TransferFunctionTransform

TransferFunctionTransform[f,tf]

transforms the TransferFunctionModel object tf using the transformation function f.

Details

  • TransferFunctionTransform returns a TransferFunctionModel.
  • In TransferFunctionTransform[f,tf], tf can be either a continuous or a discrete transfer function model.
  • TransferFunctionTransform effectively replaces the transfer function model variable s with f[s].

Examples

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Basic Examples  (1)

Transform a model of a lowpass filter to high pass:

Applications  (2)

Analog Filter Transformations  (1)

An analog lowpass Butterworth filter:

Lowpass to lowpass transformation of an analog filter:

Lowpass to highpass transformation of an analog filter:

Lowpass to band-stop transformation of an analog filter:

Lowpass to bandpass transformation of an analog filter:

Digital Filter Transformations  (1)

Lowpass to lowpass transformation of a digital filter:

Possible Issues  (1)

Specified transformation might return an invalid transfer function model:

Wolfram Research (2012), TransferFunctionTransform, Wolfram Language function, https://reference.wolfram.com/language/ref/TransferFunctionTransform.html.

Text

Wolfram Research (2012), TransferFunctionTransform, Wolfram Language function, https://reference.wolfram.com/language/ref/TransferFunctionTransform.html.

CMS

Wolfram Language. 2012. "TransferFunctionTransform." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/TransferFunctionTransform.html.

APA

Wolfram Language. (2012). TransferFunctionTransform. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/TransferFunctionTransform.html

BibTeX

@misc{reference.wolfram_2023_transferfunctiontransform, author="Wolfram Research", title="{TransferFunctionTransform}", year="2012", howpublished="\url{https://reference.wolfram.com/language/ref/TransferFunctionTransform.html}", note=[Accessed: 19-March-2024 ]}

BibLaTeX

@online{reference.wolfram_2023_transferfunctiontransform, organization={Wolfram Research}, title={TransferFunctionTransform}, year={2012}, url={https://reference.wolfram.com/language/ref/TransferFunctionTransform.html}, note=[Accessed: 19-March-2024 ]}