Butterworth filter

The frequency response plot from Butterworth's 1930 paper.[1]

The Bode plot of a first-order Butterworth low-pass filter

A third-order low-pass filter (Cauer topology). The filter becomes a Butterworth filter with cutoff frequency ωc=1 when (for example) C2=4/3 farad, R4=1 ohm, L1=3/2 henry and L3=1/2 henry.

Gain and group delay of the third-order Butterworth filter with ωc=1

The Butterworth filter is a type of signal processing filter designed to have as flat a frequency response as possible in the passband. It is also referred to as a maximally flat magnitude filter. It was first described in 1930 by the British engineer and physicist Stephen Butterworth in his paper entitled "On the Theory of Filter Amplifiers".

单词	Maximally flat filter
释义	Maximally flat filter 英语百科 Butterworth filter The Butterworth filter is a type of signal processing filter designed to have as flat a frequency response as possible in the passband. It is also referred to as a maximally flat magnitude filter. It was first described in 1930 by the British engineer and physicist Stephen Butterworth in his paper entitled "On the Theory of Filter Amplifiers".
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Maximally flat filter

Butterworth filter