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Signals and Systems by Smarajit Ghosh

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12.6 DESCRIBING EQUATION

The linear time invariant (LTI) systems can be represented by the following general difference equation:

 

image

 

The z-transform Eq. (12.26) gives

 

image

 

The system function H(z) is in the rational form which is expressed as the ratio of two polynomials in z –1. It is possible to represent the discrete time system with the help of delay elements, multipliers and adders as elementary blocks. Table 12.3 gives a brief summary of these elements.

 

Table 12.3 Summary of elementary blocks used to represent discrete time systems ...

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