designs a lowpass Bessel filter of order n and cutoff frequency 1.
BesselFilterModel [{n,ωc}]
uses the cutoff frequency ωc.
BesselFilterModel [{n,ωc},var]
expresses the model in terms of the variable var.
BesselFilterModel
designs a lowpass Bessel filter of order n and cutoff frequency 1.
BesselFilterModel [{n,ωc}]
uses the cutoff frequency ωc.
BesselFilterModel [{n,ωc},var]
expresses the model in terms of the variable var.
Details
- BesselFilterModel returns the designed filter as a TransferFunctionModel .
- BesselFilterModel [n] uses machine precision to return a filter with attenuation of at frequency 1.
Examples
open all close allBasic Examples (2)
A third-order Bessel filter model with cutoff frequency at :
Bode plot of the modeled filter:
A sixth-order lowpass Bessel filter with cutoff frequency at :
Magnitude response of the filter showing the ideal filter characteristics:
Scope (1)
A symbolic representation of an order-2 lowpass filter:
A second-order Bessel filter model with cutoff frequency at :
Applications (1)
Create a lowpass Bessel filter:
Filter out high-frequency noise from a sinusoidal signal:
Create a highpass Bessel filter from the lowpass prototype:
Filter out low-frequency sinusoid from the input:
Properties & Relations (4)
Show the denominator of the transfer function as a Bessel polynomial:
Find the poles of a Bessel filter by solving for the roots of the denominator:
Extract poles using TransferFunctionPoles :
Implement a lowpass digital Bessel filter:
Convert a lowpass filter to high pass:
Related Guides
History
Text
Wolfram Research (2012), BesselFilterModel, Wolfram Language function, https://reference.wolfram.com/language/ref/BesselFilterModel.html.
CMS
Wolfram Language. 2012. "BesselFilterModel." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/BesselFilterModel.html.
APA
Wolfram Language. (2012). BesselFilterModel. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/BesselFilterModel.html
BibTeX
@misc{reference.wolfram_2025_besselfiltermodel, author="Wolfram Research", title="{BesselFilterModel}", year="2012", howpublished="\url{https://reference.wolfram.com/language/ref/BesselFilterModel.html}", note=[Accessed: 17-November-2025]}
BibLaTeX
@online{reference.wolfram_2025_besselfiltermodel, organization={Wolfram Research}, title={BesselFilterModel}, year={2012}, url={https://reference.wolfram.com/language/ref/BesselFilterModel.html}, note=[Accessed: 17-November-2025]}