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### Butterworth low pass filters

There are so many digital filters like FIR and IIR filter, here this article gives one more analog type batter-worth filter. To shown in figure typical characteristics of batter-worth low pass filter.

This type of response is called a butter-worth response because its main characteristics are that the pass-band maximally flat. It means there are no variations in the pass-band device.

Now the magnitude squared response of low pass butter-worth filters is given by,

│H(Ω)2  =   1   /  1 + (Ω/Ωc)2N

Where;

H(Ω) = Magnitude of analog low pass filter
N = Order of the filter
= Cut of frequency

Silent features of low pass butter-worth filter :
• Since the magnitude response is nearly constant at lower frequencies. That means passband and are maximally flat.
• There are no ripples in the passband and also for stopband.
• The maximum gain occurs at the value at Ω = 0 and it is │H(0)│= 1
• The magnitude response is monotonically decreasing.
Application of Butter-worth filter :
• Butter-worth filter can be used as radar such as in designing the display of radar target track.
• In high quality, an audio application,s these are used.
• These are also used in the digital filter for motion analysis.
• This type of filter most commonly used in anti-aliasing filter in data converter applications
There are so many digital filters like FIR and IIR filter, here this article gives one more analog type batter-worth filter. To shown in figure typical characteristics of batter-worth low pass filter.

This type of response is called a butter-worth response because its main characteristics are that the pass-band maximally flat. It means there are no variations in the pass-band device.

Now the magnitude squared response of low pass butter-worth filters is given by,

│H(Ω)2  =   1   /  1 + (Ω/Ωc)2N

Where;

H(Ω) = Magnitude of analog low pass filter
N = Order of the filter
= Cut of frequency

Silent features of low pass butter-worth filter :
• Since the magnitude response is nearly constant at lower frequencies. That means passband and are maximally flat.
• There are no ripples in the passband and also for stopband.
• The maximum gain occurs at the value at Ω = 0 and it is │H(0)│= 1
• The magnitude response is monotonically decreasing.
Application of Butter-worth filter :
• Butter-worth filter can be used as radar such as in designing the display of radar target track.
• In high quality, an audio application,s these are used.
• These are also used in the digital filter for motion analysis.
• This type of filter most commonly used in anti-aliasing filter in data converter applications