PSN-L Email List Message
Subject: Re: Geophone Velocity Question
From: Bob Smither Bob@...........
Date: Fri, 09 Nov 2012 08:30:27 -0600
On Fri, 2012-11-09 at 06:10 -0800, GMVoeth GM wrote:
> Hello PSN,
>
> I know with a velocity sensor the voltage increases with frequency after
> F0 if given the same
> vertical motion amplitude. This seems to be because as the frequency
> increases
> so does the velocity and thus, the voltage output.
>
> This means to me the energy also increases as the square of the velocity.
> So like, double the velocity, quadruple the energy.
>
> What i would like to do is: filter at f0 (1.0Hz) so that given
> a steady shake amplitude (sine wave) but incresing frequency
> that the voltage will remain constant.
>
> Now I understand this may not be possible.
I think it is. A simple RC low pass filter (R from signal to C, C to
ground, output at junction of R and C) gives:
T(S) = 1 / (R*C*S + 1)
Above w = 1/(R*C) this is
T(S) ~ 1 / (R*C*S)
exactly what you need to reduce gain proportional to frequency.
For your example, w = 2*pi*1Hz = 1/RC so C = 1ufd, R = 160K should work.
--
Bob Smither bob@...........
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