A Dynamic System Matching Technique

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Dynamic Systems: Modeling, Performance and Applications


Nova Science Publishers, Inc.

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Analog systems are typically modelled by differential equations with several coefficients as design parameters. Manufacturing processes produce systems whose coefficients vary from the desired coefficients of the system designs. One way of controlling the variability of a manufactured system is to impose extremely tight control on the manufacturing process so that the component values are within some specified, acceptable bounds. This can be expensive and, for some applications, it may even be impossible to achieve acceptable bounds. In this chapter, a signal processing technique, which is a generalization of an electronic system design technique called a dynamic element matching technique (DEMT) and which is called a dynamic system matching technique (DSMT), is presented for controlling the noise signal in the output of system due to manufacturing errors. In this technique the outputs from several analog systems, that are nominally the same, are combined through a switching circuit. This method can effectively control the noise in the output signal of a system when the noise is due to manufacturing errors. It is shown analytically that applying a DSMT to a particular class of linear single input-single output (SISO) analog systems reduces the effect of the noise due to manufacturing errors. This analysis provides formulae that can be used in the design of a DSMT for elements in that class of systems. A simple simulation is included to illustrate the characteristics of the various noises associated with the output signal of a system which has been designed using a DSMT. An example of a DSMT applied to improving the accuracy of a micro-electro-mechanical (MEMS) gyroscope is also included. © 2017 by Nova Science Publishers, Inc.