BesselFilterModel

BesselFilterModel[n]

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

Examples

open allclose all

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:

Introduced in 2012
 (9.0)