In Chapter 8 the use of discrete time signals was described as an important consequence of using digital computers in signal processing. The analysis of sampled signals revealed a number of special properties of the Fourier transform with discrete time signals (DTFT). From these observations, it emerges that the application of *digital signal processing* (DSP) may benefit from a different transform that simplifies both the mathematics and the computational requirements by recognizing the special nature of discrete signals. The *z*-transform incorporates aspects of both the Fourier transform and the Laplace transform when dealing with discrete signals.

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