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Unilateral Z-transform

Inverse Z-transform | Region of convergence | Examples conclusion | Properties | Relationship to Laplace transform | Process of sampling | Relationship to Fourier transform | Linear constant-coefficient difference equation | Zeros and poles | Output response |


Читайте также:
  1. Bilateral Z-transform
  2. Inverse Z-transform

Alternatively, in cases where x [ n ] is defined only for n ≥ 0, the single-sided or unilateral Z-transform is defined as

In signal processing, this definition can be used to evaluate the Z-transform of the unit impulse response of a discrete-time causal system.

An important example of the unilateral Z-transform is the probability-generating function, where the component is the probability that a discrete random variable takes the value , and the function is usually written as , in terms of . The properties of Z-transforms (below) have useful interpretations in the context of probability theory.


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Bilateral Z-transform| Geophysical definition

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