z-transform

GPTKB entity

Statements (34)
Predicate Object
gptkbp:instanceOf gptkb:transformation
gptkbp:application control systems
difference equations
digital filter design
system stability analysis
signal reconstruction
gptkbp:designer inverse z-transform
gptkbp:domain gptkb:complex_plane
gptkbp:field gptkb:mathematics
gptkb:signal_processing
control theory
gptkbp:form X(z) = Σ x[n]z^{-n}
gptkbp:generalizes gptkb:discrete-time_Fourier_transform
https://www.w3.org/2000/01/rdf-schema#label z-transform
gptkbp:introduced gptkb:E._I._Jury
gptkbp:mapType discrete-time signal to complex frequency domain
gptkbp:property linearity
convolution
final value theorem
initial value theorem
differentiation in the z-domain
scaling in the z-domain
time shifting
gptkbp:region_of_convergence gptkb:ROC
gptkbp:relatedTo gptkb:Laplace_transform
gptkb:Fourier_transform
gptkbp:type bilateral z-transform
unilateral z-transform
gptkbp:usedFor analysis of discrete-time signals
analysis of discrete-time systems
gptkbp:variant z
gptkbp:bfsParent gptkb:Discrete-Time_Systems
gptkb:discrete_Fourier_transform
gptkbp:bfsLayer 6