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Linear constant-coefficient difference equation

Bilateral Z-transform | Unilateral Z-transform | Geophysical definition | Inverse Z-transform | Region of convergence | Examples conclusion | Properties | Relationship to Laplace transform | Process of sampling | Output response |


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The linear constant-coefficient difference (LCCD) equation is a representation for a linear system based on the autoregressive moving-average equation.

Both sides of the above equation can be divided by , if it is not zero, normalizing and the LCCD equation can be written

This form of the LCCD equation is favorable to make it more explicit that the "current" output is a function of past outputs , current input , and previous inputs .

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Relationship to Fourier transform| Zeros and poles
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