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Roll-off rate of second-order filter

Roll-off rate of second-order filter

So a first-order filter has a roll-off rate of 20dB/decade (6dB/octave), a second-order filter has a roll-off rate of 40dB/decade (12dB/octave), and a fourth-order filter has a roll-off rate of 80dB/decade (24dB/octave), etc, etc.

  1. What is the roll-off of a second order filter?
  2. What is roll-off rate of a filter?
  3. What is the rolloff rate of a 2nd order active filter?
  4. What is the roll-off rate of the second order low pass Butterworth filter?

What is the roll-off of a second order filter?

For second-order filters it is 40 dB/decade (or 12 dB/octave) and for third-order filters it is 60 dB/decade (or 18 dB/octave). Each successive order adds a further 20 dB/decade (or 6 dB/octave) to the roll-off.

What is roll-off rate of a filter?

A: The rolloff rate is the rate of change of the output of the filter versus frequency. It is expressed as a loss per decade (a ten-times increase in frequency) or per octave (a two-time increase in frequency.

What is the rolloff rate of a 2nd order active filter?

Because the filter is second order, the rolloff after the cutoff frequency on a bode plot of a 2nd order low pass filter for example, is -40 dB/decade as opposed to -20 dB/decade for a first order (RC) filter which means significantly greater attenuation outside the pass band and a sharper cutoff.

What is the roll-off rate of the second order low pass Butterworth filter?

A first-order filter's response rolls off at −6 dB per octave (−20 dB per decade) (all first-order lowpass filters have the same normalized frequency response). A second-order filter decreases at −12 dB per octave, a third-order at −18 dB and so on.

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