Analog Filter Design
Analog Filter Transfer Functions | Output Response |
Poles and Zeros of Analog Filters | Different Types of Analog Filters |
Frequency Response of Analog Filters |
BiquadraticFilterModel | biquadratic filter model |
ButterworthFilterModel | Butterworth filter model |
Chebyshev1FilterModel | Chebyshev type 1 filter model |
Chebyshev2FilterModel | Chebyshev type 2 filter model |
EllipticFilterModel | elliptic filter model |
BesselFilterModel | Bessel filter model |
Each one of the classic filters is defined by a particular choice of the function
, where
defines the order of the filter.
![](Files/AnalogFilterDesign.en/1.png)
![](Files/AnalogFilterDesign.en/2.png)
Here
is the Chebyshev polynomial of the first kind of order
and
is the Chebyshev rational function.
The Bessel filter is another popular analog filter with a formulation in terms of rational polynomials.
![](Files/AnalogFilterDesign.en/4.png)
![](Files/AnalogFilterDesign.en/5.png)
![](Files/AnalogFilterDesign.en/6.png)
TransferFunctionModel | transfer function of the analog filter |
TransferFunctionExpand | expanded transfer function |
TransferFunctionFactor | factored transfer function |
TransferFunctionPoles | extract poles of analog filters |
TransferFunctionZeros | extract zeros of analog filters |
Create Filters of Different Types
Create a lowpass Butterworth filter with edge frequencies at 500Hz and 1000Hz and attenuations of 1dB and 20dB for passband and stopband, respectively:
Create a highpass Butterworth filter with edge frequencies at 500Hz and 1000Hz and attenuations of 1dB and 20dB for passband and stopband, respectively:
Create a bandpass Butterworth filter with edge frequencies at 500Hz and 1000Hz and attenuations of 1dB and 20dB for passband and stopband, respectively:
Create a bandstop Butterworth filter with edge frequencies at 500Hz and 1500Hz and attenuations of 1dB and 20dB for passband and stopband, respectively:
Convert between Filter Types
TransferFunctionTransform | transform a transfer function |