Two-sided Z-Transform

GPTKB entity

Statements (26)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:application filter design
system analysis
stability analysis
gptkbp:defines X(z) = Σ_{n=-∞}^{∞} x[n] z^{-n}
gptkbp:designer Inverse Z-Transform
gptkbp:field gptkb:mathematics
gptkb:signal_processing
gptkbp:generalizes gptkb:Discrete-Time_Fourier_Transform_(DTFT)
Laplace Transform (for discrete signals)
https://www.w3.org/2000/01/rdf-schema#label Two-sided Z-Transform
gptkbp:notation X(z)
Z{x[n]}
gptkbp:property linearity
convolution
final value theorem
initial value theorem
time-shifting
scaling in the z-domain
gptkbp:regionOfConvergence region in the complex plane
gptkbp:relatedTo gptkb:Z-Transform
one-sided Z-Transform
gptkbp:usedFor analysis of discrete-time signals
gptkbp:variant z (complex variable)
gptkbp:bfsParent gptkb:Bilateral_Z-Transform
gptkbp:bfsLayer 7