Filter Poles - what are they?

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When a filter has X poles, what does that mean?

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Chase wrote:When a filter has X poles, what does that mean?
If it has only X poles, then the filter is a female. It would need a Y pole to be a male filter.


:hihi:
McLilith

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It basically refers to the dB/octave frequency dropoff rate on the "active" side of the filter (the side where frequencies are filtered off the signal). A 4-pole lpf will have a slope that's 1/2 as steep as an 8-pole lpf for frequencies above the filter cutoff value.

I believe that the "pole" terminology came about because of the specific electronics which were used to create these filters in pre-VST days.
A well-behaved signature.

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McLilith wrote:
Chase wrote:When a filter has X poles, what does that mean?
If it has only X poles, then the filter is a female. It would need a Y pole to be a male filter.


:hihi:
McLilith
I didn't think females had "poles" at all! :D
A well-behaved signature.

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in practical use: a higher number of poles gives a sharper cutoff.

in theoretical terms:
http://www.maxim-ic.com/appnotes.cfm/appnote_number/733

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Usualy goes somthing like this.

1 pole=6dB
More poles=steeper filtration
2-pole filter=12dB/octave
4-pole filter=24dB/octave

Either that, or it has something to do with a dead pope...

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2 pole is my favourite, it's modest and understated, like me

4 pole is like OooH LOOK AT ME I am USInG A FiLTER , it's way too obnoxious and attention seeking for me

know what i'm saying?
blasphemy is a victimless crime

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Chase wrote:When a filter has X poles, what does that mean?
In theory it means that the denominator of the transfer function polynomial has X zeroes. In practise it means that the total combined falloff rate of the filter is X*6dB/octave.
For lowpass filters 4 pole would mean 24dB/oct. For bandpass it would mean 12dB/oct (as you have two slopes).

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:love: 2 pole filters.


Just thought I would share that with you all!

:hihi:

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antti wrote:In theory it means that the denominator of the transfer function polynomial has X zeroes.
Ah, thank goodness some still remember the Olden Dayes and the maths behind the sound. :-)

Meffy

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JerGoertz wrote: I believe that the "pole" terminology came about because of the specific electronics which were used to create these filters in pre-VST days.
No, the term pole is because of the mathematical formulation of a filter in Laplace or Fourier space.

antti decriped that aswell.

I am just doing that stuff in my studies at the moment, just more general not for audio.

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Churchy wrote:2 pole is my favourite, it's modest and understated, like me

4 pole is like OooH LOOK AT ME I am USInG A FiLTER , it's way too obnoxious and attention seeking for me

know what i'm saying?
:lol: HAH! :lol:

Thanks for that read! Best laugh I've had all morning!

Cheers.

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When a tent has X poles, it means it will be easy to fold for carrying and storage.

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The filter takes away 6 db of volume an octave above the filter cutoff point for each "pole."
It then continues at that rate.

ex.

A 2 pole LowPass with a cutoff of 500hz.
In the next octave, the volume level of all frequencies will go from 0 dB to -12 dB. An octave after that, -12 to -24, then -24 to -36, etc etc, until you can no longer hear anything.

If it's a 4 pole, it's 24 dB per octave. 0dB to -24 in octave one, -24 to -48 in the next octave, etc.

Here's a graph showing what a lowpass filter looks like

Image
(yes it goes way beyond the audible frequecy range, it's the best I could find :D)
See where it slopes downwards? The "poles" describe how steep that slope is. How immediately the volume goes from 0 dB to below audible level. It's measured in dB per octave, as described above. "Poles" just mean 6dB per octave for each pole. The more poles, the steeper the slope.

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And resonance?
Is that the little bump before the slope down?
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