Statistical design theory for strictly digital sampled-data systems

THIS PAPER presents a synthesis procedure for designing optimum sampled-data systems on a statistical basis. It deals with a strictly digital system, in which case the desired output is undefined except at sampling instants. Consequently such consideration as error between sampling instants is meaningless. In the past few years, a number of excellent papers have been published on the subject of z-transform theory for the analysis and synthesis of sampled-data systems. However, as most of these papers deal with known inputs such as step, ramp, sinusoidal, etc., there appears still to be room for a theory which is applicable when correlation functions concerning the input signals are the only known factors outside the plant to be controlled.