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Filtering and System Identification by Vincent Verdult, Michel Verhaegen

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3

Discrete-time signals and systems

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After studying this chapter you will be able to

•  define discrete-time and continuous-time signals;

•  measure the “size” of a discrete-time signal using norms;

•  use the z-transform to convert discrete-time signals to the complex z-plane;

•  use the discrete-time Fourier transform to convert discrete-time signals to the frequency domain;

•  describe the properties of the z-transform and the discrete-time Fourier transform;

•  define a discrete-time state-space system;

•  determine properties of discrete-time systems such as stability, controllability, observability, time invariance, and linearity;

•  approximate ...

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