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Linear Discrete Systems and the Z-Transform

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Introduction to Applied Digital Controls
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Abstract

The primary new component of discrete (or digital, we won’t treat the effects of quantization) systems is the notion of time discretization. No longer are we dealing with variables which are functions of time, now we have sequences of discrete numbers. These discrete numbers may come from sampling a continuous variable, or they may be generated within a computer. In either case, the tools that were used in the analysis of continuous variables will no longer work. We need new methods.

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Notes

  1. 1.

    Leonardo Fibonacci of Pisa, who introduced Arabic notation to the Latin world about 1200 A.D.

  2. 2.

    The guy I’d like to meet is the guy who first figured out what to assume!

  3. 3.

    This is the value of the Golden Ratio; see C. Moler, Numerical Computing with MATLAB.

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Starr, G. (2020). Linear Discrete Systems and the Z-Transform. In: Introduction to Applied Digital Controls. Springer, Cham. https://doi.org/10.1007/978-3-030-42810-5_2

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