A Dynamic System Matching Technique-An Analytical Study

Abstract

In the design of an analog system, the system is typically modelled by a differential equation with several coefficients as design parameters. In the manufacture of these systems, the production systems will vary from the design model due to manufacturing imperfections in the coefficients. Recently, the authors presented a method for controlling the effects of manufacturing variability by combining the outputs from several production systems, that are nominally the same, using a technique based on the concept of dynamic element matching. Heuristic analyses and a simulation indicated that this method can effectively control errors, caused by manufacturing variability, in a system output. In this paper, a rigorous analysis of this technique applied to an idealized analog system is developed which shows conclusively that the DSMT reduces the effect of the noise due to coefficient errors. The formulae developed can be used in the design of DSMT systems. © Springer International Publishing Switzerland 2015.