Statements (27)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
Mathematical transform
|
| gptkbp:alsoKnownAs |
gptkb:Two-sided_Z-Transform
|
| gptkbp:application |
Difference equations
Filter design System stability analysis Analysis of linear, time-invariant systems |
| gptkbp:appliesTo |
Sequences defined for all integers n
|
| gptkbp:definedIn |
Z{ x[n] } = Σ_{n=-∞}^{∞} x[n] z^{-n}
|
| gptkbp:domain |
gptkb:Complex_plane
|
| gptkbp:generalizes |
gptkb:Discrete-time_Fourier_transform
|
| https://www.w3.org/2000/01/rdf-schema#label |
Bilateral Z-Transform
|
| gptkbp:introduced |
gptkb:E._I._Jury
|
| gptkbp:inverseTransform |
Inverse Z-Transform
|
| gptkbp:mapType |
Discrete-time signals to complex frequency domain
|
| gptkbp:property |
Convolution
Linearity Final value theorem Initial value theorem Scaling in the z-domain Time shifting |
| gptkbp:regionOfConvergence |
Set of z for which the sum converges
|
| gptkbp:relatedTo |
gptkb:Unilateral_Z-Transform
|
| gptkbp:usedIn |
gptkb:signal_processing
gptkb:Control_theory |
| gptkbp:variant |
z
|
| gptkbp:bfsParent |
gptkb:Z-Transform
|
| gptkbp:bfsLayer |
6
|