Z-Transform

GPTKB entity

Statements (50)
Predicate Object
gptkbp:instanceOf Mathematical transform
gptkbp:application Difference equations
Digital filter design
System stability analysis
gptkbp:designer Inverse Z-Transform
gptkbp:domain gptkb:Complex_plane
gptkbp:field gptkb:Mathematics
gptkb:signal_processing
gptkb:Control_theory
gptkbp:generalizes gptkb:Discrete-time_Fourier_transform
gptkbp:hasType gptkb:Bilateral_Z-Transform
gptkb:Unilateral_Z-Transform
https://www.w3.org/2000/01/rdf-schema#label Z-Transform
gptkbp:introduced gptkb:E._I._Jury
gptkb:W._Hurewicz
gptkbp:introducedIn 1947
gptkbp:inverseMethod Partial fraction expansion
Power series expansion
Residue method
gptkbp:notation F(z)
Z{f[n]}
gptkbp:property Convolution
Linearity
Final value theorem
Initial value theorem
Scaling in the z-domain
Time shifting
gptkbp:regionOfConvergence gptkb:ROC
gptkbp:relatedTo gptkb:Laplace_transform
gptkb:Fourier_transform
gptkbp:seeAlso gptkb:Laplace_transform
gptkb:Fourier_transform
gptkb:Discrete_Fourier_transform
Digital signal processing
Causality
Stability
Sampling
Frequency response
Transfer function
Difference equation
Impulse response
Linear system
Poles and zeros
System function
Time-invariant system
gptkbp:usedFor Analysis of discrete-time signals
Analysis of discrete-time systems
gptkbp:variant z
gptkbp:bfsParent gptkb:Signal_Processing
gptkbp:bfsLayer 5