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- Bilinear_transform abstract "The bilinear transform (also known as Tustin's method) is used in digital signal processing and discrete-time control theory to transform continuous-time system representations to discrete-time and vice versa. The bilinear transform is a special case of a conformal mapping (namely, the Möbius transformation), often used to convert a transfer function of a linear, time-invariant (LTI) filter in the continuous-time domain (often called an analog filter) to a transfer function of a linear, shift-invariant filter in the discrete-time domain (often called a digital filter although there are analog filters constructed with switched capacitors that are discrete-time filters). It maps positions on the axis, , in the s-plane to the unit circle, , in the z-plane. Other bilinear transforms can be used to warp the frequency response of any discrete-time linear system (for example to approximate the non-linear frequency resolution of the human auditory system) and are implementable in the discrete domain by replacing a system's unit delays with first order all-pass filters.The transform preserves stability and maps every point of the frequency response of the continuous-time filter, to a corresponding point in the frequency response of the discrete-time filter, although to a somewhat different frequency, as shown in the Frequency warping section below. This means that for every feature that one sees in the frequency response of the analog filter, there is a corresponding feature, with identical gain and phase shift, in the frequency response of the digital filter but, perhaps, at a somewhat different frequency. This is barely noticeable at low frequencies but is quite evident at frequencies close to the Nyquist frequency.".
- Bilinear_transform wikiPageID "4628".
- Bilinear_transform wikiPageRevisionID "597471530".
- Bilinear_transform bot "yes".
- Bilinear_transform date "June 2009".
- Bilinear_transform hasPhotoCollection Bilinear_transform.
- Bilinear_transform subject Category:Control_theory.
- Bilinear_transform subject Category:Digital_signal_processing.
- Bilinear_transform subject Category:Transforms.
- Bilinear_transform comment "The bilinear transform (also known as Tustin's method) is used in digital signal processing and discrete-time control theory to transform continuous-time system representations to discrete-time and vice versa.".
- Bilinear_transform label "Bilineaire transformatie".
- Bilinear_transform label "Bilinear transform".
- Bilinear_transform label "Bilineare Transformation (Signalverarbeitung)".
- Bilinear_transform label "Metoda Tustina".
- Bilinear_transform label "Transformación bilineal".
- Bilinear_transform label "Билинейное преобразование".
- Bilinear_transform label "双一次変換".
- Bilinear_transform sameAs Bilineare_Transformation_(Signalverarbeitung).
- Bilinear_transform sameAs Transformación_bilineal.
- Bilinear_transform sameAs 双一次変換.
- Bilinear_transform sameAs Bilineaire_transformatie.
- Bilinear_transform sameAs Metoda_Tustina.
- Bilinear_transform sameAs m.01gxm.
- Bilinear_transform sameAs Q861804.
- Bilinear_transform sameAs Q861804.
- Bilinear_transform wasDerivedFrom Bilinear_transform?oldid=597471530.
- Bilinear_transform isPrimaryTopicOf Bilinear_transform.