Re: Area or height??

From: Marty Bigos (mbigos@gladstone.ucsf.edu)
Date: Fri Mar 02 2001 - 16:13:44 EST


>Marty Bigos wrote-
>
>>I think Howard hit upon the major issues here, but I will take a stab
>>at obfuscation.
>>
>>In general THERE IS NOTHING WRONG WITH MEASURING PEAK HEIGHTS in an
>>analog system. There are limitations, and the primary one is dynamic
>>range. To measure the peak height one needs a way to detect the peak.
>>In analog circuitry, these are known as "peak detect circuits", "peak
>>sense and hold" circuits, etc. They do not have a four decade dynamic
>>range. So for linear measurements, e.g. DNA, or ratios that vary by
>>less than 20-fold or so, these circuits are fine. For
>>immunofluoresence, the dynamic range is too great, so range
>>compression is needed. This is where the log amps come in. The
>>outputs of the log amps can then be measured by peak detection
>>circuits, yielding a four decade range at a lower resolution than the
>>linear scaling.
>
>Well, not quite.  There is something wrong with measuring peak
>heights in an analog system when the beam height is close to or
>smaller than the cell diameter, because, under those conditions, the
>peak height doesn't give you the answer you're looking for, i.e.,
>how much fluorescent stuff is there in or on the cell, because the
>peak height isn't proportional to the area.


You are correct. I was assuming that the optical layout resulted in a
beam height larger than the measured object.

>
>
>>In analog circuitry, area measurements suffer similar design
>>limitations as peak detection circuits. So if your measurements are
>>scalable to a linear domain, analog area measurements of linearly
>>amplified signals will work fine. This is very useful, as pointed
>>out, for doublet discrimination. If the dynamic range is too great,
>>there is no range compression fix; as Howard pointed out the area of
>>the log is not meaningful.
>
>And, as I noted, one can get the log of the area by low pass
>filtering the preamp signal, in effect integrating it, and making
>the peak height proportional to the area or integral of the original
>signal, before putting the signal through the log amp and detecting
>the peak of the log signal.
>
>>I also want to point out that many preamplification systems used in
>>flow electronics are bandwith limited, which, in essence, means they
>>are doing some integration as well. In general, this has mostly
>>helped the accuracy of the measurements.
>
>It decreases the accuracy of peak measurements, but makes them
>closer to area measurements - two wrongs sort of make a right, in
>this instance.

Almost all amplification systems are bandwith limited, so in that
sense are low pass filters. The question is, what is a reasonable
limitation for flow electronics. That will depend on the maximum jet
velocity and the size of the spot on the jet. For current flow
systems, these parameters result in a transit time of an object
varying from 1 to 10 usec through the interrogation spot. Thus I
believe (and the electrical engineers can correct me here) that a
bandwith higher than a few mHz will just allow the statistical
photoelectron signals to be seen and won't add (and probably
subtract) from overall measurement accuracy. In this sense the preamp
gives one a moving average output from the higher frequency input. I
am not sure if I would consider that design choice a "wrong".

Marty

>
>
>>i hope this doesn't confuse the issues more.
>
>Me too.
>
>-Howard



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