The output of a relaxed LTI system is given by

where *y*(*n*) is the output of the LTI system, *x*(*n*) is the input of LTI system and *h*(*n*) is the impulse response of the system. The output is the convolution of input and impulse response.

Let be the *z*-transform pairs.

From Eq. (6.79), we can write after taking *z*-transform,

Using convolution property we can write that

In Eq. (6.82) *H*(*z*) is known as system function which is the *z*-transform of the unit ...

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