Bilinear transformation

GPTKB entity

Statements (20)
Predicate Object
gptkbp:instanceOf Mathematical transformation
gptkbp:alsoKnownAs gptkb:Tustin_transformation
gptkbp:application Analog-to-digital conversion
Digital filter design
gptkbp:category Linear fractional transformation
gptkbp:cause Frequency warping
gptkbp:designer z = (1 + sT/2)/(1 - sT/2)
gptkbp:field gptkb:Mathematics
gptkb:signal_processing
gptkb:Control_theory
gptkbp:form s = 2/T * (z-1)/(z+1)
https://www.w3.org/2000/01/rdf-schema#label Bilinear transformation
gptkbp:mapType s-plane to z-plane
gptkbp:namedAfter gptkb:Jules_Henri_Poincaré
gptkbp:preserves Stability
Minimum phase property
gptkbp:relatedTo gptkb:Möbius_transformation
gptkbp:usedFor Mapping continuous-time systems to discrete-time systems
gptkbp:bfsParent gptkb:Linear_Fractional_Transformation
gptkbp:bfsLayer 8