends successively each of a set of messages over a noisy channel to a receiver who records them. After recording a message, the receiver decides whether or not he has correctly heard the message according to a criterion which he has adopted. Then, using a binary signal that is always heard by the source, he confirms or rejects the message. If it is confirmed by the receiver, the source sends the next message in the set, and, if it is rejected, the source repeats the rejected message until it is either confirmed or sent a fixed number of times. A simple probability model that describes this process with some accuracy was developed earlier at the Hearing and Communication Laboratory for the case of a source operating under a criterion. It is applied to the present situation, and experimental evidence obtained under several different criteria and noise conditions is presented. The constancy of the probability of a correct or incorrect confirmation of a message over successive presentations is discussed. (This research was carried out while the author was a National Science Foundation Fellow, and was supported in part by the U. S. Air Force under Contract No. AF 18(600)-571, monitored by the Operational Applications Laboratory, Air Research and Development Command, Bolling Air Force Base, Washington 25, D. C.)
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