# 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.

# Examples

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## Basic 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:

## 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:

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

#### 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_2024_besselfiltermodel, author="Wolfram Research", title="{BesselFilterModel}", year="2012", howpublished="\url{https://reference.wolfram.com/language/ref/BesselFilterModel.html}", note=[Accessed: 18-July-2024 ]}

#### BibLaTeX

@online{reference.wolfram_2024_besselfiltermodel, organization={Wolfram Research}, title={BesselFilterModel}, year={2012}, url={https://reference.wolfram.com/language/ref/BesselFilterModel.html}, note=[Accessed: 18-July-2024 ]}