PSN-L Email List Message

Subject: coil/magnet sensors
From: Randall Peters PETERS_RD@..........
Date: Thu, 19 Feb 2009 19:42:07 -0500


Larry,
      The primary reason for poor signal to noise ratio at long periods wit=
h a coil/magnet system involves the physics employed.  Such a sensor functi=
ons on the basis of Faraday's law, which says that a time changing magnetic=
 flux gives rise to a voltage.  The key word in this process is 'changing';=
 the output depends on the flux rate.  If the boom of the seismometer is sw=
inging sinusoidally at a frequency f, then the amplitude of the output volt=
age of the sensor is proportional to f-which is the very nature of the time=
 derivative of the sine function, involving the chain rule.  Because the si=
gnal is proportional to f, the signal level decreases by the same amount as=
 f decreases.  Regardless of the nature of the noise, this means there is a=
 significant reduction in the signal to noise ratio for accelerations havin=
g a frequency below the natural frequency of the instrument.  When operatin=
g without the high-pass filter with your S-G instrument, your output is not=
 rate sensitive; therefore it isn't afflicted with this low frequency loss.=
  The 'wandering' you experience is actually representative of the various =
changes occurring.  Although some of those changes are oftentimes the undes=
irables of instrument thermal coefficient or whatever, there are also signi=
ficant variations associated with the Earth itself.  When you high pass the=
 output, any earth motions having frequencies lower than the cutoff  are su=
ppressed.  I operate the VolksMeter with a high pass and also low pass filt=
er of recursive type in WinSDR.  The primary reason is so that the helicord=
 record is well behaved for purpose of seeing earthquakes.  But for viewing=
 tides, or magnetoelastic phenomena, or earth hum, or .... It is necessary =
to look at the unfiltered output, which is what I save.
      The obsession with 'velocity' sensing is almost universal.  Even forc=
e balance instruments of the highest dollar type use a network that causes =
the seismograph to behave just like a magnet/coil system with a low corner =
frequency, usually about 30 s.  Thus the greatest advantage of the capaciti=
ve sensor is actually lost, for signals having frequencies lower than the d=
esign corner.  For signal variations having a frequency below the corner, t=
he output from such an instrument is not 'velocity'; it is instead the deri=
vative of acceleration, called the 'jerk'.  Only for drive frequencies abov=
e the corner can one use the term 'velocity' appropriately.
    Randall











Larry,

      The primary reason for = poor signal to noise ratio at long periods with a coil/magnet system involves th= e physics employed.  Such a sensor functions on the basis of FaradayR= 17;s law, which says that a time changing magnetic flux gives rise to a voltage.=   The key word in this process is ‘changing’; the output depends = on the flux rate.  If the boom of the seismometer is swinging sinusoidall= y at a frequency f, then the amplitude of the output voltage of the sensor is proportional to f—which is the very nature of the time derivative of = the sine function, involving the chain rule.  Because the signal is propor= tional to f, the signal level decreases by the same amount as f decreases.  Regardless of the nature of the noise, this means there is a significant reduction in the signal to noise ratio for accelerations having a frequency below the natural frequency of the instrument.  When operating without= the high-pass filter with your S-G instrument, your output is not rate sensitiv= e; therefore it isn’t afflicted with this low frequency loss.  The = ‘wandering’ you experience is actually representative of the various changes occurring.  Although some of those changes are oftentimes the undesira= bles of instrument thermal coefficient or whatever, there are also significant v= ariations associated with the Earth itself.  When you high pass the output, any earth motions having frequencies lower than the cutoff  are suppressed= ..  I operate the VolksMeter with a high pass and also low pass filter of recur= sive type in WinSDR.  The primary reason is so that the helicord record is = well behaved for purpose of seeing earthquakes.  But for viewing tides, or magnetoelastic phenomena, or earth hum, or …. It is necessary to look= at the unfiltered output, which is what I save. 

      The obsession with R= 16;velocity’ sensing is almost universal.  Even force balance instruments of the highest dollar type use a network that causes the seismograph to behave jus= t like a magnet/coil system with a low corner frequency, usually about 30 s.  Thus the greatest advantage of the capacitive sensor is actually l= ost, for signals having frequencies lower than the design corner.  For sign= al variations having a frequency below the corner, the output from such an instrument is = not ‘velocity’; it is instead the derivative of acceleration, called the ‘jerk’= ..  Only for drive frequencies above the corner can one use the term ‘vel= ocity’ appropriately.

    Randall


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