This thesis describes the simulation of a digital communication system on a digital computer. Delta modulation was chosen as the system, and its mode of action is first described. Several variations of the basic system are possible. In order to get the best transmission quality, a careful choice must be made of the system and of its design parameters. Conventional methods of finding these optimum parameters have difficulties which digital simulation can circumvent. The programming of the ALWAC III-E computer for this task is described. Difficulties were encountered due to the modest speed of the computer. The simulation experiments yielded many results of interest concerning the operation of both simple and complex delta modulation systems...