EllipticFilterModel

EllipticFilterModel[n]
designs a lowpass elliptic filter of order n.

EllipticFilterModel[{n,ωc}]
uses the cutoff frequency .

EllipticFilterModel[{"type",spec}]
designs an elliptic filter of the specified type , using the spec.

EllipticFilterModel[{"type",spec},var]
expresses the model in terms of the variable var.

DetailsDetails

  • EllipticFilterModel returns the designed filter as a TransferFunctionModel.
  • EllipticFilterModel[n] uses machine precision to return a filter with attenuation of at frequency 1.
  • In EllipticFilterModel[{"type",spec},var], filter specification can be any of the following:
  • {"Lowpass",{ωp,ωs},{ap,as}}lowpass filter specification
    {"Highpass",{ωs,ωp},{as,ap}}highpass filter specification
    {"Bandpass",{ωs1,ωp1,ωp2,ωs2},{as,ap}}bandpass filter specification
    {"Bandstop",{ωp1,ωs1,ωs2,ωp2},{ap,as}}bandstop filter specification
  • Frequency values should be given in an ascending order.
  • Values and are absolute values of passband and stopband attenuations, respectively.
  • Given a gain fraction , the attenuation .

ExamplesExamplesopen allclose all

Basic Examples  (2)Basic Examples  (2)

A third-order elliptic filter model with cutoff frequency at :

In[1]:=
Click for copyable input
Out[1]=

Bode plot of the filter:

In[2]:=
Click for copyable input
Out[2]=

A lowpass elliptic filter using the full specification:

In[1]:=
Click for copyable input
Out[1]=

Magnitude response of the filter showing the ideal filter characteristics:

In[2]:=
Click for copyable input
Out[2]=
Introduced in 2012
(9.0)