Difference between revisions of "Second Order Active Filters"

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2nd order active filtering has two main advantages:
2nd order active filtering has two main advantages:
-High impedance input, low impedance output
* High impedance input, low impedance output
-greater attenuation at high range (-40dB/decade as opposed to -20dB/decade for RC filter)
* greater attenuation at high range (-40dB/decade as opposed to -20dB/decade for RC filter)


The high impedance provided by an op amp circuit protects the instrument providing the signal from passing excessive current which could cause a voltage drop in the measurement signal or damage to the instrument itself.
The high input impedance provided by an op amp circuit protects the instrument providing the signal from passing excessive current which could cause a voltage drop in the measurement signal or damage to the instrument itself.


Because the filter is second order, the rolloff before/after the cutoff frequency or frequencies on a bode plot 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 which can be very useful if the noise frequency is close to the desired signal frequency.
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. This can be very useful if the noise frequency is close to the desired signal frequency.

[[Image:2ndOrderFilterDiagrams.gif]]

(http://ourworld.compuserve.com/homepages/Bill_Bowden/opamp.htm)

Where the cutoff frequency for both high and low pass filters in Hz is:

<math>f=1/(2*pi*sqrt(R_1 R_2 C_1 C_2))</math>




'''External Links'''

http://en.wikipedia.org/wiki/Sallen_Key_filter

Latest revision as of 15:45, 14 December 2008

2nd order active filtering has two main advantages:

  • High impedance input, low impedance output
  • greater attenuation at high range (-40dB/decade as opposed to -20dB/decade for RC filter)

The high input impedance provided by an op amp circuit protects the instrument providing the signal from passing excessive current which could cause a voltage drop in the measurement signal or damage to the instrument itself.

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. This can be very useful if the noise frequency is close to the desired signal frequency.

2ndOrderFilterDiagrams.gif

(http://ourworld.compuserve.com/homepages/Bill_Bowden/opamp.htm)

Where the cutoff frequency for both high and low pass filters in Hz is:



External Links

http://en.wikipedia.org/wiki/Sallen_Key_filter