Chapter Four. Review of the Z-Transform

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The z-transform plays a significant role in the design of digital hardware. In a great many instances, the mathematics of a discrete time system can be simplified through the use of the z-transform. The z-transform for discrete time signals is analogous to the Laplace transform for continuous time signals.

As we shall see, the z-transform is closely related to the Fourier transform and as a result allows us to easily compute the frequency response of a discrete time system. We can also use the transform to determine the stability of a digital system by investigating the poles of the system transfer function. ...

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