Statements (28)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
Mathematical transform
|
| gptkbp:alsoKnownAs |
gptkb:Unilateral_Z-Transform
|
| gptkbp:application |
System stability analysis
Solving linear difference equations Digital filter analysis |
| gptkbp:defines |
Z{x[n]} = Σ_{n=0}^{∞} x[n]z^{-n}
|
| gptkbp:designer |
Inverse Z-Transform
|
| gptkbp:domain |
n ≥ 0
|
| gptkbp:field |
gptkb:Mathematics
gptkb:signal_processing |
| https://www.w3.org/2000/01/rdf-schema#label |
One-sided Z-Transform
|
| gptkbp:introducedIn |
1958
|
| gptkbp:inventedBy |
gptkb:E._I._Jury
|
| gptkbp:mapType |
Discrete-time sequence to complex frequency domain
|
| gptkbp:property |
Linearity
Final value theorem Initial value theorem Time-shifting Convolution property Scaling in z-domain |
| gptkbp:regionOfConvergence |
Set of z for which the sum converges
|
| gptkbp:relatedTo |
gptkb:Laplace_Transform
gptkb:Two-sided_Z-Transform |
| gptkbp:usedFor |
Analysis of discrete-time signals
Analysis of discrete-time systems |
| gptkbp:variant |
z
|
| gptkbp:bfsParent |
gptkb:Unilateral_Z-Transform
|
| gptkbp:bfsLayer |
7
|